Publications (S....
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Publications (S. Albeverio) 1967 1. Analytische Lösung eines idealisierten Stripping– oder Beugungsproblems, Hel- vetica Physica Acta, 40 , 135–184 (1967) 2. A note on L.D. Faddeev’s three particle theory, Helvetica Physica Acta, 1967, 40 , 745–748 (1967) (with W. Hunziker, W. Schneider, R. Schrader). 1972 3. On bound states in the continuum of N -body systems and the Virial theorem, Annals of Physics, 71 , 167–276 (1972). 4. Scattering theory in a model of quantum fields I, Helvetica Physica Acta, 45 , 302–321 (1972) (Fierz Festschrift). 1973 5. Scattering theory in a model of quantum fields I, Journal of Mathematical Physics, 14 , 1800–1816 (1973). 6. Uniqueness of the physical vacuum and the Wightman functions in the infinite volume limit for some non- polynomial interactions, Commun. Math. Phys., 30 , 171–200 (1973) (with R. Høegh-Krohn). 7. The scattering matrix for some non-polynomial interactions I, Helvetica Physica Acta, 46 , 504–534 (1973) (with R. Høegh-Krohn). 8. The scattering matrix for some non-polynomial interactions II, Helvetica Phys- ica Acta, 46 , 535–545 (1973) (with R. Høegh-Krohn). 9. Asymptotic series for the scattering operator and asymptotic unitarity of the space cut-off interactions, Nuovo Cimento, 18A , 285–307 (1973) (with R. Høegh-Krohn). 10. An introduction to some mathematical aspects of scattering for quantum fields, pp. 299–381 in “Scattering Theory in Mathematical Physics”,Proceedings of the NATO Advanced Study Institute held at Denver, Colorado, 1973, Edts. J.A. La Vita and J.P. Marchand, D. Reidel, Dordrecht, 1974. 1
Transcript of Publications (S....
Publications (S. Albeverio)
1967
1. Analytische Lösung eines idealisierten Stripping– oder Beugungsproblems, Hel-vetica Physica Acta, 40, 135–184 (1967)
2. A note on L.D. Faddeev’s three particle theory, Helvetica Physica Acta, 1967,40, 745–748 (1967) (with W. Hunziker, W. Schneider, R. Schrader).
1972
3. On bound states in the continuum of N -body systems and the Virial theorem,Annals of Physics, 71, 167–276 (1972).
4. Scattering theory in a model of quantum fields I, Helvetica Physica Acta, 45,302–321 (1972) (Fierz Festschrift).
1973
5. Scattering theory in a model of quantum fields I, Journal of MathematicalPhysics, 14, 1800–1816 (1973).
6. Uniqueness of the physical vacuum and the Wightman functions in the infinitevolume limit for some non- polynomial interactions, Commun. Math. Phys., 30,171–200 (1973) (with R. Høegh-Krohn).
7. The scattering matrix for some non-polynomial interactions I, Helvetica PhysicaActa, 46, 504–534 (1973) (with R. Høegh-Krohn).
8. The scattering matrix for some non-polynomial interactions II, Helvetica Phys-ica Acta, 46, 535–545 (1973) (with R. Høegh-Krohn).
9. Asymptotic series for the scattering operator and asymptotic unitarity of thespace cut-off interactions, Nuovo Cimento, 18A, 285–307 (1973) (with R.Høegh-Krohn).
10. An introduction to some mathematical aspects of scattering for quantum fields,pp. 299–381 in “Scattering Theory in Mathematical Physics”,Proceedings of theNATO Advanced Study Institute held at Denver, Colorado, 1973, Edts. J.A. LaVita and J.P. Marchand, D. Reidel, Dordrecht, 1974.
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1974
11. The Wightman axioms and the mass gap for strong interactions of exponentialtype in two-dimensional space-time, Journal of Functional Analysis, 16, 39–82(1974) (with R. Høegh-Krohn).
12. A remark on the connection between stochastic mechanics and the heat equation,Journal of Mathematical Physics, 15, 1745–1747 (1974) (with R. Høegh-Krohn).
1975
13. Homogeneous random fields and statistical mechanics, Journal of FunctionalAnalysis, 19, 242–272 (1975) (with R. Høegh-Krohn).
1976
14. Mathematical theory of Feynman path integrals, Lecture Notes in Mathemat-ics 523, Springer-Verlag 1976 (with R. Høegh-Krohn).
15. Mathematical theory of Feynman path integrals, pp.85–139 in “Probabilistic andfunctional methods in quantum field theory”, Acta Universitatis Wratislaviensis,Wroclaw 1976.
16. The construction of quantum fields with non polynomial interactions, pp.139–205 in “Probabilistic and functional methods in quantum field theory”, ActaUniversitatis Wratislaviensis, Wroclaw 1976.
17. Quasi invariant measures, symmetric diffusion processes and quantum fields,pp.11–59 in “Proceedings of the International Colloquium on MathematicalMethods of Quantum Field Theory”, Editions du CNRS. 1976, (Colloques In-ternationaux du Centre National de la Recherche Scientifique, No. 248). (withR. Høegh-Krohn).
1977
18. Oscillatory integrals and the method of stationary phase in infinitely many di-mensions, with applications to the classical limit of quantum mechanics I, In-ventiones Mathematicae 40, 59–106 (1977), (with R. Høegh-Krohn).
19. Dirichlet forms and diffusion processes on rigged Hilbert spaces, Zeitschriftfür Wahrscheinlichkeitstheorie und verwandte Gebiete 40, 1–57 (1977) (with R.Høegh-Krohn).
20. Energy forms, Hamiltonians and distorted Brownian paths, Journal of Mathe-matical Physics 18, no. 5, 907–917 (1977), (with R. Høegh-Krohn and L. Streit).
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21. Hunt processes and analytic potential theory on rigged Hilbert spaces, Ann.Inst. H. Poincaré (Probability Theory) B13, no. 3, 269–291 (1977), (with R.Høegh-Krohn).
22. Dirichlet forms and Markov semigroups on C∗–algebras, Commun. Math.Phys. 56, no. 2, 173–187 (1977), (with R. Høegh-Krohn).
1978
23. Remarks on the energy representation of Sobolev-Lie groups, pp.359–360 in“Group Theoretical Methods in Physics”, Proceedings Tübingen 1977, Edts. P.Kramer, A. Rieckers, Lecture Notes in Physics 79, Springer (1978), (with R.Høegh-Krohn).
24. Topics in infinite dimensional analysis, pp.279–302 in “Mathematical Problemsin Theoretical Physics”, Proceedings, Rome, 1977, Edts. G. Dell’Antonio, S.Doplicher, G. Jona-Lasinio, Lecture Notes in Physics 80, Springer (1978), (withR. Høegh-Krohn).
25. The energy representation of Sobolev-Lie groups, Compositio Mathematica 36,37–52 (1978), (with R. Høegh-Krohn).
26. Quasi-free generalized K-Flows, Rep. Math. Phys. 13, 73–85 (1978), (with G.Emch and J.P. Eckmann).
27. Frobenius theory for positive maps of von Neumann algebras, Comm. Math.Phys. 64, 83–94 (1978), (with R. Høegh-Krohn).
1979
28. The method of Dirichlet forms, pp.250–258 in “Stochastic behaviour in classicaland quantum systems”, Proceedings of the Volta Memorial Conference, Como,1977, Lecture Notes in Physics 93, Springer-Verlag, (1979), (with R. Høegh-Krohn).
29. Feynman path integrals and the corresponding method of stationary phase,pp.3–57 in Proceedings of the Marseille International Colloqium on “Mathe-matical Problems in Feyman Path Integrals”, May 1978 Edts. S. Albeverio, Ph.Combe, R. Høegh-Krohn, G. Rideau, M. Sirugue, M. Sirugue-Collin, R. Stora,Lecture Notes in Physics 106, Springer, (1979), (with R. Høegh-Krohn).
30. Singular perturbations and non-standard analysis, Trans. Am. Math. Soc. 252,275–295 (1979), (with J.E. Fenstad and R. Høegh-Krohn).
31. Stationary measures for the periodic Euler flow in two dimensions, J. Stat. Phys.20, no. 6, 585–595 (1979), (with M. De Faria and R. Høegh-Krohn).
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32. Uniqueness and the global Markov property for Euclidean fields, The case oftrigonometric interactions, Commun. Math. Phys. 68, 95–128 (1979) (with R.Høegh-Krohn).
33. Some results for the exponential interaction in two or more dimensions, (withG. Gallavotti and R. Høegh-Krohn), Comm. Math. Phys. 70, 187–192 (1979).
34. The exponential interaction in IRn, (with G. Gallavotti and R. Høegh-Krohn),Phys. Letters 83B, 177–179 (1979).
35. The global Markov property for Euclidean and lattice fields, (with R. Høegh-Krohn) Phys. Letters 84B, no. 1, 89–90 (1979)
1980
36. Regularization of processes and Hamiltonians, (with R. Høegh-Krohn and L.Streit), J. Math. Phys. 21, 1636–1642 (1980).
37. The trace formula for the Schrödinger operators, (with Ph. Blanchard, R.Høegh-Krohn), Materialien XVII, Schwerpunkt Mathematisierung, UniversitätBielefeld (1980).
38. Martingale convergence and the exponential interaction in IRn, (with R. Høegh-Krohn), pp.331–335 in “Quantum Fields-Algebras, Processes”, Proc. BielefeldInt. Colloquium, (Ed. L. Streit), Springer Verlag, Wien, 1980.
39. Uniqueness and global Markov Property for Euclidean fields and lattice Systems,(with R. Høegh-Krohn), pp.303–329 in “Quantum Fields-Algebras, Processes”,Proc. Bielefeld (Ed. L. Streit), Springer-Verlag, Wien 1980.
40. Dynamical semigroups and Markov processes onC?- algebras, (with R. Høegh-Krohn, G. Olsen), Crelle’s J. Reine und Ang. Math. 319, 25–37 (1980).
41. Ergodic actions by compact groups on C? -algebras, (with R. Høegh-Krohn),Math. Zeitschrift 17A, 1–17 (1980)
42. Stationary phase for the Feynman integral and the trace formula, (with Ph.Blanchard and R. Høegh-Krohn), pp.23–42 in “Functional Integration, Theoryand Applications”, Ed. J.P. Antoine, E. Tirapegui (Proc. Louvain), Plenum, NewYork, 1980.
43. Let us talk about the weather–A model for large scale atmospheric phenomena,(with R. Høegh-Krohn), Proc. Les Embiez 1980 Conference “Disordered Sys-tems”.
44. Some Markov processes and Markov fields in quantum theory, group theory, hy-drodynamics and C?–algebras, (with R. Høegh-Krohn) (Lectures given at the
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London Math. Soc. Symposium, Durham, July 1980), pp.497–540, in “Stocha-stic integrals”, Ed. D. Williams Lecture Notes in Mathematics 851, SpringerVerlag Berlin, 1980.
1981
45. Uniqueness of Gibbs states and global Markov property for Euclidean fields,pp. 37–64 in, Proc. Colloquium “Random fields — rigorous results in statisticalmechanics and quantum fields theory”, Esztertgom 1979, Edts. J. Fritz. J.L.Lebowitz, D. Szász, Colloquia Mathematica Societatis Janos Bolyai 27, NorthHolland (1981), (with R. Høegh-Krohn).
46. Stochastic methods in quantum theory and hydrodynamics, (with R. Høegh-Krohn) (Lectures given at les Houches Workshop Stochastic Equations andPhysics, June 1980), pp.193–214 in “New Stochastic Methods in Physics”, Ed.C. De Witt-Morette, K.D. Elworthy, Physics Reports 77 (1981)
47. The global Markov property for lattice fields, (with R. Høegh-Krohn and G.Olsen), J. Multiv. Anal. 11, 599–607 (1981).
48. Point interactions as limits of short range interactions, (with R. Høegh-Krohn),J. Oper. Th. 6, 313–339 (1981).
49. Irreducibility and reducibility for the energy representation of the group of map-pings of a Riemannian manifold into a compact semisimple Lie group, (with R.Høegh-Krohn and D. Testard), J. Funct. Anal. 41, 378–396 (1981).
50. A class of exactly solvable three-body quantum mechanical problems and theuniversal low energy behavior, (with R. Høegh-Krohn and T.T. Wu), PhysicsLetts. 83A, 105–109 (1981).
51. Capacity and quantum mechanical tunneling, (with M. Fukushima, W. Kar-wowski and L. Streit), Commun. Math. Phys. 80, 301–342 (1981).
52. On the universal low energy limit in non relativistic scattering theory, (withF. Gesztesy and R. Høegh-Krohn), Acta Phys. Austr. Suppl., Schladming Proc.1981, XXIII, 577–585 (1981).
53. Feynman path integrals, the Poisson formula and the theta function for theSchrödinger operators, (with P. Blanchard, R. Høegh-Krohn), pp. 1–21 inTrends in applications of pure mathematics to mechanics, Vol. III, (Proc. HeriotWatt Symp. Edinburgh, 1979), Monogr. Stud. Math. 11, Pitman, Boston, MAR.J. Knops, ed. (1981)
54. Some Markov processes and Markov fields in quanum theory, group theory hy-drodynamics and C∗-algebras, (with R. Høegh-Krohn), pp. 497–540 in Sto-chastic integrals (Proc. Sympos., Durham, 1980), Lecture Notes in Math. 851,Springer, Berlin (1981)
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1982
55. Some applications of functional integration, pp.265–275 in “MathematicalProblems in Theoretical Physics”, Proc. Int. AMP Conf., Berlin 1981, Ed. R.Schrader, R. Seiler, D.A. Uhlenbrock, Lect.Notes in Phys. 15, Springer (1982)(with Ph. Blanchard, R. Høegh-Krohn).
56. Feynman path integrals and the trace formula for Schrödinger operators, (withPh. Blanchard and R. Høegh-Krohn), Commun. Math. Phys. 83, 49–76 (1982).
57. The low energy expansion in non relativistic scattering theory, (with F. Gesztesyand R. Høegh-Krohn) Ann. Inst. H. Poincaré A37, 1–28 (1982).
58. Some remarks on Dirichlet forms and their applications to quantum mechanics,120–132 in Proc. Katata Workshop and Kyoto Conf., “Functional Analysis inMarkov Processes”, Ed. M. Fukushima, Lect. Notes in Math. 923, Springer 1982(with R. Høegh- Krohn).
59. Diffusion, quantum fields and groups of mappings, pp.133–145 in Proc. KatataWorkshop and Kyoto Conf., Functional Analysis in Markov Processes, Ed. M.Fukushima, Lect. Notes in Maths. 923, Springer 1982 (with R. Høegh-Krohn).
60. The spectrum of the three-dimensional Kronig Penney model with random pointdefects, Adv. Appl. Math. 3, 435–440 (1982) (with R. Høegh-Krohn, W. Kirsch,F. Martinelli).
1983
61. Processus de diffusion, confinement et formation de jet streams dans la nébuleuseprotosolaire, CERN- Preprint 1983. Proc. Encontro de Fisica e Matematica,Coimbra 1982 (with Ph. Blanchard, R. Høegh-Krohn).
62. Factorial representations of path groups, J. Funct. Anal. 51, 115–131 (1983)(with R. Høegh-Krohn, D. Testard, A. Vershik).
63. Charged particles with short range interactions, Ann. Inst. H. Poincaré A38,303–333 (1983) (with F. Gesztesy, R. Høegh-Krohn, L. Streit).
64. Local relativistic invariant flow for quantum fields, Commun. Math. Phys. 90,329–351 (1983) (with Ph. Blanchard, Ph. Combe, R. Høegh-Krohn, M. Sirugue).
65. Remarks on the independence of the free energy from crystalline boundary condi-tions in the two-dimensional one-component plasma, J. Stat. Phys. 31, 389–407(1983) (with D. Dürr, D. Merlini).
66. A stochastic model for the orbits of planets and satellites — The Titius-Bode law,(with Ph. Blanchard, R. Høegh-Krohn), Exp. Math. 4, 365–373 (1983).
67. Low-energy parameters in nonrelativistic scattering theory, Ann. of Phys. 148,308–326 (1983). (with D. Bollé, F. Gesztesy, R. Høegh-Krohn, L. Streit),
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1984
68. Local and global Markov fields, Lectures given at the Karpacz Winter School1978, Rep. Math. Phys. 19, 225–248 (1984), (with R. Høegh-Krohn).
69. Schrödinger operators with point interactions and short range expansions,pp.11–28 in “Mathematical Physics VII”, Proc. VIIth. Int. Congress on Math-ematical Physics, Boulder, 1983, Edts. W.E. Brittin, K.E. Gustafson, W. Wyss,Physica 124A (1984) (with R. Høegh-Krohn).
70. Some exactly solvable models in quantum mechanics and the low energy expan-sions, (with F. Gesztesy, R. Høegh-Krohn, H. Holden), pp.12–28 in “Procedingsof the Second International Conference on Operator Algebras, Ideals and theirApplications in Theoretical Physics”, Leipzig 1983, Ed. H. Baumgärtel, G. Lass-ner, A. Pietsch, A. Uhlmann, Teubner, 1984.
71. Quantum mechanical low energy scattering in terms of diffusion processes,(with Ph. Blanchard, F. Gesztesy, L. Streit), pp.207–227 in “Stochastic Aspectsof Classical and Quantum Systems”, Proc. II. France – Germany EncountersMathematics-Physics, Marseille 1983, Lect. Notes Maths. 1109, Springer Berlin1984, Edts. S. Albeverio, Ph. Combe, M. Sirugue-Collin.
72. Perturbation of resonances in quantum mechanics, (with R. Høegh-Krohn), J.Math. Anal. Appl. 101, 491–513 (1984).
73. Diffusion Fields, Quantum Fields and Fields with Values in Groups, pp.1–98,“Stochastic Analysis and Applications”, Adv. in Probability, Edt. M. Pinsky, M.Dekker, New York (1984) (with R. Høegh-Krohn).
74. Model dependence of Coulomb corrected scattering lengths, Phys. Rev. C29,680–683 (1984) (with L.S. Ferreira, F. Gesztesy, R. Høegh-Krohn, L. Streit).
75. On point interactions in one dimension, (with F. Gesztesy, R. Høegh-Krohn, W.Kirsch), J. Oper. Theory 12, 101–126 (1984); Err. 13, 419 (1985).
76. Scattering by impurities in a solvable model of a 3–dimensional crystal, (withR. Høegh-Krohn, M. Mebkhout), J. Math. Phys. 25, 1327–1334 (1984).
77. Perturbations of the Laplacian supported by null sets, with applications to poly-mer measures and quantum fields, (with J.E. Fenstad, R. Høegh-Krohn, W. Kar-wowski, T. Lindstrøm), Phys. Letts. A104, 396–400 (1984).
78. Non standard analysis; polymer models, quantum fields, pp.233–254 in Proc.Schladming ’84, 23. Internat. Universitätswochen für Kernphysik Acta Phys.Suppl.XXVI (1984):“Stochastic Methods and Computer Techniques in QuantumDynamics”, Edts. H. Mitter, L. Pittner.
79. Markov cosurfaces and gauge fields, (with R. Høegh-Krohn, H. Holden),pp.211–231 in Proc. Schladming 84, 23. Intern. Universitätswochen für Kern-physik, Acta Phys. Austr. Suppl. XXVI (1984): “Stochastic Methods and Com-puter Techniques in Quantum Dynamics, Edts. H. Mitter, L. Pittner.
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80. Factoriality of representations of the group of paths of SU(n), (with R. Høegh-Krohn, D. Testard), J. Funct. Anal. 57, 49–55 (1984).
81. The resonance expansion for the Green s function of the Schrödinger and waveequations, (with R. Høegh-Krohn), pp.105–127 in “Resonances-Models andPhenomena”, Lect. Notes Physics 211, Springer Verlag (1984), Edts. S. Albeve-rio, L.S. Ferreira, L. Streit.
82. Newtonian diffusions and planets, with a remark on non-standard Dirichletforms and polymers pp.1–24, in “Stochastic Analysis and Applications”, Proc.Swansea 1983, Edts. A. Truman, D. Williams, Lect. Notes Math. 1095, Springer,Berlin (1984).
1985
83. Reduction of nonlinear problems to Schrödinger heat equations: formation ofKepler orbits, singular solutions for hydrodynamical equations, pp.189–206 in“Stochastic Aspects of Classical and Quantum Systems”, Proc. Marseille 1983,(Ed. S. Albeverio, Ph. Combe, M. Sirugue-Collin), (with Ph. Blanchard, R.Høegh-Krohn), Lect. Notes Maths. 1109, Springer , Berlin (1985).
84. The relation between quantum mechanics and classical mechanics: a survey ofsome mathematical aspects, pp.37–76 in “Chaotic behavior in Quantum Sys-tems, Theory and Applications”, (Proc. Como 1983) Ed. G. Casati, PlenumPress, New York (1985), (with T. Arede).
85. A remark on dynamical semigroups in terms of diffusion processes, (with R.Høegh-Krohn), pp.40–45 in Proc. Heidelberg 1984 Conf. “Quantum Probabilityand Applications”, Ed. L. Accardi, W. von Waldenfels, Lect. Notes Maths. 1136,Springer (1985).
86. Trapping in stochastic mechanics and applications to covers of clouds and radi-ation belts, pp.24–39 in “Quantum probability and Applications”, Proc. Heidel-berg 1984, Ed. L. Accardi, W. von Waldenfels, Lect. Notes Mathematics 1136(1985), (with Ph. Blanchard, Ph. Rodriguez, M. Sirugue, M. Sirugue-Collin).
87. On the connection between Schrödinger– and Dirichlet forms, (with F. Gesztesy,W. Karwowski, L. Streit), J. Math. Phys. 26, 2546–2553 (1985).
88. Euler flows, associated generalized random fields and Coulomb systems, (withR. Høegh-Krohn, D. Merlini), pp.216–244 in “Infinite dimensional analysis andstochastic processes”, Edt. S. Albeverio, Res. Notes in Maths. 124, Pitman,Boston-London (1985).
89. Markov processes on infinite dimensional spaces, Markov fields and Markov co-surfaces, (with R. Høegh-Krohn, H. Holden), pp.11–40 in “Stochastic Space-Time Models and Limit Theorems”, Ed. L. Arnold, P. Kotelenez, D. Reidel,Dordrecht (1985).
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90. Diffusions sur un variété Riemannienne: barrières infranchissables et applica-tions, pp.181–201, Astérisque 132 (1985): Colloque en l’Honneur de LaurentSchwartz, Vol.2, (with Ph. Blanchard, R. Høegh-Krohn).
91. Capacity, Green’s functions and Schrödinger equation, (with W. Karwowski, M.Röckner, L. Streit), pp.197–215 in “Infinite dimensional analysis and stochasticprocesses”, Edt. S. Albeverio, Pitman Res. Notes Maths. 124 (1985), Boston-London.
92. Quantum mechanical low energy scattering in terms of diffusion processes, (withPh. Blanchard, F. Gesztesy, L. Streit), pp. 207–227 in Stochastic aspects ofclassical and quantum systems, (Marseille, 1983), Lecture Notes in Math. 1109,Springer, Berlin (1985)
1986
93. Some points of interaction between stochastic analysis and quantum theory,pp.1–26 in “Stochastic Differential Systems”, Proc. Bad Honnef Conference1985, Ed. N. Christopeit, K. Helmes, M. Kohlmann, Lect. Notes Control In-form. Sciences 78, Springer, Berlin (1986).
94. Brownian motion, Markov cosurfaces, Higgs fields, (with R. Høegh-Krohn), pp.95–104 in “Fundamental Aspects of Quantum Theory”, Proc. Como. Conf. 1985,Ed. V. Gorini, A. Frigerio, Plenum Publ., New York (1986).
95. The Schrödinger operator for a particle in a solid with deterministic and stocha-stic point interactions, pp.1–38 in “Schrödinger operators”: Procedings, Aarhus1985, Ed. E. Balslev, Lect. Notes in Mathematics 1218, Springer, Berlin (1986).
96. Random fields with values in Lie groups and Higgs fields, pp. 1–13 in “Stocha-stic Processes in Classical and Quantum Systems”, Procedings, Ascona 1985,Edts. S. Albeverio, G. Casati, D. Merlini, Lect. Notes in Physics 262, Springer,Berlin (1986), (with R. Høegh-Krohn, H. Holden).
97. Convergence of Dirichlet forms and associated Schrödinger operators, (with S.Kusuoka, L. Streit), J. Funct. Anal. 68, 130–148 (1986).
98. Non standard methods in stochastic analysis and mathematical physics, Aca-demic Press (1986) (with J.E. Fenstad, R. Høegh-Krohn, T. Lindstrøm) (transla-tion into Russian by A.V. Svonskin, M.A. Shubin, Mir, Moscow (1990))
99. Stochastic Lie group-valued measures and their relation to stochastic curve in-tegrals, gauge fields and Markov cosurfaces, pp.1–24 in “Stochastic Processesin Mathematics and Physics”, Proc. BiBoS I, Edts. S. Albeverio, Ph. Blanchard,L. Streit, Lect. Notes Maths. 1158 (with R. Høegh-Krohn, H. Holden), Springer(1986).
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100. Some recent developments and applications of path integrals, pp.3–32 in Proc.Bielefeld Conference “Path Integrals from me V to Me V”, Ed. M.C. Gutzwiller,A. Inomata, J.R. Klauder, L. Streit, World Scientific, Singapore (1986).
101. Non standards analysis: applications to probability theory and mathematicalphysics, pp.1–49 in “Mathematics and Physics”, Lectures on Recent Results,Vol. 2, Ed. L. Streit, World Scient., Singapore (1986).
102. Path space measure for the Liouville quantum field theory and the constructionof relativistic strings, Phys. Letts. B 174, 81–86 (1986), (with R. Høegh-Krohn,S. Paycha, S. Scarlatti).
103. Euclidean Markov fields and relativistic quantum fields from stochastic partialdifferential equations in four dimensions, (with R. Høegh-Krohn), Phys. Letts.B177, 175–179 (1986).
1987
104. An introduction to non-standard analysis and applications to quantum theory,pp.183–208 in “Information Complexity and Control in Quantum Physics”,Proc. 4th Int. Sem. Math. Theory of Dynamical Systems and Micro physics,CISM Udine 1985, Edts. A. Blaquière, S. Diner, G. Lochak, Springer, Wien(1987)
105. Some personal remarks on nonstandard analysis in probability theory and math-ematical physics, pp. 409–420 in Proc. VIII-International Congress on Mathe-matical Physics, Marseille 1986, Edts. M. Mebkhout, R. Sénéor, World Scient.(1987).
106. Quaternionic non abelian relativistic quantum fields in four space-time dimen-sions, (with R. Høegh-Krohn), Phys. Letts. B 189, no. 3, 329–336 (1987)
107. Point interactions in two dimensions: basic properties, approximations and ap-plications to solid state physics, (with F. Gesztesy, R. Høegh-Krohn, H. Holden),J. reine angew. Math. 380, 87–107 (1987)
108. Some recent interactions between mathematics and physics in connection withgeneralized random fields, pp. 455–472, (with R. Høegh-Krohn), in Proc. 1stWorld Congress of the Bernouilli Society, Edts. Yu. Prokhorov, V.V. Sazonov,Vol. 1 Probability Theory and Applications, Tashkent 1986, VNU–SciencePress, Utrecht (1987)
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1988
109. Applications of nonstandard analysis in mathematical physics, pp. 182–220 in“Nonstandard Analysis and its Applications”, Ed. N. Cutland, Cambridge Univ.Press (1988).
110. Stochastic multiplicative measures, generalized Markov semigroups and groupvalued stochastic processes and fields, (with R. Høegh-Krohn, H. Holden), J.Funct. Anal. 78, no. 1, 154–184 (1988)
111. Solvable models in quantum mechanics, (with F. Gesztesy, R. Høegh-Krohn,H. Holden), Springer Verlag, Berlin (1988) (translation into Russian by Yu.A.Kuperin, K.A. Makarov, V.A. Geilerk, Mir, Moscow 1990)
112. Construction of interacting local relativistic quantum fields in four space-timedimensions, (with R. Høegh-Krohn), Phys. Letts. B 200, no. 1-2, 108–114(1988), Err. Phys. Letts. B 202 620 (1988)
113. Una breve introduzione all’analisi non standard e alle sue applicazioni, Proc.Cevio Meeting, Note di Matematica e Fisica, CERFIM, Ticino Anno 10, Vol 1,1–15 (1988).
114. Alcune osservazioni sulla componente estetica della matematica, Bollettino deiDocenti di Matematica, DPE, Bellinzona 17, 1–10 (1988)
1989
115. De l’ordre dans le désordre — ou le hasard apprivoisé, Note di Matematica eFisica, CERFIM 1, 34–65 (1989) (with Ph. Blanchard, Ph. Combe)
116. Representation and construction of multiplicative noise, (with R. Høegh-Krohn,H. Holden, T. Kolsrud), J. Funct. Anal. 87, no. 2, 250–272 (1989)
117. A remark on the formation of crystals at zero temperature, (with R. Høegh-Krohn, H. Holden, T. Kolsrud, M. Mebkhout), pp. 221–220 in “Stochastic Meth-ods in Mathematics and Physics”, Proceedings of the Karpacz Winter School“Theoretical Physics” 1988, Edts. R. Gielerak, W. Karwowski, World Scient.,Singapore (1989)
118. A covariant Feynman–Kac formula for unitary bundles over Euclidean space,(with R. Høegh-Krohn, H. Holden, T. Kolsrud), pp. 1-12 in Proc. Trento Con-ference “Stochastic Partial Differential Equations and Applications II”, Edts. G.Da Prato, L. Tubaro, Lect. Notes Maths., 1390 Springer (1989).
119. Stochastic flows with stationary distribution for two-dimensional inviscid fluids,(with R. Høegh-Krohn), Stoch. Proc. Appl.31, 1–31 (1989).
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120. Uniqueness and global Markov property for Euclidean fields: The case of gen-eral polynomial interactions, (with R. Høegh-Krohn, B. Zegarlinski), Commun.Math. Phys. 123, no. 3, 377–424 (1989)
121. Uniqueness of Gibbs states for general P (ϕ)2−weak coupling models by clusterexpansion, (with R. Høegh-Krohn, B. Zegarlinski), Commun. Math. Phys. 121,no. 4, 683–697 (1989)
122. Dirichlet forms, quantum fields and stochastic quantisation, (with M. Röckner),pp.1–21 in “Stochastic Analysis, path integration and dynamics”, Emanationsfrom “Summer Stochastics”, Warwick 1987, Edts. D. Elworthy, J. C. Zambrini,Pitman Res. Notes, Longman, Harlow (1989).
123. Strata and voids in galactic structures—A probabilistic approach, BiBoS-Preprint (1989), (with Ph. Blanchard, R. Høegh-Krohn, M. Mebkhout).
124. The vacuum of the Høegh-Krohn model as a generalized white noise functional,(with T. Hida, J. Potthof, L. Streit), Phys. Letts B 217, no. 4, 511 - 514 (1989)
125. Nowhere Radon smooth measures, perturbations of Dirichlet forms and singu-lar quadratic forms, (with Zhiming Ma), pp. 3-45 in Proc. Bad Honnef Conf.1988 “Stochastic Systems”, Edts. N. Christopeit, K. Helmes, M. Kohlmann Lect.Notes Control and Inform. Sciences 126, Springer, (Berlin 1989).
126. Classical Dirichlet forms on topological vector spaces – the construction of theassociated diffusion process, (with M. Röckner), Prob. Theory and Rel. Fields,83, no. 3, 405-434 (1989)
127. A short overview of mathematical approaches to functional integration, (with S.Paycha, S. Scarlatti), pp. 230-276 in Proc. Karpacz XXV Winter School, ”Func-tional integration, Geometry and Strings”, Edt. Z. Haba, J. Sobczyk, Birkhäuser,Basel (1989)
128. Some remarks on stochastically perturbed (Hamiltonian) systems, (with A.Hilbert), pp. 1-18 in “New Methods and Results in Nonlinear Field Equations”,Proc. Bielefeld Conf., Edts. Ph. Blanchard, J. P. Diaz, J. Stubbe, Lect. NotesPhys. 347, Springer, Berlin (1989).
129. Covariant Markovian random fields in four space-time dimensions with nonlin-ear electromagnetic interaction, (with R. Høegh-Krohn, K. Iwata), pp.69–83 in“Applications of Self-Adjoint Extensions in Quantum Physics”, in Proc. DubnaConf. 1987, Edts. P. Exner, P. Seba, Lec. Notes in Physics 324, Springer, Berlin(1989)
130. Point interaction Hamiltonians for crystals with random defects, pp.87–99 in“Applications of Self-Adjoint Extensions Quantum Physics” Proc. Dubna Conf.87, Edts. P. Exner, P. Seba, Lect. Notes in Physics 324, Springer, Berlin (1989)(with R. Figari, F. Gesztesy, R. Høegh-Krohn, H. Holden, W. Kirsch).
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131. Construction of quantised Higgs-like fields in two dimensions, (with R. Høegh-Krohn, H. Holden, T. Kolsrud), Phys. Letts. B 222, no. 2, 263–268 (1989)
132. On Dirichlet forms on topological vector spaces: Existence and maximality,(with M. Röckner), pp. 14-31 in Proc. Bad Honnef ‘88 Conf. “Stochastic dif-ferential systems”, Edts. N. Christopeit, K. Helmes, M. Kohlmann, Lect. NotesInform. Control 126, Springer Verlag (1989)
133. Some new developments concerning Dirichlet forms, Markov fields and quantumfields, pp.250–259 in “IXth International Congress on Mathematical Physics”,July 1988, Swansea ‘88, Edts., B. Simon, A. Truman, I.M. Davis, Adam Hilger,Bristol and New York (1989)
134. An inverse problem for stochastic differential equations, (with Ph. Blanchard, S.Kusuoka, L. Streit), J. Stat. Phys. 57, no. 1-2, 347-356 (1989).
135. Dirichlet forms and generalized Schrödinger operators, (with J. Brasche, M.Röckner), pp. 1-42 in Proc. Sønderborg Conf. “Schrödinger operators”, Edts. H.Holden, A. Jensen, Lect. Notes Phys. 345, Springer, Berlin (1989)
136. Some results on Newton equation with an additional stochastic force (with A.Hilbert), pp. 1-13 in Proc. Bad Honnef Conference “Stochastic Systems”, Edts.N. Christopeit, K. Helmes, M. Kohlmann, Lect. Notes Control and Inform. 126,Springer, Berlin (1989).
137. A probability measure for random surfaces of arbitrary genus and bosonicstrings in 4 dimensions, (with R. Høegh-Krohn, S. Paycha, S. Scarlatti), Nucl.Phys. B (Proc. Suppl.), 6, 180-182 (1989) (Proc. Eugene Wigner Symposiumon Space - Time Symmetries, Washington 1988).
138. Euclidean quantum mechanics: analytic appproach, (with K. Yasue, J.C. Zam-brini), Ann. Inst. H. Poincaré Phys. Theor. 50, no. 3, 259-308 (1989)
139. Una breve introduzione a diffusioni su insieme frattali e ad alcuni esempi disistemi dinamici semplici, 1-39 in Note di Matematica e Fisica, CERFIM, Anno20, Vol 3, “Gli oggetti frattali in astrofisica, biologia, fisica e matematica”, (withD. Merlini, R. Tartini). (1989)
140. Dirichlet forms in terms of white noise analysis. I. Construction and QFT exam-ples, (with T. Hida, J. Potthoff, M. Röckner, L. Streit), Rev. Math. Phys. 1, no.2-3, 291-312 (1989)
141. Dirichlet forms in terms of white noise analysis. II. Closability and diffusionprocesses, (with T. Hida, J. Potthoff, M. Röckner, L. Streit), Rev. Math. Phys. 1,no. 2-3, 313-323 (1989)
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1990
142. On partial integration in infinite dimensional space and applications to Dirichletforms, (with S. Kusuoka, M. Röckner), J. London Math. Soc. (2) 42, no. 1, 122–136 (1990)
143. Global flows with invariant (Gibbs) measures for Euler and Navier–Stokes twodimensional fluids, (with A.B. Cruzeiro), Commun. Math. Phys. 129, no. 3,431–444 (1990)
144. Classical Dirichlet forms on topological vector spaces—closability and aCameron–Martin formula, (with M. Röckner), J. Funct. Anal., 88, no. 2, 395-436 (1990)
145. Infinite dimensional diffusions connected with positive generalized white noisefunctionals, (with M. Röckner), pp. 1–21 in “White Noise Analysis”, Ed. T.Hida, H. H. Kuo, J. Potthoff, L. Streit World Scient., Singapore (1990)
146. Some stochastic techniques in quantization, new developments in Markov fieldsand quantum fields, (with B. Zegarlinski), pp. 1–19 in “Probabilistic Methodsin Quantum Field Theory and Quantum Gravity”, Proc. Cargèse 89, Edts. P.H.Damgaard, H. Hüffel, A. Rosenblum, Plenum Press New York (1990)
147. Some remarks on classical, quantum and stochastic dynamical systems, (withT. Arede, A. Hilbert), pp. 1–26 in Dynamics and Stochastic Processes, Proc.Lisboa 1988, Ed. R. Lima, L. Streit, R. Vilela Mendes, Lect. Notes Phys. 355,Springer, Berlin (1990)
148. Dirichlet forms and Markov fields – A report on recent developments, (with Z.M.Ma, M. Röckner), pp. 325–347 in Proc. Evanston Conference, Ed. M. Pinsky,“Diffusion Processes and Related Problems in Analysis, Vol. I”, Birkhäuser,New York (1990)
149. On left invariant Brownian motion and heat kernels of nilpotent Lie groups, (withT. Arede, Z. Haba), J. Math. Phys. 31, no. 2, 278–286 (1990)
150. New developments in theory and applications of Dirichlet forms, (with M. Röck-ner), pp. 27–76 in “Stochastic Processes, Physics and Geometry”, Proc. 2nd Int.Conf. Ascona - Locarno - Como 1988, Ed. S. Albeverio, G. Casati, U. Cattaneo,D. Merlini, R. Moresi, World Scient. (1990).
151. Remarks on non linear filtering problems: White Noise representation andasymptotic expansions, (with T. Arede, M. De Faria), pp. 77–86 in Proc.Ascona–Locarno Conference, “Stochastic Processes, Geometry and Physics”,Edts. S. Albeverio, G. Casati, U. Cattaneo, D. Merlini, R. Moresi, World Scien-tific, Singapore (1990)
152. Random fields as solutions of the inhomogeneous quaternionic Cauchy-Riemannequation I. Invariance and Analytic Continuation, (with K. Iwata, T. Kolsrud),Commun. Math. Phys. 132, no. 3, 555–580 (1990)
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153. Construction of convergent simplicial approximations of quantum fields on Rie-mannian manifolds, (with B. Zegarlinski), Commun. Math. Phys. 132, no. 1,39–71 (1990)
1991
154. Diffusion processes with singular Dirichlet forms, (with Z.M Ma), pp. 11–28 in“Stochastic Analysis and Applications”, Proc. Lisboa Conf., Ed. A.D. Cruzeiro,J.C. Zambrini, Birkhäuser, New York (1991)
155. A note on quasicontinuous kernels representing quasi- linear positive maps,(with Z.M. Ma), Forum Math. 3, no. 4, 389–400 (1991)
156. Stochastic differential equations in infinite dimension: solutions via Dirichletforms, (with M. Röckner), Prob. Th. Rel. Fields 89, no. 3, 347–386 (1991)
157. Perturbation of Dirichlet forms - lower semiboundedness, closability and formcores, (with Z.M. Ma), J. Funct. Anal. 99, no. 2, 332–356 (1991)
158. Necessary and sufficient conditions for the existence of m-perfect processes as-sociated with Dirichlet forms, (with Z.M. Ma), pp. 374–406 in Sém. Prob. XXVLect. Notes Maths. 1485, Edts. J. Azéma, P. A. Meyer, M. Yor, Springer, Berlin(1991)
159. Conformally invariant random fields and processes – Old and New, (with K.Iwata, T. Kolsrud), pp. 1–14 in Proc. Lisboa Conf. “Stochastic Analysis andApplications”, Ed. A.B. Cruzeiro, J.C. Zambrini, Birkhäuser, New York (1991)
160. Conformally invariant and reflection positive random fields in two dimensions,pp. 1–14 in Stochastic analysis, In Honor of Moshe Zakai, Edts. E. Mayer–Wolf,E. Merzbach, A. Shwartz, Academic Press New York (1991) (with K. Iwata, T.Kolsrud)
161. Diffusion on p–adic numbers, (with W. Karwowski), pp. 86–99 in Proc. ThirdNagoya Lévy Seminar, Gaussian Random Fields, Ed. K. Itô, T. Hida, WorldScient., Singapore (1991)
162. Wave chaos in quantum systems with point interaction, (with P. Seba), J. Stat.Phys. 64, no. 1-2, 369–383 (1991)
163. Feynman–Kac semigroups in terms of signed smooth measures, (with Ph. Blan-chard, Z.M. Ma), pp. 1–31 in Proc. Oberwolfach Meeting “Random PartialDifferential Equation”, Edts. Hornung and Kotelenez, Birkhäuser (1991)
164. Capacities on Wiener space: tightness and invariance, (with M. Fukushima, W.Hansen, Z.M. Ma, M. Röckner) C. R. Acad. Sci. Paris Ser. I Math. 312, no. 12,931–935 (1991)
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165. A model of four space–time dimensional gauge fields: reflection positivity forassociated random currents, pp 257–269 in: Proceedings of the Liblice Confer-ence on “Rigorous Results in Quantum Dynamics”, June 1990, Edts. J. Dittrich,P. Exner, World Scientific Singapore, 1991 (with K. Iwata, T. Kolsrud)
1992
166. Homogeneous Markov generalized vector fields and quantum fields over 4-dimensional space-time (with K. Iwata, T. Kolsrud), pp. 1–18 in “Stochasticpartial differential equations and applications”, Proc. Trento Conf. StochasticPartial Differential Equations, Ed. G. Da Prato, L. Tubaro (1991), Pitman Res.Notes 268, Longman (1992)
167. Rigorous approach to abelian Chern–Simons theory, pp. 143–152 in “Groupsand Related Topics”, Proc. First Max Born Symposium, Wroctaw 1991, Edt. R.Gielerak, J. Lukierski, Z. Popowicz, Kluwer, Dordrecht (1992) (with J. Schäfer)
168. Regularization of Dirichlet spaces and applications, (with Z.M. Ma, M. Röck-ner) C. R. Acad. Sci. Paris Ser. I Math. 314, no. 11, 859–864 (1992)
169. Infinite dimensional oscillatory integrals: finite dimensional approach and someapplications, (with Z. Brzezniak), pp. 30–49 in ”Probabilistic Methods in Math-ematical Physics”, Proc. Siena Conf., Edts. F. Guerra, M. Loffredo, C. Mar-chioro, World Scient., Singapore (1992)
170. An approximate criterium for essential self-adjointness of Dirichlet operators,(with Yu. Kondratjev, M. Röckner), Pot. Anal. 1, no. 3, 307–317 (1992)
171. Non symmetric Dirichlet forms and Markov processes on general state space,(with Z.M. Ma, M. Röckner), C.R. Acad. Sci. Paris Ser. I Math. 314, no. 1,77–82 (1992)
172. A convergent lattice approximation for non–linear electromagnetic fields in fourdimensions (with K. Iwata, M. Schmidt), J. Math. Phys. 34, 3327–3342 (1992)
173. Schrödinger operators with potentials supported by sets, (with J.E. Fenstad, R.Høegh-Krohn, W. Karwowski, T. Lindstrøm), pp. 63–95 in R. Høegh-Krohn’sMemorial Volume “Ideas and Methods in Mathematical Analysis, Stochasticsand Applications”, Vol. 1, Edts. S. Albeverio, J. E. Fenstad, H. Holden, T.Lindstrøm, Cambridge University Press (1992)
174. Ferromagneticity of simplicial fields on two dimensional compact manifolds,(with E.G.B. Hohler, B. Zegarlinski), J. Math. Phys. 33, no. 8, 2808–2818(1992)
175. Global Markov property in quantum field theory and statistical mechanics: areview on results and problems, (with B.Zegarlinski), pp. 331–369 in R. Høegh-Krohn’s Memorial Volume “Ideas and Methods in Quantum and StatisticalPhysics”, Vol. 2, Edts. S. Albeverio, J.E. Fenstad, H. Holden, T. Lindstrøm,Cambridge University Press (1992)
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176. A Beurling–Deny structure theorem for Dirichlet forms on general state space,(with Z.M. Ma, M. Röckner), pp. 115–123 in R. Høegh-Krohn’s Memorial Vol-ume, On the Scientific Work of Raphael Høegh-Krohn, pp. in “Ideas and Meth-ods in Mathematical Analysis, Stochastics, and Applications”, Vol. 1, Edts. S.Albeverio, J.E. Fenstad, H. Holden, T. Lindstrøm, Cambridge University Press(1992)
177. Rigorous results for the free energy in the Hopfield model, (with B. Tirozzi, B.Zegarlinski), Commun. Math. Phys. 150, no. 2, 337–373 (1992)
178. An invariance result for capacities on Wiener space, (with M. Fukushima, W.Hansen, Z.M. Ma., M. Röckner), J. Funct. Anal. 106, no. 1, 35–49 (1992)
179. Characterization of Dirichlet forms associated with Hunt processes, (with Z.M.Ma), pp. 1–25 in “Stochastics and Quantum Mechanics”, Proc. Swansea Conf.Stochastic Analysis, Ed. A. Truman, I.M. Davies, World Scientific, Singapore(1992)
180. Hamiltonian systems with a stochastic force : nonlinear versus linear, and aGirsanov formula, (with A. Hilbert, E. Zehnder), Stochastics and Stoch. Reports39, no. 2-3, 159–188 (1992)
181. Some Euclidean integer–valued random fields with Markov properties, (with R.Høegh-Krohn, D. Surgailis), pp. 93–114 in R. Høegh-Krohn’s Memorial Vol-ume “Mathematical Analysis, Stochastics, and Applications”, Vol. 1, Edts. S.Albeverio, J.E. Fenstad, H. Holden, T. Lindstrøm, Cambridge University Press(1992)
182. A general correspondence between Dirichlet forms and right processes, (withZ.M. Ma), Bull. Am. Math. Soc. 26, no. 2, 245–252 (1992)
183. A global and stochastic analysis approach to bosonic strings and associatedquantum fields, (with R. Høegh-Krohn, S. Paycha, S. Scarlatti), Acta Applic.Math. 26, no. 2, 106–195 (1992)
184. Additive functionals, nowhere Radon and Kato class smooth measure associatedwith Dirichlet forms, (with Z.M. Ma), Osaka Math J. 29, no. 2, 247–265 (1992)
185. Morphology and classification of galaxies. A stochastic model, (with Ph. Blan-chard, D. Gandolfo, R. Høegh-Krohn, M. Mekbhout), pp. 447–460 in “Ideas andMethods in Quantum and Statistical Physics”, Ed. S. Albeverio, J.E. Fenstad, H.Holden, T. Lindstrøm, Cambridge University Press (1992)
186. Random parallel transport on surfaces of finite type, and relations to homotopy,(with K. Iwata, F. Kolsrud), pp. 50–57 in Probabilistic Methods in Mathemati-cal Physics, Edts. F. Guerra, M.I. Loffredo, C. Marchioro, Proc. Siena, WorldScientific, Singapore (1992)
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187. Maximality of infinite dimensional Dirichlet forms and R. Høegh-Krohn‘s modelof quantum fields, (with S. Kusuoka), pp. 301–330 in R. Høegh-Krohn’s Memo-rial Volume “Ideas and methods in Quantum and Statistical Physics”, Vol. 2,Edts. S. Albeverio, J.E. Fenstad, H. Holden, T. Lindstrøm, Cambridge Univer-sity Press (1992)
188. On the scientific work of Raphael Høegh-Krohn, pp. 15–92 in S. Albeverio, J.E. Fenstad, H. Holden, T. Lindstrøm, eds., Ideas and Methods in MathematicalAnalysis, Stochastics, and Applications, Cambridge University Press (1992)
1993
189. Comments on a recent note on the Schrödinger equation with a δ′-interaction byB.H. Zhao, (with F. Gesztesy, H. Holden) J. Phys. A. 26, no. 15, 3903–3905(1993)
190. Stationary solutions of stochastic parabolic and hyperbolic Sine-Gordon equa-tions, (with Z. Haba, F. Russo), J. Phys. A 26 , no. 16, L711–L718 (1993)
191. Girsanov transform of symmetric diffusion processes in infinite dimensionalspace, (with M. Röckner, T.S. Zhang), Ann. of Prob. 21, no. 2, 961–978 (1993)
192. Local property of Dirichlet forms and diffusions on general state spaces, (withZ.M. Ma, M. Röckner) Math. Ann. 296, no. 4, 677–686 (1993)
193. Mathematical physics and stochastic analysis — a round table report, Proc.Round Table, St. Chéron, Jan. ’92, Bull Sci. Math. 117, no. 1, 125–152(1993)
194. Construction of a rotational invariant diffusion on the free loop spaces, (with R.Léandre, M. Röckner), C. R. Acad. Sci. Paris Ser. I Math. 316, no. 3, 287–292(1993)
195. Closability and resolvent of Dirichlet forms perturbed by jumps, (with S. Song),Pot. Anal. 2, no. 2, 115–130 (1993)
196. Quasi–regular Dirichlet forms and Markov processes (with Z.M. Ma, M. Röck-ner), J. Funct. Anal. 111, no. 1, 118–154 (1993)
197. A remark on the support of càdlàg processes (with Z.M. Ma, M. Röckner), pp.1–5 in Stochastic Processes, Kallianpur Festschrift (Edts. S. Cambanis, J. K.Ghosh, R. L. Karandikar, P.K. Sen), Springer, New York (1993)
198. Finite dimensional approximations approach to oscillatory integrals in infinitedimensions, (with Z. Brzezniak), J. Funct. Anal. 113, no. 1, 177–244 (1993)
199. Markov uniqueness and its applications to martingale problems, stochastic dif-ferential equation and stochastic quantization, (with M. Röckner, Tu-ShengZhang), C. R. Math. Rep. Acad. Sci. Canada 15, no. 1, 1–6 (1993)
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200. On the intersections of Wiener sausages in four dimensions, (with X. Y. Zhou),pp 9–39 in Partial Differential Equations – Models in Physics and Biology,Akademie Verlag, Math. Res. Vol 82 (1994) (Proc. Han-sur-Lesse) (Ed. G.Lumer, S. Nicaise, B. W. Schulze)
201. How to generalize white noise analysis to non–Gaussian measures, (with Yu.G.Kondratiev, L. Streit), pp. 120–130 in “Dynamics of complex and irregular sys-tems”, Edts. Ph. Blanchard, L. Streit, M. Sirugue-Collin, D. Testard, WorldScientific, Singapore (1993) Proc. Bielefeld 1991
202. Nonstandard representation of non normal traces, (with D. Guido, A. Ponosov,S. Scarlatti), pp. 1–11 in Dynamics of complex and irregular systems, Proc.Bielefeld 1991, Edts. Ph. Blanchard, L. Streit, M. Sirugue-Collin, D. Testard,World Scientific, Singapore (1993)
203. Markov uniqueness for a class of infinite dimensional Dirichlet operators, (withM. Röckner, T.S. Zhang), pp. 1–26 in “Stochastic processes and optimal con-trol”, Friedrichsroda (Thüringen) 1992, Ed. H. J. Engelbert, I. Karatzas, M.Röckner, Gordon and Breach, Yverdon 1993
204. Non commutative distributions – Unitary representation of gauge groups andalgebras, (with R. R. Høegh-Krohn, J. Marion, D. Testard, B. Torresani), M.Dekker, New York (1993)
205. On stochastic evolution equations with stochastic boundary conditions, (withYu. Rozanov), Th. Prob. Appl. 38, 1–13 (1993) (transl.)
206. Addendum to the paper: "An approximate criterium of essential selfadjointnessof Dirichlet operators", (with Y. Kondratiev, M. Röckner), Potential Anal. 2,195–198 (1993)
1994
207. Stratified structure of the universe and the Burgers equation — a probabilisticapproach, (with S. Molchanov, D. Surgailis), Prob. Th. Rel. Fields 100, no. 4,457–484 (1994)
208. Singular traces and nonstandard analysis, (with D. Guido, A. Ponosov, S.Scarlatti), pp. 3–19 in ”Advances in Analysis, Probability and MathematicalPhysics”, Kluwer, Dordrecht (Eds. S. Albeverio, W.A. Luxemburg, M. Wolff)(1994)
209. Speech recognition with extended Kohonen phonetic maps, (with N. Krüger, B.Tirozzi), Fortschritte der Akustik, DAGA 94, Dresden Eds. A. Lenk, R. Hoff-mann, Teil C, DPG, Bad Honnef (1994)
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210. Infinite dimensional diffusions, Markov fields, quantum fields and stochasticquantization, (with Yu. Kondratiev, M. Röckner), pp. 1–34 in ”Stochastic Anal-ysis and Applications in physics”, Proc. Madeira Summer School 93, Edts. A.I.Cardoso, M. De Faria, J. Potthoff, R. Sénéor, L. Streit, Kluwer, Dordrecht (1994)
211. Time–dependent propagator with point interaction, (with Z. Brzezniak, L. Da-browski), J. Phys. A. Math. Gen. 27, no. 14, 4933–4943 (1994)
212. Stochastic dynamics and stochastic quantization of classical lattice systems I:Ergodicity, (with T.V. Tsycalenko, Yu. Kondratjev), Random Operators and Sto-chastic Equations 2, no. 2, 103–139 (1994)
213. Feynman path integrals as infinite dimensional oscillatory integrals: some newdevelopments. White noise models and stochastic systems, (with Z. Brzezniak),Acta Appl. Math. 35, no. 1-2, 5–26 (1994)
214. Long time behaviour of nonlinear stochastic oscillators: the one dimensionalHamiltonian case, (with A. Klar), J. Math. Phys. 35, no. 8, 4005 – 4027 (1994)
215. A random walk on p-adics — the generator and its spectrum, (with W. Kar-wowski), Stoch. Processes Appl. 53, no. 1, 1–22 (1994)
216. Some remarks on the representation of jet groups and gauge groups, (with B.Torresani), J. Math. Phys. 35, no. 9, 4897–4908 (1994)
217. Dirichlet operators and Gibbs measures, (with Y. Kondratjev, M. Röckner), pp.1–10 in J. R. Klauder’s Festschrift, ”On Klauder’s Path: A Field Trip”, Ed. G. G.Emch, G. C. Hegerfeldt, L. Streit, World Sci. Publishing, River Edge, NJ (1994)
218. On the intersections of Wiener sausages in four dimensions, (with X.Y.Zhou),pp. 9-39 in Partial Differential Equations, Proc. Han-Sur-Lesse, Ed. G. Lumer,Akademie Verlag, Berlin 1994
1995
219. Representation of the propagator and Schwinger functions of Dirac fields interms of Brownian motions, (with Z.D. Wang), J. Math. Phys. 36, no. 10,5207–5216 (1995)
220. A remark on stochastic dynamics on the infinite dimensional torus, (with Yu.G.Kondratjev, M. Röckner), Seminar on Stochastic Analysis, Random Fields andApplications, Centro Stefano Franscini, Ascona, 1993, pp. 27–35 in ”Progressin Probability”, Vol. 36, Eds. E. Bolthausen, F. Russo, Birkhäuser, Basel, (1995)
221. Uniqueness of the stochastic dynamics for continuous spin systems on a lattice,(with Yu. Kondratiev, M. Röckner), J. Funct. Anal. 133, 10–20 (1995)
222. Stochastic anticipative calculus for functionals of a Gaussian generated randomfield, (with J.L. Wu), Stoch. and Stoch. Repts 54, no. 3-4, 317–337 (1995)
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223. The detailed dependence of solutions of Schrödinger equation on Planck’s con-stant and the trace formula, (with Z. Brzezniak), pp. 1–13 in Proc. 3. Intern.Locarno Conference “Stochastic processes — Physics and Geometry II”, Edts.S. Albeverio, U. Cattaneo, D. Merlini, World Scient., Singapore (1995)
224. Dirichlet operators semigroups in some Gibbs lattice spin systems (with A.Val.Antoniouk, A.Vic. Antoniouk, Yu.G. Kondratiev), Meth. Funct. Anal. Top. 1,no. 1, 3–27 (1995)
225. A mathematical model of abelian Chern–Simons theory, (with J. Schäfer), pp.86–95 in Proc. Locarno Conf. “Stochastic Processes – Physics and GeometryII”, Edts. S. Albeverio, U. Cattaneo, D. Merlini, World Scient., Singapore (1995)
226. BRST structures and symplectic geometry on a class of supermanifolds, (withS.M. Fei), Lett. Math. Phys. 33, no. 3, 207–219 (1995)
227. Dixmier traces and non standard analysis, (with D. Guido, A. Ponosov, S. Scar-latti), pp. 39–51 in Proc. 3. Int. Locarno Conference, “Stochastic Processes —Physics and Geometry II”, Edts. S. Albeverio, U. Cattaneo, D. Merlini, WorldScient., Singapore (1995)
228. Moments of random fields over a family of elliptic curves and modular forms,(with K. Iwata, F. Kolsrud), pp. 52–60 in Proc. Locarno Conference ’91 “Sto-chastic Processes – Physics and Geometry II” Edts. S. Albeverio, U. Cattaneo,D. Merlini, World Scientific, Singapore (1995)
229. Low temperature expansions around classical crystalline ground states, (with R.Gielerak, H. Holden, T. Kolsrud, M. Mebkhout), pp. 29–38 in Proc. LocarnoConf. 1991 “Stochastic Processes – Physics and Geometry II”, Edts. S. Albeve-rio, U. Cattaneo, D. Merlini, World Scientific, Singapore (1995)
230. Longtime behaviour of nonlinear Hamiltonian systems with a stochastic force,analytical and numerical results, (with J. Gaines, A. Klar), pp. 14–28 in Proc.Locarno Conf., “Stochastic Processes, Physics and Geometry II”, Edts. S. Al-beverio, U. Cattaneo, D. Merlini, World Scientific, Singapore (1995)
231. Abelian Chern–Simons theory and linking numbers via oscillatory integrals,(with J. Schäfer), J. Math. Phys. 36, no. 5, 2157–2169 (1995) (”Special issue onFunctional Integration”)
232. Representation of martingale additive functionals and absolute continuity of in-finite dimensional symmetric diffusions, (with R.Z. Fan), pp. 25–46, Proc. ’93Beijing Conf. ”Dirichlet forms and Stochastic Processes”, Edts. Z.M. Ma, M.Röckner, A. J. Yan, De Gruyter (1995)
233. Dirichlet operators via stochastic analysis, (with Yu. Kondratiev, M. Röckner),J. Funct. Anal. 128, no. 1, 102–138 (1995)
234. A renormalization result for the intersection local time of lattice random walk ind ≥ 3 dimensions, (with X.Y. Zhou), J. Stat. Phys. 80, no. 3-4, 603–624 (1995)
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236. Potential theory of quasi-regular Dirichlet forms without capacity (with Z.M.Ma, M. Röckner), Proc. Int. Conf. pp. 47–53 in ”Dirichlet forms and StochasticProcesses”, Beijing 1993, Eds. Z.M. Ma, M. Röckner, J. A. Yan, DeGruyterBerlin (1995)
237. A remark on quasi–Radon measures, (with Z.M. Ma, M. Röckner), pp. 75–85 inProc. 3d Conference ”Stochastic Processes, Physics and Geometry II”, Locarno1991, Eds. S. Albeverio, U. Cattaneo, D. Merlini, World Scientific, Singapore(1995)
238. Characterization of (non–symmetric) semi-Dirichlet forms associated with Huntprocesses, (with Z.M. Ma, M. Röckner), Random Operators and StochasticEquations 3, no. 2, 161-179, (1995)
239. Fundamental solution of heat and Schrödinger equation with point interaction,(with Z. Brzezniak, L. Dabrowski), J. Funct. Anal. 130, no. 1, 220–254 (1995)
240. Square Powers of singularly perturbed operators, (with W. Karwowski, V.Koshmanenko), Math. Nachr. 173, 5–24 (1995)
241. Oscillatory integrals on Hilbert spaces and Schrödinger equation with magneticfields, (with Z. Brzezniak), J. Math. Phys. 36, no. 5, 2135–2156 (1995) (Specialissue on Functional Integration)
242. The heat equation with point interaction in Lp spaces, (with Z. Brzezniak, L.Dabrowski), Integral equations and operator theory 21, no. 2, 127–138 (1995)
243. A random walk on p–adic numbers, (with W. Karwowski), pp. 61–74 in ”Sto-chastic Process – Physics and Geometry II”, Proc. Locarno (1991), Edts. S.Albeverio, U. Cattaneo, D. Merlini, World Scientific, Singapore (1995)
244. Euclidean random fields obtained by convolution from generalized white noise,(with J.L. Wu), J. Math. Phys. 36, no. 10, 5217–5245 (1995)
245. Nonstandard flat integral representation of the free Euclidean field and a largedeviation bound for the exponential interaction , (with J. L. Wu), pp. 198-210 inDevelopments in Nonstandard Mathematics (in Memoriam of Abraham Robin-son, eds. N. J. Cutland, V. Neves, F. Oliveria and J. Suosa-Pinto), Pitman Re-search Notes in Mathematics Series 336, Longman (1995)
246. Supersymmetric Dirichlet operators (with Yu. Kondratiev), Ukr. Math. J. (Fest-schrift Berezanski), 47, no. 5, 583–592 (1995) (russ. ed.), Ukrainian Math. J.47, no. 5, 675–685 (1996)
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247. Boundary conditions for stochastic evolution equations with an extremelychaotic source, (with T.J. Lyons, Yu.A. Rozanov), (russ. Mat. Sb. 186, no.12, 3–20 (1995)), Sb. Math. 186, no. 12, 1693-1709 (1995)
248. Role of noises in neural networks, (with J.F. Feng and M. Qian), Phys. Rev. E(3)52, no. 6, part B, 6593-6606 (1995)
249. Stationary phase method in infinite dimensions by finite dimensional approxi-mations: applications to the Schrödinger equation, (with Z. Brzezniak, A.M.Boutet de Monvel-Berthier), Pot. Anal. 4, no. 5, 469–502 (1995)
250. A remark on symmetry of stochastic dynamical systems and their conservedquantities , (with S. M. Fei), J. Phys. A 28, no. 22, 6363-6371 (1995)
251. The three-body quantum problem with point-like interaction from the point ofview of harmonic analysis (with K. Makarov), Proc. Workshop on singularSchrödinger operators, Ed. G. F. Dell’Antonio, HAS/FM 16/1995, Trieste, 1995,1–20
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253. A remark on coercive forms and associated semigroups, (with F. Ru-Zong, M.Röckner, W. Stannat), pp. 1–8 in Partial differential operators and mathematicalphysics, Theory Adv. Appl. 78, Birkhäuser, Basel (1995)
254. A basic estimate for two-dimensional stochastic holonomy along Brownianbridges, (with S. Kusuoka), J. Funct. Anal. 127, no. 1, 132-154 (1995)
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255. Convoluted generalized white noise, Schwinger functions and their analytic con-tinuation, (with H. Gottschalk, J.L. Wu), Rev. Math. Phys. 8, 763-817 (1996)
256. Infinite dimensional integrals in classical, stochastic and quantum nonlinearproblems, pp. 849–860 in V. Lakshmikantham, Ed., Proc. 1. World Congressof Nonlinear Analysts ’92 (Tanga, Florida), De Gruyter (1996)
257. A new discrete Edwards model and a new polymer measure in two dimensions,(with X.Y. Zhou), Commun. Math. Phys. 177, no. 2, 469–506 (1996)
258. p-adic Hilbert space representation of quantum systems with an infinite numberof degrees of freedom, (with A. Khrennikov), Int. J. Mod. Phys. B 10, no. 13-14,1665–1673 (1996)
259. Representations of the Weyl group in spaces of square integrable functions withrespect to p-adic valued Gaussian distributions, (with A. Khrennikov), J. Phys.A 29, no. 17, 5515–5527 (1996)
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260. Highest weight representation of quantum current algebras, (with S. M. Fei),Lett. Math. Phys. 36, no. 3, 319–326 (1996)
261. A martingale approach to directed polymers in a random enviroment, (with X.Y.Zhou), J. Th. Prob. 9, no. 1, 171–189 (1996)
262. Singular traces and compact operators, (with D. Guido, A. Ponosov, S. Scar-latti), J. Funct. Anal. 137, no. 2, 281–302 (1996)
263. Non gaussian infinite dimensional analysis, (with Y. Daletski, Y. Kondratiev, L.Streit), J. Funct. Anal. 138, no. 2, 311–350 (1996)
264. Wiener process behavior of some modified Domb–Joyce models in d ≥ 4 di-mensions, (with X.Y. Zhou), pp. 38–52 in Stochastic Analysis and Applications,Proc. Fifth Gregynog Symposium, July 1995 (Wales), Edts. I.M. Davies, A.Truman, K.D. Elworthy, World Scient., Singapore (1996)
265. The analytic operator–valued Feynman integral via additive functionals of Brow-nian motion, (with G.W. Johnson, Z.M. Ma), Acta Applic. Math. 42, no. 3,267–295 (1996)
266. Trivial solution for a nonlinear two–space dimensional wave equation perturbedby space–time white noise, (with Z. Haba, F. Russo), Stoch. and Stoch. Repts.56, no. 1-2, 127–160 (1996)
267. Quantum hierarchical model, (with Yu. G. Kondratiev, Yu. V. Kozitsky), Meth.Funct. Anal. Top. 2, pp. 1-35 (1996)
268. A central limit theorem for the fourth Wick power of the free lattice field, (withX.Y. Zhou), Commun. Math. Phys. 181, no. 1, 1–10 (1996)
269. Asymptotic quantization for solution manifolds of some infinite-dimensionalHamiltonian systems, (with A. Daletskii), J. Geometry and Physics, 19, no. 1,31–46 (1996)
270. Euclidean random fields, pseudodifferential operators and Wightman functions,(with H. Gottschalk, J.L. Wu), pp. 20–37 in Stochastic Analysis and Applica-tions, Edts. I.M. Davies, A. Truman, K.D. Elworthy, World Scient., Singapore(1996)
271. Differential geometry of Poisson spaces, (with Yu.G. Kondratiev, M. Röckner),CRAS (Paris) 323, no. 10, 1129–1134 (1996)
272. A mathematical flat integral realisation and a large deviation result for the freeEuclidean field, (with J.L. Wu), Acta Appl. Math. 45, no. 3, 317–348 (1996)
273. A stochastic differential equation approach to some lattice models on compactLie groups, (with A. Daletskii, Yu. Kondratiev), Random Operators and Stocha-stic Equations 4, no. 3, 239-249 (1996)
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274. A stochastic differential equation approach to lattice spin models with values incompact Lie groups, (with A. Daletskii, Yu. Kondratiev), pp. 1-16 in: InfiniteDimensional Harmonic Analysis (Transactions of a German-Japanese Sympo-sium, October 3–6, 1995, Tübingen), ed. H. Heyer, T. Hirai, Gräbner Verlag,Tübingen, 1996
275. Non linearity and disorder in classical and quantum systems, deterministic andstochastic, pp. 19–48 in “The Non Linearity and the Disorder” (“La no linearidady el desorden”), Editorial Complutence Madrid, edits. L. Vazquez, S. Jiménez(1996)
276. The trace formula for Schrödinger operators from infinite dimensional oscilla-tory integrals, (with A. Boutet de Monvel-Berthier, Z. Brzezniak), Math. Nachr.182, 21–65 (1996)
277. Attractors in a model related to the three-body quantum problem, (withK. Makarov), C. R. Acad. Sci. Paris Ser. I Math. 323, no. 6, 693–698 (1996)
278. Loop groups, random gauge fields, Chern-Simons models, strings: some recentmathematical developments, pp 5–34; Espace des lacets Proc. Conf. Loop spaces’94, Strasbourg Ed. R. Léandre, S. Paycha, T. Wurzbacher (1996) (Publ. Inst.R. Descartes)
279. Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces,(with M. Röckner and Yu. Kondratiev), C. R. Acad. Sci. Paris Ser. I Math. 323,no. 11, 1179-1184 (1996)
280. Generalized random vector fields and Euclidean quantum fields (with H.Gottschalk and J. L. Wu), in Proc. on the “Second Seminar on Stoch. Anal.,Random fields and Applications”, Sept. 16-21, Centro Stefano Frascini, Ascona(eds. R. Dalang, M. Dozzi and F. Russo), Birkhäuser Verlag, Basel, Boston,Berlin. (1996)
281. On non-linear two-space-dimensional wave equation perturbed by space-timewhite noise, (with Z. Haba and F. Russo), pp. 1–25 in Stochastic analysis:random fields and measure-valued processes (Ramat Gan, 93/95), Israel Math.Conf. Proc., 10, Bar-Ilan Univ., Ramat Gan, 1996
282. S-matrix, resonances, and wave functions for transport through billiards withMaps, (with F. Haake, P. Kurasov, M. Kus, P. Seba), J. Math. Phys. 37, no. 10,4888–4903 (1996)
283. A modified Domb–Joyce model in four dimensions, (with X.Y. Zhou), MarkovProcesses Rel. Fields 2, no. 3, 369–400 (1996)
284. Free energy and some sample path properties of a random walk with randompotential, (with X.Y. Zhou), J. Stat. Phys. 83, no. 3-4, 573–622 (1996)
285. Intersections of random walks and Wiener sausages in four dimensions, (withX.Y. Zhou), Acta Appl. Math. 45, no. 2, 195–237 (1996)
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286. Representation of the solutions of the Belavkin quantum measurement equationby a rigorous version of the Menski functional integration formula (with V. N.Kolokoltsov, O. Smolyanov), C. R. Acad. Sci. Paris Ser. I Math 323, no. 6,661-664 (1996)
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287. Partitions of unity in Sobolev spaces over infinite-dimensional state spaces, (withZ.M. Ma, M. Röckner), J. Functional Anal. 143, no. 1, 247–268 (1997)
288. Wiener and Feynman–Path integrals and their Applications, pp. 163–194 in Proc.N. Wiener Centenary Conference, East Lansing, 1994, Proceedings of Symposiain Applied Mathematics, vol. 52 Edts. P. Masani et al., AMS (1997)
289. A mathematical introduction to string theory – Variational problems, geometricand probabilistic methods, (with J. Jost, S. Paycha, S. Scarlatti), London Mathe-matical Society Lecture Note Series, 225, Cambridge University Press (1997)
290. The rate of escape for some Gaussian processes and the scattering theory fortheir small perturbations, (with V. Kolokoltsov), Stoch. Proc. Appl. 67, no. 2,139–159 (1997)
291. Advances in Dynamical Systems and Quantum Systems, (in Honour of G.F.Dell’Antonio) (with R. Figari, E. Orlandi, A. Teta), World Scientific, Singapore(1997)
292. Rank one perturbations, approximations and selfadjoint extensions, (with P.Kurasov), J. Funct. Anal. 148, no. 1, 152–169 (1997)
293. Critical properties of a quantum hierarchical model, (with Yu.G. Kondratiev,Yu.V. Kozitsky), Lett. Math. Phys. 40, no. 3, 287-291 (1997)
294. Pseudo-differential operators with point interactions, (with P. Kurasov), Lett.Math. Phys. 41, no. 1, 79–92 (1997)
295. Rank one perturbations of not semibounded operators, (with P. Kurasov), Inte-gration Equations Operator Theory 27, no. 4, 379–400 (1997)
296. Non trivial scattering amplitudes for some local relativistic quantum field modelswith indefinite metric, (with H. Gottschalk, J.L. Wu), Phys. Lett. B 405, no. 3-4,243-248 (1997)
297. Uniqueness of Gibbs states on loop lattices, (with Yu. Kondratiev, T.V. Tsi-calenko, M. Röckner), C. R. Acad. Sci. Paris Ser. I Math. 324, no. 12, 1401-1406 (1997)
298. Ergodicity for the stochastic dynamics of quasi-invariant measures with appli-cations to Gibbs states, (with Yu. Kondratiev, M. Röckner), J. Funct. Anal. 149,no. 2, 415-469 (1997)
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299. An introduction to the mathematical theory of neural networks, (with B. Tirozzi),pp. 197–222 in Fourth Granada Lectures in Computational Physics, Proc.Granada Conf. (1996), LNP 493, Springer, Berlin (1997), Eds. P. L. Garrido, J.Marro
300. Some applications of infinite dimensional analysis in mathematical physics,Helv. Phys. Acta 70, no. 4, 479–506 (1997)
301. Stochastic partial differential equations, infinite dynamical stochastic processesand random fields: a short introduction (with F. Russo), pp. 68–87, in Nonlin-ear Klein-Gordon and Schrödinger systems: theory and applications, Edts .L.Vazquez, L. Streit, V.M. Pérez-Garcia, Proc Escorial Conf, World Scient., Sin-gapore (1997)
302. Remarks on some new models of interacting quantum fields with indefinite met-ric, (with H. Gottschalk, J.L. Wu), Reports in Math. Phys. 40, no. 3, 385–394(1997) (special issue of the Proc. of the 29th Symp. Math. Phys. Torun)
303. Nontrivial attractors in a model related to the three-body problem, (with K.A.Makarov), Acta Appl. Math. 48, no. 2, 113-184 (1997)
304. Absence of critical points for a class of quantum hierarchical models, (with Yu.Kozitsky, Yu. Kondratiev), Comm. Math. Phys. 187, no. 1, 1-18 (1997)
305. A remark on non-smoothness of the self-intersection local time of planar Brow-nian motion, (with Y.Z. Hu, X.Y. Zhou), Statist. Probab. Lett. 32, no. 1, 57–65(1997)
306. Models of local relativistic quantum fields with indefinite metric (in all dimen-sions), (with H. Gottschalk, J.L. Wu), Commun. Math. Phys. 184, no. 3,509-531 (1997)
307. Asymmetric neural networks and immune system, (with B. Tirozzi), MarkovProc. Rel. Fields 3, no. 4, 423-442 (1997) (Special Issue in Statistical Me-chanics of large Networks, dedicated to the memory of R. Dobrushin)
308. On the lattice approximation for certain generalized vector Markov fields in fourspace-time dimensions, (with J. L. Wu ), Acta Appl. Math. 47, no. 1, 31-48(1997)
309. Representation of a quantum field Hamiltonian in p-adic Hilbert space, (with R.Cianci, A. Yu. Khrennikov), Theor. and Math. Phys. 112, 1081–1096 (1997)(transl. of Theor. Math. Fiz. 112, No. 3, 355–374 (1997))
310. Finite dimensional approximations of p-adic pseudodifferential operators, (withE. Gordon, A. Khrennikov), Mathematical simulation V. 9, No. 10, p. 11–21(1997) (russian)
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311. A general setting for stochastic processes associated with quantum fields (withR. Gielerak, F. Russo), Eds. I. Csiszhár, Gy. Michaletzky, Stochastic Differen-tial and Differential Equations. Dist. & Differ. Eq., Gyor, Hungary, pp. 77-89,Birkhäuser, Aug. 1997
312. Infinite systems of stochastic differential equations and some lattice models oncompact Riemannian manifolds, (with A. Daletskii, Yu. Kondratiev), Ukr. Math.J. 49, no. 3, 360-372 (Issue dedicated to the 70th anniversary of Prof. YuriDaletskii) (1997)
313. A mathematical construction of the non-abelian Chern-Simons functional inte-gral, (with A. Sengupta), Commun. Math. Phys. 186, no. 3, 563–579 (1997)
314. The Liouville theorem for infinite dimensional Hamilton-Dirac systems, (withO.G. Smolyanov), Dokl. Akad. Nank. 355, no. 1, 7–10 (1997) (russ.) (transl.Dokl. Math. 56, 475–478 (1997))
315. An extended Kohonen phonetic map, (with N. Krüger, B. Tirozzi), Mathem. andComputer Modell. 25 (2), 69–73, (1997)
316. Lippman–Schwinger equations for singularly perturbed operators, (with J.F.Brasche, V. Koshmanenko), Meth. Funct. Anal. Top. 3, no. 1, 1–27 (1997)
317. Constructive approach to the global Markov property in Euclidean quantumfield theory. I. Constructions of transition kernels, (with R. Gielerak, F. Russo),Markov Processes Relat. Fields 3, no. 3, 275-322 (1997)
318. Dobrushin’s uniqueness for quantum lattice systems with non-local interaction,(with Yu. Kondratiev, M. Röckner, T.V. Tsikalenko), Comm. Math. Phys. (Do-brushin Mem. Vol.) 189, no. 2, 621–630 (1997)
319. Thermodynamic limit theorem for quantum hierarchical model (with Yu. Kon-dratiev, Yu. V. Kositsky), Lett. Math. Phys 40, 287–291 (1997)
320. Uniqueness of Gibbs states for quantum lattice systems, (with Yu. Kondratiev,M. Röckner, T. Tsikalenko), Probab. Theory Related Fields 108, no. 2, 193–218(1997)
321. Continuous quantum measurement: local and global approaches, (with V.N.Kolokoltsov, O.G. Smolyanov), Rev. Math. Phys. 9, no. 8, 907–920 (1997)
322. On the Fourier transform and the spectral property of the p-adic momentum andSchrödinger operators, (with R. Cianci, A. Khrennikov), J. Phys. A. 30, no. 16,5767-5784 (1997)
323. On the spectrum of the p-adic position operator, (with R. Cianci, A. Khren-nikov), J. Phys. A 30, no. 3, 881-889, (1997)
324. Ergodicity of L2–semigroups and extremality of Gibbs states, (with Yu. Kon-dratiev, M. Röckner), J. Funct. Anal. 144, no. 2, 394–423 (1997)
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325. The Chern-Simons functional integral as an infinite dimensional distribution(with A. Sengupta), Nonlinear Anal.-Theor. 30, 329-335, (1997)
326. Infinite-dimensional stochastic Schrödinger-Belavkin equations, (with O.Smolyanov), Russ. Math. Surv. 52, no. 4, 822-823 (1997) (russ. Usp. Mat.Nank 52, 197–198 (1997))
327. Some remarks on fractals and dynamical systems (classical/stochastic) in biol-ogy, pp 1–16 in Proc. I Ascona Conf. Fractals in biology and medicine, Eds.G. Losa, D. Merlini, Th. J. Nonnenmacher, E. R. Weibel , Birkhäuser, Basel(1997)
328. Transience of stochastically perturbed classical Hamiltonian systems and ran-dom wave operators, (with A. Hilbert, V. Kolokoltsov), Stoch. and Stoch. Repts.60, no. 1-2, 41–55 (1997)
329. On asymptotic properties of certain orthogonal polynomials, (with L. Pastur, M.Shcherbina), Mat. Fiz. Anal. Geom. 4, no. 3, 263–277 (1997)
330. A survey of some developments in loop spaces: associated stochastic pro-cesses, statistical mechanics, infinite dimensional Lie groups, topological quan-tum fields, Proc. Steklov. Inst. Maths 217, no. 2, 203–229 (1997)
1998
331. Small-mass behaviour of quantum Gibbs states for lattice models with un-bounded spins, (with Yu. Kondratiev, R.A. Minlos, A.L. Rebenko), J. Stat. Phys.92, no. 5-6, 1153-1172 (1998)
332. Non symmetric diffusions and related Hamiltonians, (with L. Morato, S.Ugolini), Pot. Anal. 8, no. 2, 195-204 (1998)
333. Integrable Poisson algebras and two dimensional manifolds , (with S.M. Fei), J.Phys. A. 31, no. 4, 1211-1218 (1998)
334. Some new exact ground states of generalized Hubbard models, (with S. M. Fei),Europhys. Letts. 41, 665–670 (1998)
335. Limit behavior in a singular perturbation problem, regularized convolution op-erators and the 3-body quantum problem, (with K. Makarov), pp. 1–10 in Differ-ential and Integral Operators, Proc. IWOTA95, Edts. I. Gohberg, R. Mennicken,C. Tretter, Birkhäuser, Basel (1998)
336. On inverse spectral theory for self-adjoint extensions: mixed types of the spectra,(with J. Brasche, H. Neidhardt), J. Funct. Anal. 154, no. 1, 130-173 (1998)
337. The Efimov effect and an extended Szegö-Kac limit theorem, (with S. Lakaev,K.A. Makarov), Lett. Math. Phys. 43, no. 1, 73-85 (1998)
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338. Parabolic SPDE’s driven by Poisson noise, (with J.L. Wu, T.S. Zhang), StochProc. Appl. 74, no. 1, 21-36 (1998)
339. Some quantization methods for finite-dimensional Hamiltonian systems withconstraints, (with O. Smolyanov, E.T. Shavgulitzde), Dokl. Maths. 58, no. 1,114-117 (1998) (transl. of 361, no. 1, 727-730)
340. Approximations of Ornstein–Uhlenbeck processes with unbounded linear drifts,(with T.S. Zhang), Stoch. Stoch. Rep. 63, no. 3-4, 303-312 (1998)
341. Analysis and geometry on configuration spaces, (with Yu. Kondratiev, M. Röck-ner), J. Funct. Anal. 154, no. 2, 444-500 (1998)
342. Analysis and geometry on configuration spaces: The Gibbsian case, (with Yu.Kondratiev, M. Röckner), J. Funct. Anal. 157, no. 1, 242-291 (1998)
343. p-adic dynamical systems, (with A. Khrennikov, S. De Shmedt, B. Tirozzi),Theor. and Math. Phys. 114, no. 3, 276-287 (russ: 349-365) (1998)
344. Human memory as a p-adic dynamical systems, (with A. Khrennikov, E. Kloe-den), Theor. and Math. Phys. 117, no. 3, 1414-1422 (russ: 385-396) (1998)
345. A regularization of quantum field Hamiltonians with the aid of p-adic numbers,(with A. Khrennikov), Acta Appl. Math. 50, no. 3, 225-251 (1998)
346. Partly divisible probability distributions, (with H.Gottschalk, J.L. Wu), ForumMath. 10, no. 6, 687-697 (1998)
347. Symmetry, Integrable Chain Models and Stochastic Processes , (with S.M. Fei),Rev. Math. Phys. 10, no. 6, 723-750 (1998)
348. An Integral Representation for Ising Models , (with S.M. Fei), Int. J. Mod. Phys.B 12, no. 23, 2393-2407 (1998)
349. Algebras of pseudodifferential operators in L2 given by smooth measures onHilbert spaces, (with A. Daletskii), Math. Nachr. 192, 5-22 (1998)
350. Stochastic evolution on product manifolds, (with A. Daletskii and Yu. Kon-dratiev), Hyperfunctions, Operator theory and Dynamical Systems, Eds. I. An-toniou, G. Lumer, Pitman Res. Notes Vol. 399, 274-298, (1998)
351. Some examples of Dirichlet operators associated with the actions of infinite di-mensional Lie groups, (with A. Daletskii, Yu. Kondratiev), Meth. Funct. Anal.Top. 4, no. 2, 1-15 (1998)
352. Symmetries of Schrödinger operators with point interactions , (with L.Dabrowski, P. Kurasov), Lett. Math. Phys. 45, no. 1, 33-47 (1998)
353. Asymptotics of a branching random walk on the lattice with a single source,(with L.V. Bogachev, E.B. Yarovaya), C. R. Acad. Sci. Paris Ser. I Math. 326,no. 8, 975-980 (1998); Erratum, ibid., 327, no. 6, 585 (1998)
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354. Brownian survival in a clusterized trapping medium, (with L. Bogachev), Rev.Math. Phys. 10, no. 2, 147-189 (1998)
355. Localization vs. delocalization of random discrete measures, (with L. Bo-gachev), Th. Prob. Appl. 43, no. 4, 711-734, (1998), (translation of Teor.Veroyatnost. i. Primen. 43, no. 4, 711-734 (1998))
356. On the Schrödinger equation with potentials which are Laplace transforms ofmeasures, (with Z. Brzezniak, Z. Haba), Pot. Anal. 9, no. 1, 65-82 (1998)
357. Peierls argument and long range order behaviour of quantum lattice systemswith unbounded spins, (with Yu. Kondratiev, A.L. Rebenko), J. Stat. Phys. 92,no. 5-6, 1137-1152 (1998)
358. Suppression of critical fluctuations by strong quantum effects in quantum latticesystems, (with Yu. Kondratiev, Yu. Kozitsky), Comm. Math. Phys. 194, no. 3,493-512 (1998)
359. Dagli invisibili di Cavalieri all’ analisi non standard, Att. Convegno Verbania,March 1998, Ed. N. Sala, Verbania (1998)
360. Current algebras over manifolds: Poisson algebras, q-deformations and quanti-zation, (with S.M. Fei), J. Geom. Phys. 27, no. 1-2, 30-48 (1998)
361. On the equality of two polymer measures in three dimensions, (with X. Y. Zhou),J. Math. Sci. Univ. Tokyo 5, no. 3, 561-596 (1998)
1999
362. Memory retrieval as a p-adic dynamical system, (with A. Khrennikov and E.Kloeden), BioSystems 49, 105-115 (1999)
363. p-adic probability and an interpretation of negative probabilities in quantummechanics, (with R. Cianci. N. De Grande-De Kimpe, A. Khrennikov), Russ. J.Math. Phys. 6, no. 1, 1-19 (1999)
364. Generalized eigenfunctions under singular perturbations, (with. V. Koshma-nenko, K. Makarov), Meth. Funct. Anal. Top. 5, no. 1, 13-28 (1999)
365. The probabilistic Feynman-Kac formula for an infinite dimensional Schrödingerequation with exponential and singular potentials, (with A. Khrennikov, O.Smolyanov), Potential Anal. 11, no. 2, 157-181 (1999)
366. Symplectic geometry on quantum planes, (with with S.M. Fei), Mod. Phys. Lett.A 14, no. 8-9, 549-557 (1999)
367. Stochastic equations and quasi-invariance on infinite product groups, (with A.Daletskii), Inf. Dim. Anal. Quant. Prob. 2, no. 2, 283-288 (1999)
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368. An exactly solvable model of generalized spin ladders, (with S. M. Fei and Y.Wang), Europhys. Lett. 47, 364-370 (1999)
369. Diffeomorphism groups, current algebras: configuration space analysis in quan-tum theory, (with Yu. Kondratiev, M. Röckner), Rev. Math. Phys. 11, no. 1,1-23 (1999)
370. The finite gap property of periodic point potentials (with V. A. Geyler), Russ.Math. Surv. 821 (1999) (Joint session of the Pelinovski Seminar and the MoscowMathematical Society, announcement)
371. Fluctuations and their Glauber dynamics in lattice systems, (with Yu. Kon-dratiev, A. Daletskii, M. Röckner), J. Funct. Anal. 166, no. 1, 148-167 (1999)
372. Stochastic analysis on infinite dimensional product manifolds, (with A. Daletskii,Yu. Kondratiev), pp. 339-370 in “Stochastic Dynamics”, Eds. H. Crauel, M.Gundlach (Dedicated to L. Arnold), Springer, 1999
373. Asymptotics and spectral results for random walks on p-adics, (with W. Kar-wowski, X.L. Zhao), Stoch. Proc. Appl. 83, no. 1, 39–59 (1999)
374. Quasi one-dimensional nanosystems in a uniform magnetic field: explicitly solv-able model, (with V.A. Geyler, O.G. Kostnov), Proc. XXX Symp. Math. Phys.,Torun, 1998, Rep. Math. Phys. 44, 13-20 (1999)
375. Stochastic and deterministic methods in the analysis of the δ 18O record in thecore V28-239, (with H. J. Giese, G. Stabile), Chem. Geology 161, 271–289(1999) (Special Issue: Earth System Evolution: Geochemical perspective, Ed.L. Veizer)
376. Non linear system analysis of a 87Sr|86Sr time series for phanerozoic sea-water, (with O. G. Podlaha, A. Chalimourda), Chem. Geology 161, 241–252(1999) (Special Issue: Earth System Evolution: Geochemical perspective, Ed.L. Veizer)
377. Finite rank perturbations and distribution theory, (with P. Kurasov), Proc. AMS127, no. 4, 1151–1161 (1999)
378. Representations of solutions of some stochastic equations of Schrödinger-Belavkin type by functional integrals, (with O.G. Smolyanov), Dokl. Maths.59,no. 1, 141-144 (1999), (russ. Dokl. Ak. Nauk. 364, no. 6, 747-751, 1999)
379. On uniqueness of invariant measures for finite and infinite dimensional diffu-sions, (with V. Bogachev, M. Röckner), Comm. Pure Appl. Math. 52, no. 3,325–362 (1999)
380. Feynman-Kac formulas for evolution differential equations with white-noise-typecoefficients, (with O. G. Smolyanov), Dokl. Maths. 60, 120–124 (1999) (russ.Dokl. Ak. Nan. 367, 26–30 (1999))
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381. Scattering behaviour of quantum vector fields obtained from Euclidean covariantSPDEs, (with H. Gottschalk, J.L. Wu), Rep. Math. Phys. 44, no. 1-2, 21-28,(1999)
382. Singular rank-one perturbations of self-adjoint operators and Krein theory ofself-adjoint extensions, (with V. Koshmanenko), Potent. Anal. 11, no. 3, 279-287 (1999)
383. On form-sum approximations of singularly perturbed positive self-adjoint oper-ators, (with V. Koshmanenko), J. Funct. Anal. 169, no. 1, 32-51 (1999)
384. Non-Archimedean analogues of orthogonal and symmetric operators and p-adicquantization, (with L.M. Bayod, C. Perez-Garsia, R. Cianci, A. Khrennikov),Acta Appl. Math. 57, no. 3, 205-237 (1999)
385. A priori estimates and existence of Gibbs measures: a simplified proof, (with Yu.Kondratiev, M. Röckner, T. Tsikalenko), C. R. Acad. Sci. Paris Ser. I Math. 328,no. 11, 1049-1054 (1999)
386. Spectral analysis of the disordered 1-D Ising model, (with R. Minlos, E. Sarlatti,E. Zhizhina), Comm. Math. Phys. 204, no. 3, 651-658 (1999)
387. Asymptotics of infinite-dimensional integrals with respect to smooth measures I,(with V. Steblovskaya), Infin. Dim. Anal. Quant. Prob. 2, no. 4, 529–556 (1999)
388. Stochastic quantization of the two dimensional polymer measure, (with Y.Z. Hu,M. Röckner, X.Y. Zhou), Appl. Math. Optim. 40, no. 3, 341-354 (1999)
389. Classical limits of Euclidean Gibbs states for quantum lattice models, (with Yu.Kondratiev, Yu. Kozitsky), Lett. Math. Phys. 48, no. 3, 221-233 (1999)
390. The Segal-Bargmann transform for two-dimensional Euclidean quantum Yang-Mills, (with B.C. Hall, A.N. Sengupta), Infin. Dimens. Anal. QuantumProbab.Relat. Top. 2, no. 1, 27-49 (1999)
391. p-adic dynamical systems and neural networks, (with A. Khrennikov, B.Tirozzi), Math. Models Methods Appl. Sci. 9, no. 9, 1417-1437 (1999)
392. Estimates uniform in time for the transition probability of diffusions with smalldrift and for stochastically perturbed Newton equations, (with A. Hilbert, V.Kolokoltsov), J. Theoret. Probab. 12, no. 2, 293-300 (1999)
393. Stochastic evolution on product manifolds, (with A. Daletskii, Y. Kondratiev),pp. 274–298 in Generalized functions, operator theory and dynamical systems,Chapman & Hall/CRC, Boca Raton, FL (1999)
394. Scattering behavior of quantum vector fields obtained from Euclidean covariantSPDEs, (with H. Gottschalk, J.L. Wu), Rep. Math. Phys. 44, 21-28 (1999)
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2000
395. On the problem of the right Hamiltonian under singular form-sum perturbations,(with V. Koshmanenko), Rev. Math. Phys. 12, no. 1, 1-24 (2000)
396. On the relation between different constructions of random walks on p-adics (withX.L. Zhao), Markov Process. Rel. Fields 6, no. 2, 239-255 (2000)
397. On Schrödinger operators perturbed by fractal potentials, (with V. Koshma-nenko), Rep. Math. Phys. 45, no. 3, 307-325 (2000)
398. Coupled states in a curved nanostructure (with V.A. Geyler, V.A. Margulis),Letts. JTP (russ.), 26, no. 2, 99-102 (2000)/Tech. Phys. Lett. 26(2) 99 (2000)
399. Complex Dirichlet forms: nonsymmetric diffusion processes and Schrödingeroperators, (with S. Ugolini), Potential Anal. 12, no. 4, 403-417 (2000)
400. Longtime behaviour of stochastic Hamiltonian systems: the multidimensionalcase, (with A. Klar), Potential anal. 12, no. 3, 281-297 (2000)
401. A priori estimates for symmetrizing measures and their applications to Gibbsstates, (with Yu. Kondratiev, M. Röckner, T.V. Tsikalenko), J. Funct. Anal 171,no. 2, 366-400 (2000)
402. Ground state euclidean measures for quantum lattice systems on compact man-ifolds, (with Yu.G. Kondratiev, R.A. Minlos, G.V. Shchepann’uk), Rep. Math.Phys. 45, no. 3, 419-429 (2000)
403. Extension of the Ahiezer-Kac determinant formula to the case of real-valuedsymbols with two real zeros, (with K.A. Makarov), Acta Appl. Math 62, no. 2,155-186 (2000)
404. Partly divisible probability measures on locally compact abelian groups, (withH. Gottschalk, J.L. Wu), Math. Nachr. 213, 5-15 (2000)
405. Invariant measures and symmetry property of Lévy type operators (with B. Rüdi-ger and J.L. Wu), Pot. Anal. 13, no. 2, 147-168 (2000)
406. Stochastic analysis on product manifolds: Dirichlet operators on differentialforms (with A. Daletskii, Yu. Kondratiev), J. Funct. Anal. 176, no. 2, 280-316 (2000)
407. Quasi-invariance and Gibbs structure of diffusion measures on infinite productgroups (with A. Daletskii), Methods Funct. Anal. Topology 6, no. 1, 28-42(2000)
408. Uniqueness problem for quantum lattice systems with compact spins , (withYu.G. Kondratiev, R.A. Minlos and G. Shchepanyuk), Letts. Math. Phys. 52,no.3, 185-195 (2000)
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409. Sur le comportement asymptotique du noyau associé à une diffusion dégénérée,(with. A. Hilbert, V. Kolokoltsov), C. R. Math. Acad. Sci. Soc. R. Can. 22, no.4, 151-159 (2000)
410. Teleportation of general finite-dimensional quantum systems, (with S.M. Fei)Phys. Lett. A 276, no. 1-4, 8-11 (2000)
411. Annealed moment Lyapunov exponents for a branching random walk in a homo-geneous random branching environment (with L. V. Bogachev,S. A. Molchanov,E. B. Yarovaya) Markov Process. Realated Fields 6, no.4, 473-516 (2000)
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413. Measure-valued branching processes associated with random walks on p-adics(with X.L. Zhao), Ann. Probab. 28, no.4, 1680-1710 (2000)
414. Laplace operators and diffusions in tangent bundles over Poisson spaces, (withA. Daletskii, E. Lytvynow), pp 1–25 in Ph. Clement, F. den Hollander, J. vanNeerven, B. de Pagter, eds., Infinite Dimensional Stochastic Analysis, Roy.Neth. Acad. Arts & Science, Amsterdam (2000)
415. Stochastic dynamics of compact spins: ergodicity and irreducibility, (with A.Daletskii, Yu. Kondratiev, M. Röckner), Acta Appl. Math. 63, no. 1-3, 27-40(2000)
416. Dirichlet operator on differential forms over product manifolds, (with A. Dalet-skii, Yu. Kondratiev), J. Funct. Anal. 176, 280–316 (2000)
417. On the construction of asymptotic states for some relativistic interacting quan-tum field models with indefinite metric, (with H. Gottschalk), pp 261-269 inQuantum theory and symmetries, World Sci. Publishing, River Edge, NJ, (2000)
418. Real time random walks on p-adic numbers, (with W. Karwowski), pp 54–67 inMathematical physics and stochastic analysis, Eds. S. Albeverio, Ph. Blanchard,L. Ferreira, T. Hida, Yu. Kondratiev, R. Vilela Mendes, World Sci. Publishing,River Edge, NJ, (2000)
419. De Rham complex over product manifolds: Dirichlet forms and stochastic dy-namics, pp 37–53 in "Mathematical physics and stochastic analysis", Festschriftfor L. Streit, Eds. S. Albeverio, et al., World Sci. Publishing, River Edge, NJ,(2000)
420. Analysis and geometry on marked configuration spaces, (with Yu. Kondratiev,E. Lytvynov, G. Us), pp 1–39 in Infinite dimensional harmonic analysis, Eds. H.Heyer, T. Hirai, N. Obata (Kyoto, 1999), Gräbner, Altendorf, (2000)
421. Some themes of the scientific work of Ludwig Streit, pp 1–7 in Mathematicalphysics and stochastic analysis (Lisbon, 1998), World Sci. Publishing, RiverEdge, NJ, (2000)
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422. Finite-dimensional approximations of operators in the Hilbert spaces of func-tions on locally compact abelian groups, (with E.I. Gordon, A.Yu. Khrennikov),Acta Appl. Math. 64, no. 1, 33-73 (2000)
423. The band structure of the general periodic Schrödinger operator with point in-teractions, (with V.A. Geyler), Comm. Math. Phys. 210, no. 1, 29-48 (2000)
424. Branching random walk in a catalytic medium. I. Basic equations, (with L.V.Bogachev), Positivity 4, no. 1, 41-100 (2000)
425. Asymptotic expansions for Ornstein-Uhlenbeck semigroups perturbed by po-tentials over Banach spaces, (with H. Röckle, V. Steblovskaya), StochasticsStochastics Rep. 69, no. 3-4, 195-238 (2000)
426. Branching random walk with a single source, (with L.V. Bogachev, E.B.Yarovaya), pp 9–19 in Communications in difference equations, (Poznan, 1998),Gordon and Breach, Amsterdam (2000)
427. A remark on the optimal cloning of an N -level quantum system, (with S.M. Fei),European Physical Journal B 14, 669-672 (2000)
428. A remark on one dimensional many-body problems with point interactions, (withL. Dabrowski, S.M. Fei), Int. J. Mod. Phys. B 14, 721-727 (2000)
429. Singular perturbations of differential operators and solvable Schrödinger typeoperators, (with P. Kurasov), Cambridge Univ. Press (2000)
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430. Massless Klein-Gordon equation, (with H. Gottschalk), Enc. Math., Kluwer(2001)
431. Massless field, (with H. Gottschalk), Enc. Math., Kluwer (2001)
432. Massive field, (with H. Gottschalk), Enc. Math., Kluwer (2001)
433. Laplace operators on differential forms over configuration spaces, (with A.Daletskii, E. Lytvynov), J. Geom. Phys. 37, no.1-2, 15-46 (2001)
434. Scattering theory for quantum fields with indefinite metric, (with H. Gottschalk),Comm. Math. Phys. 216, no. 3, 491-513 (2001)
435. Uniqueness for Gibbs states of quantum lattices in small mass regime (with Yu.Kondratiev, Yu. Kozitsky, M. Röckner) Ann. Inst. H. Poincaré Probab. Statist.37, no. 1, 43-69 (2001)
436. A decomposition theorem for Lévy processes on local fields (with X.L. Zhao), J.Theor. Prob. 14, no.1, 1-19 (2001)
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437. Analytic and Probabilistic Aspects of Lévy Processes and Fields in QuantumTheory. (with B. Rüdiger, J.-L. Wu), pp. 187-224 in Lévy Processes: Theory andApplications, eds O.Barndorff-Nielsen, T. Mikosch, Resnick Birkhäuser Verlag(2001)
438. Ahiezer-Kac’s type Fredholm determinant asymptotics for convolution operatorswith rational symbols (with K.A. Makarov), Trans. AMS 353, no. 5, 1985-1993(2001)
439. A note on invariants and entanglements (with S.M. Fei), J.Opt. B QuantumSemiclass. Opt. 3, no. 4, 223-227 (2001)
440. Euclidean Gibbs states of quantum crystals, (with Yu. Kondratiev, T. Pasurek,M. Röckner), Mosc. Math. J. 1, no. 3, 307–313,470 (2001)
441. Gibbs states on loop lattices: existence and a priori estimates, (with Yu. Kon-dratiev, T. Pasurek, M. Röckner), C.R. Acad. Sci. Paris, Ser. I Math. 333, no.11, 1005-1009 (2001)
442. Glauber dynamics for quantum lattice systems, (with Yu. Kondratiev, M. Röck-ner, T.V. Tsikalenko), Rev. Math. Phys. 13, no. 1, 51–124 (2001)
443. On negative eigenvalues of generalized Laplace operators, (with W. Karwowski,V. Koshmanenko), Rep. Math. Phys. 48, no. 3, 359–387 (2001)
444. Stochastic dynamics of fluctuations in classical continuous systems, (with M.Grothaus, Yu. Kondratiev, M. Röckner), J. Funct. Anal. 185, 129–154 (2001)
445. On-line portfolio strategy with prediction, (with L. Lao, X. Zhao), pp 19-28in Mathematical finance (Konstanz, 2000), Trends. Math., Birkhäuser, Basel,(2001)
446. Continuous time financial market, transaction cost and transaction intensity,(with L. Lao, X. Zhao), pp 29-39 in Mathematical finance (Konstanz, 2000),Trends. Math., Birkhäuser, Basel, (2001)
447. Integrable models and stochastic processes, (with S.M. Fei), Czechoslovak J.Phys. 51, no. 12, 1241-1246 (2001)
448. Integrable stochastic ladder models, (with S.M. Fei), J. Phys. A 34, no. 34,6545-6552 (2001)
449. On the 1/n expansion for some unitary invariant ensembles of random matrices,(with L. Pastur, M. Shcherbina), Comm. Math. Phys. 224, no. 1, 271-305 (2001)
450. Functional integral representations for solutions of Liouville equations for gen-eralized Hamiltonian systems, (with O.G. Smolyanov, A.Yu. Khrennikov), Dokl.Akad. Nauk 381, no. 2, 155-159 (2001) (transl. of no. 2, pp 1-5)
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451. Intersection local times of independent Brownian motions as generalized whitenoise functionals, (with M.J. Oliveira, L. Streit), Acta Appl. Math. 69, no. 3,221-241 (2001)
452. On multi-period market expansion with the uniformly equivalent martingalemeasure, (with Yu.A. Rozanov), Acta Appl. Math. 67, no. 3, 253-275 (2001)
453. A two-space dimensional semilinear heat equation perturbed by (Gaussian)white noise, (with Z. Haba, F. Russo), Probab. Theory Related Fields 121, no. 3,319-366 (2001)
454. De Rham cohomology of configuration spaces with Poisson measure, (with A.Daletskii, E. Lytvynov), J. Funct. Anal. 185, no. 1, 240-273 (2001)
455. Many body problems with "spin"-related contact interactions, (with S.M. Fei, P.Kurasov), Rep. Math. Phys. 47, no. 2, 157-166 (2001)
456. On the paths Hölder continuity in models of Euclidean quantum field theory,(with R. Gielerak, F. Russo), Stochastic Anal. Appl. 19, no. 5, 677-702 (2001)
457. Spatial chaos in a fourth-order nonlinear parabolic equation, (with I.L. Nizh-nik), Phys. Lett. A 288, no. 5-6, 299-304 (2001)
458. On-line portfolio selection strategy with prediction in the presence of transactioncosts, (with L. Lao, X. Zhao), Math. Methods Oper. Res. 54, no. 1, 133-161(2001)
459. Geometric phase related to point-interaction transport on a magneticLobachevsky plane, (with P. Exner, V.A. Geyler), Lett. Math. Phys. 55, no.1, 9-16 (2001)
460. Separability of rank two quantum states, (with S.M. Fei, D. Goswami), Phys.Lett. A 286, no. 2-3, 91-96 (2001)
461. Nonstandard construction of stable type Euclidean random field measures, (withJ.L. Wu), pp. 1–18 in Reuniting the antipodes — constructive and nonstandardviews of the continuum (Venice, 1999), Synthese Lib. 306, Kluwer Acad. Publ.,Dordrecht (2001)
462. Singular cluster interactions in few-body problems, (with P. Kurasov), pp. 277–292 in Evolution equations and their applications in physical and life sciences(Bad Herrenalb, 1998), Lecture Notes in Pure and Appl. Math. 215, Dekker,New York (2001)
463. On the Markovian behavior of p-adic random dynamical systems, (with M.Gundlach, A. Khrennikov, K. O. Lindahl), Russ. J. Math. Phys. 8, no. 2,135-152 (2001)
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464. H − C1 maps and elliptic SPDEs with non-linear local perturbations of Nel-son’s Euclidean free field, (with M. W. Yoshida), in: Applications of renor-malization group methods in mathematical sciences (Japanese) (Kyoto, 2001),Surikaisekikenkyusho Kokyuroku (RIMS Kyoto) No. 1275, 97-111 (2002)
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465. Gibbs states of a quantum crystal: uniqueness by small particle’s mass, (withYu. Kondratiev, Yu. Kozitsky, M. Röckner), C. R. Math. Acad. Sci. Paris I 335,no. 8, 693-698 (2002)
466. Euclidean Gibbs states of quantum lattice systems, (with Yu. Kondratiev, Yu.Kozitski, M. Röckner), Rev. Math. Phys. 14, no. 12, 1335-1401 (2002)
467. On integrability of many-body problems with point interactions, (with S.M. Fei,P. Kurasov), Oper. Theory Adv. Appl. 132, 67–76 (2002)
468. Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows, (with B. Ferrario) J. Funct. Anal. 193, no. 1, 77-93 (2002)
469. A model of financial market with several interacting assets, (with V. Ste-blovskaya), Finance Stoch. 6, no. 3, 383–396 (2002)
470. SPDEs leading to local, relativistic quantum vector fields with indefinite metricand nontrivial S-matrix, (with H. Gottschalk, J.L. Wu), Lect. Notes in Pure andAppl. Math. 227, 21–38 (2002)
471. Representing Euclidean quantum fields as scaling limit of particle systems, (withH. Gottschalk, M.W. Yoshida), J. Statist. Phys. 108, no. 1-2, 361–369 (2002)
472. Point interactions: PT -Hermiticity and reality of the spectrum, (with S.M. Fei,P. Kurasov), Lett. Math. Phys. 59, no. 3, 227–242 (2002)
473. Phase space Feynman path integrals, (with G. Guatteri, S. Mazzucchi), J. Math.Phys. 43, no. 6, 2847–2857 (2002)
474. A remark on nonsymmetric stochastic processes on p-adics, (with X. L. Zhao),Stochastic Anal. Appl. 20, no. 2, 243–261 (2002)
475. A continuous time financial market with a Poisson process as transaction timer,(with L.J. Lao, X.L. Zhao), Adv. Comput. Math. 16, no. 4, 305–330 (2002)
476. Trace formula for p-adics, (with W. Karwowski, K. Yasuda), Acta Appl. Math.71, 31–48 (2002)
477. Integrable lattice systems and Markov processes, (with S.M. Fei), Int. J. Theor.Phys., Group Theory and Nonlinear Optics 9, 39-68 (2002)
478. Teleportation with an arbitrary mixed resource as a trace-preserving quantumchannel, (with S.M. Fei, W.L. Yang), Comm. Theor. Phys. 38, 301-304 (2002)
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480. H-C1 maps and elliptic SPDEs with polynomial and exponential perturbationsof Nelson’s Euclidean free field, (with M.W. Yoshida), J. Funct. Anal. 196, no.2, 265-322 (2002)
481. Finiteness of the discrete spectrum of the four-particle Schrödinger operator ona lattice, (with S. Lakaev), Funktsional. Anal. i Prilozhen 36, no. 3, 56-60(2002) (russian), translation in Funct. Anal. Appl. 36 (2002), no. 3, 212-216
482. A new convergent-lattice approximation for the φ42-quantum field, (with S. Bern-abei, X.Y. Zhou), pp. 778-811 in "Collection Papers of Zhou Xian Yin", Vol. II,Beijing Normal Univ. Mod. Maths. Ser. 10, (2002)
483. Localization of a random walk with random potential, (with F. den Hollander,X.Y. Zhou), pp. 811-840 in "Collection Papers of Zhou Xian Yin", Vol. II,Beijing Normal Univ. Mod. Math. Ser. 10, (2002)
484. On the partition function and the diffusive behavior of a directed polymer inrandom environment, (with R. Song, X.Y. Zhou), pp. 911-914 in "CollectionPapers of Zhou Xian Yin", Vol. II, Beijing Normal Univ.-Press (2002)
485. Renormalization results for some restricted intersection local times, (with X.Y.Zhou), pp. 915-943 in "Collection Papers of Zhou Xian Yin", Vol. II, BejingNormal Univ. Press (2002)
486. On the intersections of transient Brownian motions, (with. S. Bernabei, X.Y.Zhou), pp. 962-986 in "Collection Papers of Zhou Xian Yin", Vol. II, BejingNormal Univ. Press (2002)
487. Gaussian behavior of random walks on a fluctuating lattice, (with X.Y. Zhou),pp. 1007-1030 in "Collection Papers of Zhou Xian Yin", Vol. II, Bejing NormalUniv. Press (2002)
488. On the discrete Edwards model in three dimensions, (with E. Bolthausen, X.Y.Zhou), pp. 1031-1059 in "Collection Papers of Zhou Xian Yin", Vol. II, BejingNormal Univ. Press (2002)
489. Intersection properties of random walks in four dimensions, (with X.Y. Zhou),pp. 747-777 in "Collection Papers of Zhou Xian Yin", Vol. II, Bejing NormalUniv. Press (2002)
490. Financial market with interacting assets. Pricing barrier options, (with V. Ste-blovskaya), Proc. Steklov Mat. Inst. 237, 173-184 (2002)
491. A local Liouville theorem for infinite-dimensional Hamilton-Dirac systems, (withO.G. Smolyanov, A.Yu. Khrennikov), Russ. J. Math. Phys. 9, no. 2, 123(2002)
492. A remark on the structure of symmetric quantum dynamical semigroups on vonNeumann algebras (with D. Goswami), IDAQP 5 (4), 571-579 (2002)
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493. Entanglement and separability of quantum modes, (with S. M. Fei) CC AST -WL Workshop Series 143 (2002)
494. Integrable lattice systems and Markov processes, (with S. M. Fei), Int. J. Theor.Phys. Group Theory Nonlinear Op. 9, 39-68 (2002)
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495. Quantum Teleportation: From Pure to Mixed States and Standard to Optimal,(with S. M. Fei, W. L. Yang), Foundation of Probability and Physics 2, VaxjoeUniversity Press, 37-56 (2003)
496. A representation of the Belavkin equation via Feynman path integrals, (with G.Guatteri, S. Mazzucchi), PTRF 125, 365-380 (2003)
497. Quantum stabilization in anharmonic crystals, (with Yu. Kondratiev, Yu. Kosit-sky, M. Röckner), Phys. Rev. Letts. 90, 170603-1 – 4 (2003)
498. Strong Feller properties for distorted Brownian motion and applications to finiteparticle systems with singular interactions, (with Y. Kondratiev, M. Röckner),Contemp. Math. 317, pp. 15-35 (2003)
499. Symmetrizing measures for infinite dimensional diffusions: an analytic ap-proach, (with Yu. Kondratiev, M. Röckner), pp. 475-486 in S. Hildebrandt,H. Karcher, Eds., "Geometric Analysis and Nonlinear Differential Equations",Springer, Berlin (2003)
500. On the finiteness of the discrete spectrum of four-particle lattice Schrödingeroperators, (with S.N. Lakaev, J.I. Abdullaev), Repts. Math. Phys. 51, 43-70(2003)
501. On approximations of rank one H−2-perturbations, (with V. Koshmanenko, P.Kurasov, L. Nizhnik), Proc. Amer. Math. Soc. 131, no. 5, 1443-1452 (2003)
502. Graph subspaces and the spectral shift function, (with K.A. Makarov, A.K. Mo-tovilov), Can. J. Math. 55, 449-503 (2003)
503. 2D vortex motion of an incompressible ideal fluid: the Koopman- von Neumannapproach, (with B. Ferrario), IDAQP 6, 155-165 (2003)
504. Small mass implies uniqueness of Gibbs states for quantum crystals, (with Yu.Kondratiev, Yu. Kozitski, M. Röckner), CMP 241 No 1, 69-90 (2003)
505. Stochastic differential equations on product loop manifolds, (with Z. Brzezniak,A. Daletskii), Bull. Sci. Math. 127, 649-667 (2003)
506. Stochastic Equations and Dirichlet Operators on Infinite Product Manifolds,(with A. Daletskii and Y.Kondratiev), in "Infinite Dimensional Analysis, Quan-tum Probability and Related Topics" 6, 455-488, World Scientific (2003)
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507. Generalized reduction criteria for separability of quantum states, (with K. Chen,S.M. Fei), Phys. Rev. A 68, 062313 (2003)
508. Non local properties and local invariants for bipartite systems, (with S.M. Fei,P. Parashar, W.L. Yang), Phys. Rev. A (3) 68 (2003), no. 1, 010303
509. Fine structure of the singular continuous spectrum, (with V. Koshmanenko, G.Torbin), Methods Funct. Anal. Topology 9 (2003), no. 2, 101–119
510. Theory of Dirichlet forms and applications, pp. 2-106 in Proc. École d’Été deProb. de Saint Flour 2000, Ed. P. Bernard, Lecture Notes Maths., Springer,Berlin (2003)
511. Probabilistic approach to hydrodynamic equations, (with Ya. Belopolskaya), p.1-24, in Proc. Inter. Conf. "Probabilistic Methods in Hydrodynamics", Ed. I.Davies et al., World Scient., Singapore, (2003)
512. Rank-One Singular Perturbations with Dual Pair of Eigenvalues, (with M. Dud-kin, V. Koshmanenko), Lett. Math. Phys. 63, 219-228 (2003)
513. On the Number of Negative Eigenvalues of a One-Dimensional Schrödinger Op-erator With Point Interactions, (with L. Nizhnik), Lett. Math. Phys. 65 no. 1,27-35 (2003)
514. Integrali di cammino di Feynman e misurazione quantistica, (with S. Mazzuc-chi), pp. 123-156 in D. Merlini, R. Moresi, eds., Note di matematica e fisica, 12(2003)
515. Schrödinger operators with a number of negative eigenvalues equal to the num-ber of point interactions, (with L. Nizhnik), Methods of functional analysis andtopology, Vol. 9, No. 7 273-286 (2003)
516. Schrödinger quantization of Hamilton-Dirac systems and Feynman integralsover a superspace (with O. G. Smolyanov), Dokl. Math. 67 (3), 411-415 (2003)(russ. orig.: 390, No. 6, 727-732 (2003))
517. Laplace operators in de Rham complexes associated with measures on configu-ration spaces (with A. Daletskii, Yu. Kondratiev), J. Geom. Phys. 47, 259-302(2003)
518. Associated homogeneous p-adic distributions (with A. Y. Khrennikov, V. M.Shelkovich), Dokl. Math. 68, 354-357 (2003), (russ. original: Dokl. Ross.Akad. Nauk 393, No. 3, 300-303 (2003))
519. Invariant measures of Lévy-Khinchine-type for 2D fluids, (with B. Ferrario),Proc. Swansea 2002 Workshop "Probabilistic Methods in Fluids", I.M. Davies,N. Jacob, A. Truman, O. Hassan, K. Morgan, N.P. Weatherill (eds), World Sci-entific (2003) pp. 130-143.
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520. Chern-Simons theory, Hida distributions and state models, (with A. Hahn, A.Sengupta), IDAQP, Vol. 6, 65-81 (2003), (Special Issues on Diff. Geom. andStoch. Anal. I)
521. Fine structure of the singular continuous spectrum, (with V. Koshmanenko, G.Torbin), Meth. Funct. Anal. Top. 9, 101-119 (2003)
522. Quantum teleportation: from pure to mixed state and standard to optimal,(with S. M. Fei) pp. 37-55 in "Foundations of Probability and Physics 2", Ed.A.Khrennikov, Vaxjø University Press (2003)
523. On the Recurrence and Transience of State-Dependent Branching Processes inRandom Environment, (with M. V. Kozlov), Theor. Probab. Appl. 49, 575-591(2004) (russ. orig.: Theor. Probab. Appl. 48, 641-660 (2003))
524. Infinite dimensional stochastic differential equations obtained by subordinationand related Dirichlet forms, (with B. Rüdiger), JFA 204, No. 1, 122-156 (2003)
525. On a solution of quantized non-linear equations with 4 space-time dimensions,(with M. W. Yoshida), in: Applications of renormalization methods in math-ematical sciences (Japanese), Surikaisekikenkyusho Kokyuroku (RIMS Kyoto)No. 1386, 90-101 (2003)
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527. Correction to: ’Splitting formulas for the higher and lower energy levels of theone-dimensional Schrödinger operator’, (with S.Y. Dobrohotov, E.S. Semenov),Theoretical and Mathematical Physics, vol. 141, no. 3, pp. 485 (transl. russoriginal: 1750) (2004)
528. Generalized infinite-dimensional Fresnel integrals, (with S. Mazzucchi), C. R.Acad. Sci. Paris 338, 255-259 (2004)
529. Some new developments in the theory of path integrals, with applications toquantum theory, (with S. Mazzucchi), J. Stat. Phys. 115, 191-215 (2004)
530. Lattice approximations and continuum limits of φ42-quantum fields, (with M. S.Bernabei, X. Y. Zhou), J. Math. Phys. 45, no1, 149-178 (2004)
531. Fractal probability distributions and Transformation Processes preserving theHausdorff-Besicovitch Dimension, (with M. Pratsiovity, G. Torbin), Ergod. Th.and Dyn. Syst., 24, 1-16 (2004)
532. Inverse Scattering Problem for a Dirac System With Nonstationary Point Inter-actions (with L. Nizhnik, V. Tarasov), Inverse Problems 20, 1-15 (2004)
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533. Euclidean Gibbs measures on loop lattices: Existence and a priori estimates,(with Yu. Kondratiev, T. Pasurek, M. Röckner), Ann. Prob. 32 (2004) Nr. 1,153-190
534. Uniqueness of solutions of the stochastic Navier-Stokes equation with invariantmeasure given by the enstrophy, (with B. Ferrario), Ann. Probab. 32 (2004), no.2, 1632-1649
535. On the essential self-adjointness of Wick powers of relativistic fields and of fieldsunitary equivalent to random fields, (with B. Ferrario, M.W. Yoshida), ActaAppl. Math. 80 (2004), no. 3, 309-334
536. Spectral Properties of Image Measures under the Infinite Conflict Interaction,(with V. Koshmanenko), Positivity 8 (2), (2004)
537. Schrödinger Operators on Lattices. The Efimov Effect and Discrete SpectrumAsymptotics, (with S. N. Lakaev, Z. I. Muminov), Ann. Henri Poincaré 5 (2004)743-772
538. Generalized billiards inside an infinite strip with periodic laws of reflectionalong the strip’s boundaries (with G. Galperin, I.L. Nizhnik, L.P. Nizhnik), Reg-ular and Chaotic Dynamics, (2005), 10 (3), 285-306
539. On the almost intersections of transient Brownian motions, (with S. Bernabei,X.Y. Zhou), Acta Appl. Math. 84, 1-28 (2004)
540. Pseudo-Hermiticity and theory of singular perturbations, (with S. Kuzhel), Lett.Math. Phys. 67, no. 3, 223-238 (2004)
541. Gauge fields, point interactions and few-body problems in one dimension, (withS.-M. Fei, P. Kurasov), Rep. Math. Phys. 53, no. 3, 363-370 (2004)
542. On a variant of Abstract Scattering Theory in Terms of Quadratic Forms, (withV. Koshmanenko, S. Kuzhel), Reports on Math. Phys., 54, no. 3, 309-325 (2004)
543. A model of the term structure of interest rates based on Lévy fields (with E.Lytvynov, A. Mahnig), Stoch. Proc. Appl. Vol. 114/2, 251-263 (2004)
544. A Hierarchical Model of Quantum Anharmonic Oscillators: Critical Point Con-vergence, (with Y. Kondratiev, A. Kozak, Y. Kozitsky), Commun. Math. Phys.251, 1-25 (2004)
545. Solution of Schrödinger Equations for Finite-Dimensional Dirac Hamilto-nian Systems with Polynomial Hamiltonians, (with O. G. Smolyanov, E. T.Shavgulidze), Dokl. Math. Vol. 70, No. 1, 520-523 (2004) (transl.; russ. origin.:Dokl. Akad. Nauk 397, 151-154 (2004))
546. A Representation of the Belavkin Equation Via Phase Space Feynman Path Inte-grals, (with G. Guatteri, S. Mazzucchi), IDAQP, Vol. 7, No. 4, 507-526 (2004)
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547. A Schrödinger Operator with Point Interactions on the Sobolev Spaces, (with L.Nizhnik), Lett. Math. Phys. No. 70, 185-194 (2004)
548. On coincidence of types of a real AW ∗-algebra and its complexification (withSh.A. Ayupov, A.Kh. Abduvaitov), Izv. Math., 68, no. 5, 851-860 (2004) (russ.orig.: Izvestia RAN, 68, no. 5, 3-12 (2004))
549. Equivalence of bipartite quantum mixed states under local unitary transforma-tions, (with S.M. Fei, X.H. Wang), pp. 20-30 in Recent Developments in Sto-chastic Analysis and Related Topics, Proc. ICM Satellite Conf. Sino-GermanCentre, Beijing, 2002, Ed. S. Albeverio, Z.M. Ma, M. Röckner, Beijing (2004)
550. Associative algebras of p-adic distributions, (with A. Khrennikov, V.Shelkovich), Proceedings of the Steklov Institute of Mathematics, v. 245, No.2, 22-33 (2004) (russ. origin.: Tr. Mat. Inst. Stekl. 245, 29-40 (2004))
551. Invariant Gibbs measures for the 2D vortex motion of fluids, (with B. Ferrario),Recent developments in stochastic analysis and related topics, 31-44, World Sci.Publ., Hackensack, NJ (2004)
552. Rigorous Feynman path integrals, with applications to quantum theory, gaugefields, and topological invariants, (with A. Hahn, A. Sengupta), Stoch. Analysisand Math. Physics, 1-60, World Sci. Publishing, River Edge, NJ (2004)
553. A remark on different lattice approximation and continuum limits for Φ42-fields,
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554. A new lattice approximation for Høegh-Krohn’s quantum field model, (with S.Liang), Rep. Math. Phys. 54, No. 2, 149-157 (2004)
555. The Aronszajn-Donoghue theory for rank one perturbations of the H−2 class,(with A. Konstatinov, V. Koshmanenko), Integr. Eqts. Oper. Th. 50, No. 1, 1-8(2004)
556. Homogenization of infinite dimensional diffusion processes with periodic driftcoefficients, (with M.S. Bernabei, M. Röckner, M.W. Yoshida), in: T. Hida,K. Saitô, S. Si, eds., Quantum Information and Complexity, Proceedings of theMeijo Winter School 2003, 138-165 (2004)
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557. Quasiregular representations of infinite-dimensional Borelian Group, (with A.Kosyak), J. Funct. Anal. Vol. 218/2, 445-474 (2005)
558. Euclidian Gibbs Measures of Quantum Crystals: Existence, Uniqueness and aPriori Estimates, (with Yu. Kondratiev, T. Pasurek and M. Röckner), in ’Interact-ing Stochastic Systems’, Edts. J.-D. Deuschel, A. Greven, pp. 29-54, Springer(2005)
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559. Generalized Fresnel integrals, (with S. Mazzucchi), Bull. Sci. Math. 129, 1-23(2005)
560. Non-linear singular problems of p-adic analysis: associative algebras of p-adicdistributions (with A. Khrennikov, V.M. Shelkovich), Izv. Math., 69, no. 2, 221-263 (2005) (transl.; Russ. origin.: Izv. Ross. Akad. Nauk Ser. Mat., 69, no. 2,3-44 (2005))
561. Feynman path integrals for polynomially growing potentials, (with S. Mazzuc-chi), J. Funct. Anal., 221, no. 1, 83-121 (2005)
562. p-adic Colombeau-Egorov type theory of generalized functions, (with A.Yu.Khrennikov, V.M. Shelkovich), Math. Nachr. 278, no. 1-2, 3-16 (2005)
563. Asymptotic expansions for the Laplace approximation of sums of Banach space-valued random variables, (with S. Liang), Ann. Probab. , 33, no. 1, 300-336(2005)
564. On nilpotent and simple Leibniz algebras, (with Sh. Ayupov, B. Omirov), SFB611 Rep. No 36, Commun. Algebra, 33, no. 1, 159-172 (2005)
565. Inverse spectral problems for Sturm-Liouville operators in impedance form,(with R. O. Hryniv, Ya. U. Mykytyuk), J. Funct. Anal., 222, no. 1, 143-177(2005)
566. Local invariants for a class of mixed states, (with S.-M. Fei, D. Goswami), Phys.Lett. A, 340, no. 1-4, 37-42 (2005)
567. A remark on Krein’s resolvent formula and boundary conditions, (with K.Pankrashkin), J. Phys. A, 38, 4859-4864 (2005)
568. Fractal properties of singular probability distributions with independent Q∗-Digits, (with G. Torbin), Bull. Sci. Math., 129, no. 4, 356-367 (2005)
569. A limit theorem for the Wick exponential of the free Lattice Fields, (with S.Liang), Markov Process. Related Fields, 11, no. 1, 157-164 (2005)
570. Systems of classical particles in the grand canonical ensemble, scaling limitsand quantum field theory, (with H. Gottschalk, M. Yoshida), Rev. Math. Phys.17, no. 2, 175-226 (2005)
571. Riquier problem for nonlinear elliptic equations with Lévy Laplacians, (with Y.Belopolskaya, M. Feller), Methods Funct. Anal. Topology, 11, no. 1, 1-9 (2005)
572. Subordination of symmetric quasi-regular Dirichlet forms, (with B. Rüdiger),Random Oper. Stochastic Equations, 13, no. 1, 17-38 (2005)
573. Homogenization in random Dirichlet forms, (with M.S. Bernabei), Stoch. Anal.Appl., 23, no. 2, 341-364 (2005)
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574. Stochastic integrals and the Lévy-Ito decomposition on separable Banachspaces, (with B. Rüdiger), Stoch. Anal. Appl., 23, no. 2, 217-253 (2005)
575. Concurrence of arbitrary dimensional bipartite quantum states, (with K. Chen,S.-M. Fei), Phys. Rev. Lett., 95, no. 4, 040504 (2005)
576. Reconstructing the drift of a diffusion from partially observed transition proba-bilities, (with C. Marinelli), Stochastic Processes Appl., 115, no. 9, 1487-1502(2005)
577. Decompositions of singular continuous spectra ofH−2-class rank one perturba-tions, (with V. Koshmanenko, A. Konstantinov), Integral Equations Oper. The-ory, 52, 455-464 (2005)
578. Inverse spectral theory for symmetric operators with several gaps: scalar-typeWeyl functions, (with J.F. Brasche, M. Malamud, H. Neidhardt), J. Funct. Anal.,228, no. 1, 144-188 (2005)
579. On realAW ∗-algebras, (with Sh.A. Ayupov, A.H. Abduvaitov), Methods Funct.Anal. Topol., 11, no. 2, 99-112 (2005)
580. Generalized billiards inside an infinite strip with periodic laws of reflectionalong the strip’s boundaries, (with G. Galperin, I.L. Nizhnik, L.P. Nizhnik),Regul. Chaotic Dyn., 10, no. 3, 285-306 (2005)
581. Inverse spectral problems for Dirac operators with summable potentials, (withR. Hryniv, Y. Mykytyuk), Russ. J. Math. Phys., 12, no. 4, 406-423 (2005)
582. On quasimodes of small diffusion operators corresponding to stable invarianttori with non-regular neighborhoods, (with S. Dobrokhotov, M. Poteryakhin),Asymptotic Anal., 43, no. 3, 171-203 (2005)
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584. Associative algebras of p-adic distributions, (with A. Yu. Khrennikov, V. M.Shelkovich), Izv. Ross. Akad. Nauk Ser. Mat., 69, 3-44 (2005)
585. Singular probability distributions and fractal properties of sets of real numbersdefined by the asymptotic frequencies of their s-adic digits, (with M. Pratsiovytyi,G. Torbin), Ukr. Math. J., 57, no. 9, 1163-1172 (2005) (transl. Ukr. Math. J. 57,No 9, 1361-1370 (2005)
586. Topological and fractal properties of real numbers which are not normal, (withM. Pratsiovytyi, G. Torbin), Bull. Sci. Math. 129, no. 8, 615-630 (2005)
587. On ∗-representations of a deformation of a Wick analogue of the CAR algebra,(with D. Proskurin, L. Turowska), Rep. Math. Phys., 56, no. 2, 175-196 (2005)
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588. Entanglement and decoherence: mathematics and physics of quantum infor-mation and computation. Abstracts from the workshop held January 23–29,2005. Organized by Sergio Albeverio, Gianfausto Dell’Antonio and FrancescoDe Martini, Oberwolfach Rep., 2, no. 1, 185-255 (2005)
589. On the delta-shock front problem, (with V. Shelkovich), in: O.S. Rozanova, ed.,Analytical Approaches to Multidimensional Balance Laws, Nova Science Pub-lishers, Hauppage NY (2005)
590. Probabilistic interpretation of the VV-method for PDE systems, (with Y. Belopol-skaya), in: O.S. Rozanova, ed., Analytical Approaches to Multidimensional Bal-ance Laws, Nova Science Publishers, Hauppage NY (2005)
591. p-Adic Schrödinger equation with singular potentials, (with A. Khrennikov, V.Shelkovich), in: B. Dragovic, Z. Rakic, eds., Abstracts of the Second Interna-tional Conference on p-Adic Mathematical Physics, Institute of Physics, Bel-grade (2005)
592. On a localization property of wavelet coefficient for the processes withstationary-increments and applications. I. Localization with respect to shift,(with S. Kawasaki), Adv. in Appl. Probab., 37, no. 4, 938-962 (2005)
593. Multipartite states under local unitary transformations, (with L. Cattaneo, S.-M.Fei, X. H. Wang), Rep. Math. Phys., 56, no. 3, 341-350 (2005)
594. Entanglement of formation of bipartite quantum states, (with K. Chen, S.-M.Fei), Phys. Rev. Lett., 95, no. 21, 210501 (2005)
595. On inverse spectral theory of singularly perturbed operators: point spectrum,(with A. Konstantinov, V. Koshmanenko), Inverse Problems, 21, no. 6, 1871-1878 (2005)
596. Homogenization with respect to Gibbs measures for periodic drift diffusions onlattices, (with M. S. Bernabei, M. Röckner, M. W. Yoshida), C. R. Math. Acad.Sci. Paris, 341, no. 11, 675-678 (2005)
597. Feynman path integrals for the time dependent quartic oscillator, (with S. Maz-zucchi), C. R. Math. Acad. Sci. Paris, 341, no. 10, 647-650 (2005)
598. Dense subspaces in scales of Hilbert spaces, (with R. Bozhok, M. Dudkin, V.Koshmanenko), Methods Funct. Anal. Topol., 11, no. 2, 156-169 (2005)
599. Varieties of nilpotent complex Leibniz algebras of dimension less than five, (withB.A. Omirov, I.S. Rakhimov), Commun. Algebra, 33, no. 5, 1575-1585 (2005)
600. One-dimensional Schrödinger operators with P -symmetric zero-range poten-tials, (with S. Kuzhel), J. Phys. A, 38, no. 22, 4975-4988 (2005)
601. Dynamics of discrete conflict interactions between non-annihilating opponents,(with M. Bodnarchyk, V. Koshmanenko), Methods Funct. Anal. Topol., 11, no.4, 309-319 (2005)
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603. Price Operators Analysis in Lp-Spaces, (with G. Di Nunno, Yu.A. Rozanov),Acta Appl. Math., 89, no. 1-3, 85-108 (2005)
604. Equivalence of tripartite quantum states under local unitary transformations,(with Cattaneo, L.; Fei, S.-M.; Wang, X.-H.), Int. J. Quantum Inform. 03, 603(2005)
605. Multipartite entangled state representation and its squeezing transformation,(with S.-M. Fei, T.-Q. Song), Physics Letters A, Volume 338, Issue 3, 182-191(2005)
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606. The threshold effects for the two-particle Hamiltonians on lattices, (with S.N.Lakaev, K.A. Makarov, Z.I. Muminov), Commun. Math. Phys., 262, no. 1,91-115 (2006)
607. Pseudo-differential operators in the p-adic Lizorkin space, (with A. Khrennikov,V. Shelkovich), in: B. Dragovich, Z. Rakic, eds.,pp. 195-205, p-Adic mathemat-ical physics. 2nd international conference, Belgrade, Serbia and Montenegro,15-21 September 2005,AIP Conf Proc., 826,Amer. Inst. Phys., Melville NY(2006)
608. Associated homogeneous p-adic distributions, (with A. Khrennikov, V.Shelkovich), J. Math. Anal. Appl., 313, no. 1, 64-83 (2006)
609. A Schrödinger Operator with a δ′-interaction on a Cantor set and Krein-Felleroperators, (with L. Nizhnik), Math. Nachr., 279, no. 5-6, 467-476 (2006)
610. Prolongation structure of the (2 + 1)-dimensional integrable Heisenberg ferro-magnet model, (with Y. Zhai, W.-Z. Zhao, K. Wu), J. Phys. A: Math. Gen. 392117-2126 (2006)
611. A numerical analysis of the extended Black-Scholes model, (with A. Popovici, V.Steblovskaya), Int. J. Theor. Appl. Finance, 9, no. 1, 69-89 (2006)
612. Remark on the integration by parts formula for the φ43-quantum field model, (withS. Liang, B. Zegarlinski), IDAQP, 9, no. 1, 149-154 (2006)
613. Probabilistic approach to systems of nonlinear PDEs and vanishing viscositymethod, (with Ya. Belopolskaya), Markov Process. Relat. Fields, 12, no. 1,59-94 (2006)
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614. The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian,(with Ya. Belopolskaya, M. Feller), Potential Anal., 24, no. 2, 125-136 (2006)
615. Matrix tensor product approach to the equivalence of multipartite quantumstates under local unitary transformations, (with X.-H. Gao, S.-M. Fei, Zh.-X.Wang), Commun. Theor. Phys., 45, 267-270 (2006)
616. Spectral properties of image measures under infinite conflict interactions, (withV. Koshmanenko, M. Pratsiovytyi, G. Torbin), Positivity, 10, no. 1, 39-49 (2006)
617. The time dependent quartic oscillator a Feynman path integral approach (withS. Mazzucchi), J. Funct. Anal. 238, 471-488 (2006)
618. Probability and quantum symmetries II. The theorem of Noether in quantum me-chanics (with J. Rezende, J. C. Zambini), J. Math. Phys. 47, No 6, 062107-062168 (2006)
619. A model with interacting assets driven by Poisson processes, (with V. Ste-blovskaya, M. Schmitz, K. Wallbaum), Stoch. Anal. Appl., 24, no. 1, 241-261(2006)
620. Quasiregular representations of the infinite-dimensional nilpotent group, (withA. Kosyak), J. Funct. Anal., 236, no. 2, 634-681 (2006)
621. Cartan subalgebras, weight spaces and criterion of solvability of finite dimen-sional Leibniz algebras, (with Sh. Ayupov, B.A. Omirov), Rev. Mat. Complut.,19, no 1, 183-195 (2006)
622. Mathematical methods and concepts for the analysis for extreme events, (with V.Piterbarg), in: S. Albeverio, V. Jentsch, H. Kantz, eds., Extreme events in natureand society, Springer, Berlin, 47-68 (2006)
623. Lévy-Dirichlet forms, (with Ya. Belopolskaya, M. Feller), IDAQP, 9, no. 3,435-450 (2006).
624. Lévy-Dirichlet forms. II, (with Ya. Belopolskaya, M. Feller), Methods Funct.Anal. Topol., 12, no. 4, 302-314 (2006)
625. A combinatorial infinitesimal representation of Lévy processes and an applica-tion to incomplete markets, (with F.S. Herzberg), Stochastics, 78, no. 5, 301-325(2006).
626. Lifting Lévy processes to hyperfinite random walks, (with F.S. Herzberg), Bull.Sci. Math., 130, no. 8, 697-706 (2006)
627. A distributional approach to multiple stochastic integrals and transformations ofthe Poisson measure, (with N.V. Smorodina), Acta Appl. Math., 94, no. 1, 1-19(2006)
628. On partially ordered real involutory algebras, (with Sh. Ayupov, P. Dadakhod-jayev), Acta Appl. Math., 94, no. 3, 195-214 (2006)
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629. ∗-Wildness of some classes of C∗-algebras, (with E. Jushenko, D. Proskurin, Yu.Samoilenko), Methods Funct. Anal. Topol., 12, no. 4, 315-325 (2006)
630. L2 Betti numbers of infinite configuration spaces, (with A. Daletskii), Publ. Res.Inst. Math. Sci. (RIMS), 42, no. 3, 649-682 (2006)
631. Quantum fields with indefinite metric: Nontrivial models, (with H. Gottschalk),in: J.-P- Françoise, G. Naber, Sh. Ts. Tsou, eds., Encyclopedia of MathematicalPhysics, Elsevier, Amsterdam, 216-221 (2006)
632. Jessen-Wintner type random variables and fractal properties of their distribu-tions, (with Ya. Gontcharenko, M. Pratsiovytyi, G. Torbin), Math. Nachr., 279,no. 15, 1619-1633 (2006)
633. Harmonic analysis in the p-adic Lizorkin spaces: fractional operators, pseudo-differential equations, p-adic wavelets, Tauberian theorems, (with A.Yu. Khren-nikov, V.M. Shelkovich), J. Fourier Anal. Appl., 12, No. 4, 393-425 (2006)
634. On some integral equations in Hilbert space with an application to the theory ofelasticity, (with S. Alimov), Integral Equations Oper. Theory, 55, No. 2, 153-168(2006)
635. Two-setting Bell inequalities for many qubits, (with K. Chen, S.-M. Fei), Phys.Rev. A, 74, 050101(R) (2006)
636. Classification of 4-dimensional nilpotent complex Leibniz algebras, (with B.A.Omirov, I.S. Rakhimov), Extracta Math., 21, no. 3, 197-210 (2006)
637. Concurrence-based entanglement measure for Werner states, (with K. Chen, S.-M. Fei), Rep. Math. Phys., 58, no. 3, 325-334 (2006)
638. Feynman path integrals for time-dependent potentials, (with S. Mazzucchi), in:G. Da Prato et al., eds., Stochastic partial differential equations and applications– VII, Papers of the 7th meeting, Levico, Terme, Italy, January 2004. LectureNotes in Pure and Applied Mathematics 245, Chapman & Hall/CRC, Boca Ra-ton, FL, 7-20 (2006)
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640. Existence and a priori estimates for Euclidean Gibbs states, (with Y. Kondratiev,T. Pasurek, M. Röckner) Trans. Moscow Math. Soc., 67, 1-85, (2006) (transl. ofTr. Mosk. Mat. Obs. 67, 3-103 (2006))
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649. Müntz formula and zero free regions for the Riemann zeta function, (with C.Cebulla), Bull Sci. Math., 131, no. 1, 12-38 (2007)
650. On functions on graphs and representations of a certain class of ∗-algebras,(with V. Ostrovskyi, Yu. Samoilenko), J. Algebra, 308, 567-582 (2007)
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654. Local equivalence for a class of bipartite quantum mixed states, (with X.H.Wang, L. Cattaneo, S.M. Fei), Foundations of Probability and Physics 4, AIPConference Proceedings 889, 294-298 (2007)
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655. On the point spectrum ofH−2-singular perturbations (with M. Dudkin, A. Kon-stantinov, V. Koshmanenko), Math. Nachr., 280, no. 1-2, 20-27 (2007)
656. On the structure of the essential spectrum for the three-particle Schrödinger op-erators on lattices, (with S.N. Lakaev, Z.I. Muminov), Math. Nachr., 280, no. 7,699-716 (2007)
657. Coupling in the singular limit of thin quantum waveguides, (with C. Cacciapuoti,D. Finco), J. Math. Phys., 48, no. 3, 032103, 21 p. (2007)
658. Reconstruction of radial Dirac operators, (with R. Hryniv, Ya. Mykytyuk), J.Math. Phys., 48, no. 4, 043501, 14 pp. (2007)
659. The a priori tan θ theorem for eigenvectors, (with A. K. Motovilov, A. V. Selin),SIAM J. Matrix Analysis & Applications, 29, no. 2, 685-697 (2007)
660. A generalization of an extended stochastic integral, (with Yu.M. Berezansky,V.A. Tesko), Ukr. Math. J., 59, no. 5, 588-617 (transl. 645-677) (2007)
661. The Efimov effect for a model operator associated with the Hamiltonian of a nonconserved number of particle, (with S.N. Lakaev, T.H. Rasulov), Methods Funct.Anal. Topol., 13, no. 1, 1-16 (2007)
662. Schrödinger operators with nonlocal point interactions, (with L. Nizhnik), J.Math. Anal. Appl., 332, no. 2, 884-895 (2007)
663. Local invariants for a finite multipartite quantum system (with L. Cattaneo, L.Di Persio), Reports on Math. Phys., 60, no. 2, 167-174 (2007)
664. Traces of semigroups associated with interacting particle systems, (with A.Daletskii, A. Kalyuzhnyi), J. Funct. Anal., 246, 196-216 (2007)
665. Non-commutative Arens algebras and their derivations, (with Sh.A. Ayupov,K.K. Kudaybergenov), J. Funct. Anal., 253, 287-302 (2007)
666. Local equivalence of rank-two quantum mixed states, (with S.M. Fei, D.Goswami), J. Phys. A: Math. Theor., 40, 11113-11117 (2007)
667. Theory and applications of infinite dimensional oscillatory integrals, (with S.Mazzuchi), pp. 73-92 in "Stochastic Analysis and Applications", Proc. AbelSymp. 2005 in honor of Prof. Kiyosi Ito, Springer, Berlin (2007)
668. On the number of eigenvalues of a model operator associated to a system ofthree-particles on lattices (with S.N. Lakaev, Z.I. Muminov), Russian J. MathPhys., 14, no. 4, 401-415 (transl. 377-387) (2007)
669. Multiresolution wavelet analysis of integer scale Bessel functions, (with P.E.T.Jorgensen, A.M. Paolucci), J. Math. Phys., 48, 073516, 1-24 (2007)
670. Singularly perturbed self-adjoint operators in scales of Hilbert spaces, (with S.Kuzhel, L. Nizhnik), Ukr. Math. J., 59, 723-743 (transl. 787-810) (2007)
53
671. Inverse spectral problems for coupled oscillating systems, (with P.A. Binding, R.Hryniv, Ya. Mykytyuk), Inverse Problems, 23, 1181-1200 (2007)
672. Inverse spectral problems for non-local Sturm-Liouville operators, (with R. O.Hryniv, L. P. Nizhnik), Inverse Problems, 23, 523-535 (2007)
673. The Ostrogradsky series and related Cantor-like sets, (with O. Baranovskyi,M.Pratsiovytyi, G. Torbin), Acta Arith., 130 , 215-230 (2007)
674. Lévy processes and their subordination in matrix Lie groups, (with M. Gordina),Bull. Sci. Math., 131, 738-760 (2007)
675. A rigorous approach to the Feynman Vernon influence functional and its appli-cations I, (with L. Cattaneo, S. Mazzucchi, L. Di Persio), J. Math. Phys., 48,102109-102131 (2007)
676. Synchronizability of stochastic network ensembles in a model of interacting dy-namical units, (with C. Cebulla), Physica A Stat. Mech. Appl. 386, 503-512(2007)
677. New Renormalization for the Field Operators on Constructive QFT by means ofthe Hida Product (with M. W. Yosida), RIMS Kyoto Kôkyûroku, Applicationsof Renormalization Group Methods in Mathematical Sciences, Sept. (2007)
678. On the Hida Product and QFT with interactions, (with M. W. Yosida), RIMS Ky-oto Kôkyûroku Press, Micro-Macro Duality in Quantum Analysis, Oct. (2007)
679. Inverse spectral problems for Bessel operators, (with R. Nryniv, Ya. Mykytyuk),J. Diff. Equat. 241, No. 1, 130-159 (2007)
680. Inverse spectral problems for coupled oscillating systems: reconstruction fromthree spectra, (with R. Nryniv, Ya. Mykytyuk), Meth. Funct. Anal. Topology13, N0. 2, 110-123 (2007)
681. On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymp-totics, (with S. Lakaev, T. H. Rasulov) J. Stat. Phys. 127 (2), 191-220 (2007)
682. Vladimir A. Geyler April 29, 1943-April 2, 2007 , (with J. Brüning, S. Do-brokhotov, P. Exner, V. Koshmanenko, K. Pankrashkin, B. Pavlov, I. Popov andP. S tovícek) Russ. J. Math. Phys., 14(4), 371-376 (2007)
683. p-adic semilinear evolution pseudodifferential equations in Lizorkin spaces(Russian) , (with Khrennikov, A. Yu., Shelkovich, V.M. ) Dokl. Akad. Nauk415 (2007), no 3, 295-299; transl. Dokl. Math. 76 (2007), 539-543
684. The number of eigenvalues of three particle Schrödinger operators on lattices. ,(with G. F. Dell’ Antonio, S. N. Lakaev) J. Phys. A 40 (2007), no 49, 14819-14842
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685. Homogenization of diffusions on the lattice Z2 with periodic drift coefficients,applying a logarithmic Sobolev inequality or a weak Poincaré inequality., (withBernabei, M. Simonetta ; Röckner, Michael; Yoshida, Minoru W.) StochasticAnalysis and applications, 53-72, Abel Symp. 2, Springer, Berlin (2007)
2008
686. p-Adic Schrödinger-type operators with point interactions, (with S. Kuzhel, S.Torba), J. Math. Anal. Appl., 338, 1267-1281, (2008)
687. Reconstruction of radial Dirac and Schrödinger operators from two spectra,(with R. Hryniv, Ya. Mykytyuk), J. Math. Anal. Appl., 339, 45-57 (2008)
688. Optimisation of measures on a hyperfinite adapted probability space, (with F.S.Herzberg), Acta Appl. Math., 100, 1-14, (2008)
689. The moment problem on the Wiener space, (with F. Herzberg) Bull. Sci. Math.,132 7-18 (2008)
690. Reflection positive random fields and Dirichlet spaces, (with M. W. Yosida),RIMS Kôkyûroku Bessatsu B6: Proceedings of RIMS Workshop on StochasticAnalysis and Applications, eds. M Fukushima and I. Shigekawa, 15-29 (2008)
691. A remark on the nonequivalence of the time-zero Φ43-measure with free field mea-
sure, (with S. Liang), Markov Processes Rel. Fields 14, 159-164 (2008)
692. Derivations on the Algebra of τ -Compact Operators Affiliated with a Type I vonNeumann Algebra, (with Sh. A. Ayupov, K. K. Kudaybergenov), Positivity 12,375-386 (2008)
693. Derivations on the Algebra of Measurable Operators Affiliated with a Type Ivon Neumann Algebra, (with Sh. A. Ayupov, K. K. Kudaybergenov), Sib. Adv.Math. 18(2), 86-94 (2008)
694. On a Time-Optimal Control Problem Associated with the Heat Exchange Pro-cess, (with S. Alimov), Appl. Math. Optim. 57, 58-68 (2008)
695. n-Dimensional filiform Leibniz algebras of length (n− 1) and their derivations,(with Sh. A Ayupov, B. A. Omirov, A. Kh. Khudoyberdiyev), J. Algebra 319,2471-2488 (2008)
696. On Classification of Singular Measures and Fractal Properties of Quasi-Self-Affine Measures in R2, (with V. Koval, M. Pratsiovytyi, G. Torbin), RandomOperators/Stochastic Eqs. 16, 181-211 (2008)
697. On certain properties of the spaces of order-preserving functionals, (with Sh. A.Ayupov, A. A. Zaitov) Topology and its Applications 155, 1792-1799 (2008)
698. On spectra of non-self-adjoint Sturm-Liouville operators, (with R. Hryniv, Ya.Mykytyuk) Sel. math. New ser. 13, 571-599 (2008)
55
699. Entaglement of formation and concurrence for mixed states, (with X. Gao, K.Chen, S. Fei, X. Li-Jost) Front. Comput. Sci. China, 2(2), 114-128 (2008)
700. Stochastic Dynamics of Viscoelastic Skeins: Condensation Waves and Contin-uum Limits, (with W. Alt) Mathematical Models and Methods in Applied Sci-ences 18, suppl., 1149-1191 (2008)
701. The Conflict Interaction between two complex systems. Cyclic Migration, (withV. Koshmanenko, I. Samoilenko), J. Interdiscip. Math. 11 (2), 163-185 (2008)
702. Boundary problems for fully nonlinear parabolic equations with Lévy Laplacian,(with Ya. Belopolskaya, M. Feller) Methods Funct. Anal. Topology 14 (1), 1-9(2008)
703. Transformations preserving the Hausdorff-Besicovitch dimensions, (with M.Pratsiovytvi, M. Torbin) Cent. Eur. J. Math. 6 (1), 119-128 (2008)
704. A Model for Urban Growth Processes with Continuous State Cellular Automata,multi-agents and Related Differential Equations. Part 1: Theory, (with A.Vancheri, P. Giordano, D. Andrey) Environment and Planning B: Planning andDesign, 35 (4), 723-739 (2008)
705. A Model for Urban Growth Processes with Continuous State Cellular Automata,multi-agents and Related Differential Equations. Part 2: Computer Simulation,(with A. Vancheri, P. Giordano, D. Andrey) Environment and Planning B: Plan-ning and Design, 35, doi:10.1068/b31080b (2008)
706. On the perturbation theory of self-adjoint operators, (with S. Khuzel, L.P. Nizh-nik) Tokyo J. Math., 31, 273-292 (2008)
707. On fine fractal properties of generalized infinite Bernoulli convolutions, (with G.Torbin) Bull. Sci. math., 132, 711-727 (2008)
708. Uniqueness of the generators of the 2-D Euler and Navier-Stokes flows, (withV. Barbu, B. Ferrario), Stochastic Process. Appl., 118 (11), 2071-2084 (2008), (see also Erratum, same Journal 120, 2010, 2102)
709. Jump processes on leaves of multibranching trees, (with W. Karwowski), J.Math. Phys., 49 (9), 093503 22pp (2008)
710. On the absolutely continuous spectrum of block operator matrices , (with Kon-stantinov, A. ) Math. Nachr. 281 (2008), no 8, 1079-1087
711. Random Witten Laplacians : traces of semigroups, L2-Betti numbers and index., (with Daletskii Alexei, Kalyuzhnyi Alexander), J. Eur. Math.Soc. (JEMS) 10(2008), no 3, 571-599.
712. A distributional approach to multiple stochastic integrals and transformations ofthe Poisson measure., (with Smorodina, N. V.), II. Acta Appl. Math. 102 (2008),no 2-3, 319-343
56
713. Some methods of infinite dimensional analysis in hydrodynamics : an introduc-tion., (with Ferrario, B. ), in "SPDE in hydrodynamic : recent progress andprospects", Cetraro Lectures, pp 1-50 Lecture Notes in Math., 1942, SpringerBerlin (2008)
714. Boundary problems for nonlinear parabolic equations with Lévy Laplacian,(with Ya. Belopolskaya, M. Feller), Methods Funct. Anal. Topology 14, no.1, 1-9 (2008)
2009
715. J-self-adjoint operators with C-symmetries: an extension theory approach,(with U. Günther and S. Kuzhel) J. Phys. A: Math. Theor.,A 42, 105205, 22pp(2009)
716. An asymptotic functional-integral solution for the Schrödinger equation withpolynomial potential, (with S. Mazzucchi) J. Func. Anal., 257, 1030-1052,(2009)
717. On the classification of complex Leibniz superalgebras with characteristic se-quence (n−1, 1|m1, . . . ,mk) and nilindex n+m., (with B. A. Omirov and Kh.Khudoyberdiyev) J. Algebra and its Applications, 8 (4), 461-475 (2009)
718. Hida distribution construction of non-gaussian reflection positive generalizedrandom fields, (with M. W. Yosida) Infinite Dimensional Analysis, QuantumProbability and Related Topics, 12 (1), 21-49 (2009)
719. Remarks on the inverse spectral theory for singularly perturbated operators,(with A. Konstantinov and V. Koshmanenko) Modern Anal. Appl. The MarkKrein centenary conference volume I Operator Theory: Advances and Applica-tions, 190, 115-122 (2009)
720. The set of incomplete sums of the first Krein Ostrogradsky series and anoma-lously fractal probability distributions on it, (with O. Baranovskyi, M. Pratsiovy-tyi, G. Torbin), Revue Roumaine de Mathématiques Pures et Appliquées, 54 (2),85-115 (2009)
721. Frames of p-Adic Wavelets and Orbits of the Affine Group, (with S. V. Kozyrev)Ultrametric Analysis and Applications, 1 (1), 18-33 (2009)
722. Cartan subalgebras of Leibniz n-algebras, (with Sh.A. Ayupov, B. A. Omirovand Kh. Khudoyberdiyev), Comm. Algebra 37, 2080-2096 (2009)
723. Asymptotic expansion of perturbative Chern-Simons theory via Wiener space,(with I. Mitoma) Bull. Sci. Math., 133 (3), 272-314 (2009)
724. Structure of derivations on various algebras of measurable operators for typeI von Neumann algebras, (with Sh.A. Ayupov, K.K. Kudaybergenov) J. FunctAnal., 256 (9), 2917-2943 (2009)
57
725. Existence of mild solutions for stochastic differential equations and semilinearequations with non-Gaussian Lévy noise, (with V. Mandrekar, B. Rüdiger), Sto-chastic Process. Appl., 119 (3), 835-863 (2009)
726. Radial multiresolution, Cuntz algebras representations and an application tofractals, (with A.M. Paolucci), Complex Anal.Oper. Theory, 3 (1), 1-18 (2009)
727. Asymptotic expansion of semi-Markov random evolutions, (with V.S. Koroliuk,I.V. Samoilenko) Stochastics 81, 477-502 (2009)
728. Algebras of unbounded operators over the ring of measurable functions and theirderivations and automorphisms, (with Ayupov, Sh.A. ; Zaitov, A.A. ; Ruziev,J.E.) Methods Funct. Anal. Topology 15 (2009), no 2, 177-187
729. Valuation of equity-linked life insurance contracts using a model with interact-ing assets, (with S. Steblovskaya and K. Wallbaum), Stochastic Analysis andApplications 27 (2009), no 5, 1077-1095
730. Asymptotic behavior of the sample mean of a function of the Wiener process andthe Macdonald function (with Fatalov, Vadim ; Peterbarg, Vladimir I.) J. Math.Sci. Univ. Tokyo 16 (2009), no 1, 55-93
731. Bounds on variation of spectral subspaces under J-self-adjoint perturbations.,(with Motovilov, Alexander K. ; Shkalikov, Andrei A.) Integral Equations Oper-ator Theory 64 (2009), no 4, 455-486.
732. The statistical mechanics of quantum lattice systems. A path integral approach.,(with Kondratiev, Yuri ; Kozitsky, Yuri ; Röckner, Michael) EMS Tracts in Math-ematics, 8. European Mathematical Society (EMS), Zürich, 2009 xiv+379 pp.
733. The essential and discrete spectrum of a model operator associated to a systemof three identical quantum particles, (with Lakaev, Saidakhmat N. ; Djumanova,Ramiza Kh.) Rep. Math. Phys. 63 (2009), no 3, 359-380
734. Factorisation of non-negative Fredholm operators and inverse spectral problemsfor Bessel operators., (with Mazzucchi, S.) Integral Equations Operator Theory64 (2009), no 3, 301-323
735. The non-viscous Burgers equation associated with random position in coordinatespace : a threshold for blow up behaviour., (with Rozanova, O. ) Math. ModelsMethods Appl. Sci. 19 (2009), no 5, 749-767
736. Bound of entanglement of assistance and monogamy constraints, (with Zong-Guo Li, Shao-Ming Fei, W.M. Liu), Physical Review Vol. 80, Issue 3 (2009)
737. p-Adic nonorthogonal wavelet bases, (with S. Evdokimov, M. Skopina) Proceed-ings of the Steklov Institute of Mathematics, Vol. 265 Issue 1 pp. 1-12 (2009) ;translation from Tr. Mat. Inst. Steklova 265, 7-18 (2009)
58
738. Multidimensional ultrametric pseudodifferential equations, (with S. V. Kozyrev)Proceedings of the Steklov Institute of Mathematics, Vol. 265 Issue 1 pp. 13-29(2009)
739. Algebraic aspects of multidimensional δ-shocks and singularities of flux-functions, (with V.M. Shelkovich) Days on Diffraction 13-24 (2009)
740. Infinite dimensional oscillatory integrals with polynomial phase function and thetrace formula for the heat semigroup, (with S. Mazzucchi), Astérisque 327, 17-46 (2009), Volume in honour of the 60th birthday of Jean-Michel Bismut, FromProbability to Geometry I, Eds. X. Dai, R. Léandre, X. Ma, W. Zhang)
741. Stochastic processes in Qp associated with systems of nonlinear PIDEs, (withBelopolskaya, Yana), p-Adic Numbers Ultrametric Anal. Appl. 1 (2009), no. 2,105-117
742. p-adic valued quantization, (with Cianci, R.; Khrennikov, A. Yu), p-Adic Num-bers Ultrametric Anal. Appl. 1 (2009), no. 2, 91-104
743. Operator calculus for p-adic valued symbols and quantization, (with Cianci, R.;Khrennikov, A. Yu), Rend. Semin. Mat. Univ. Politec. Torino 67 (2009), no. 2,137-150
2010
744. Quantum Information and Entanglement, (with Fei, S.-M., Cabello, Adan, Jing,N.-H., Goswami, D.) Advances in Mathematical Physics, Vol. 2010 (2010), art.ID 657878 (3 pages of introduction)
745. Suppression of unbounded gradients in an SDE associated with the BurgersEquation, (with Rozanova, O.) Proc. AMS 138, Issue 1, pp. 241-251 (2010)
746. Existence of global solutions and invariant measures for stochastic differentialequations driven by Poisson type noise with non-Lipschitz coefficients, (withZdzisław Brzezniak, J.L. Wu) J. of Math. Analysis and Applications, Vol. 371,pp. 309-322 (2010)
747. Pseudodifferential p-adic vector fields and pseudodifferentiation of a compositep-adic function, (with S. V. Kozyrev) p-Adic Numbers, Ultrametric Analysis andApplications Vol.2, No1 pp. 21-34 (2010)
748. Prüfer’s Ideal Numbers as Gelfand’s Maximal Ideals, (with V. Polischook) p-Adic Numbers, Ultrametric Analysis and Applications Vol.2, No1 pp. 35-54(2010)
749. Point perturbations in constant curvature spaces, (with V.A. Geyler, E. N. Gr-ishanov et al.), International Journal of theoretical physics, Vol. 49, issue 4 pp.728-758 (2010)
59
750. Arens spaces associated with von Neumann algebras and normal states (with S.A. Ayupov, R. Z. Abdullaev) , Positivity, Vol 14, issue 1 pp. 105-121 (2010)
751. Generalized solutions of the Cauchy problem for the Navier-Stokes system anddiffusion processes (with Ya. Belopolskaya) Cubo A Math. Journal Vol. 12 issue2 pp77-96 (2010)
752. Spectral theory of semibounded Sturm-Lionville operators with local interac-tions on a discrete set (with A. Kostenko, M. Malamud), J. Math. Phys. 51,Issue 10 (2010), 102202-102126
753. Singular perturbations with boundary conditions and the Casimir effect in thehalf space, (with G. Cognola, M. Spreafico, S. Zerbini), J. Math Phys. 51, 063502-1-38 (2010)
754. On Jones’ index for real W*-Algebras, (with Sh. Ayupov, R.A. Dadakhodjaev,A.A. Rakhimov), Eurasian Mathematical Journal, ISSN 2077-9879, Vol.1, no 4(2010) 5-19
755. Boundary problems for the wave equation with the Lévy Laplacian in Shilov’sclass, (with Ya. Belopolskaya, M.N. Feller), Methods Func. Anal. vol. 16(2010) no 3 pp 197-202
756. Bounds on the Spectrum and reducing Subspaces of a J-Self-adjoint Operator,(with A.K. Motovilov, C. Tretter), Indiana University Mathematics Journal vol.59, no 5 (2010) pp 1737-1776
757. Multidimensional p-adic wavelets for the deformed metric, (with Kozyrev, S. V.),p-Adic Numbers Ultrametric Anal. Appl. 2 (2010), no. 4, 265-277
758. Some abstract considerations on the homogenization problem of infinite dimen-sional diffusions, (with Yoshida, Minoru W.), Applications of renormalizationgroup methods in mathematical sciences, 183-192, RIMS Kôkyûroku Bessatsu,B21, Res. Inst. Math. Sci. (RIMS), Kyoto, 2010
759. Decomposition of a scalar operator into a product of unitary operators with twopoints in spectrum (with Rabanovich, S. ), Linear Algebra Appl. 433 (2010), no.6, 1127-1137
760. The Cauchy problem for the wave equation with the Lévy Laplacian (with Be-lopolskaya, Ya. I.; Feller, M. N.), Mat. Zametki 87 (2010), no. 6, 803-813;translation in Math. Notes 87 (2010), no. 5-6, 787-796
761. Theory of p-adic distributions: linear and nonlinear models (with Khrennikov,A. Yu.; Shelkovich, V. M.), London Mathematical Society Lecture Note Series,370. Cambridge University Press, Cambridge, 2010. xvi+351 pp.
60
2011
762. A Remark on Gauge Invariance in Wavelet-Based Quantum Field Theory, (withM. V. Altaisky) New Advances in Physics, Vol. 5, No 1 Jan.-June 2011 (2011),pp. 1-8
763. Global in Time Solutions to Kolmogorov-Feller Pseudodifferential Equationswith Small Parameter, (with V. G. Danilov) ISSN 1061-9208, Russian Journalof Mathematical Physics, Vol. 18, No 1, (2011), pp. 10-25, Pleiades Publishing,Ltd, 2011
764. Hyperfinite Dirichlet forms and stochastic processes, (with R.-Z. Fan, F.S.Herzberg), UMI Lecture notes, Berlin, Heidelberg, New York: Springer, (2011)
765. The Trace Formula for the Heat Semigroup with Polynomial Potential, (with S.Mazzucchi), Seminar on Stochastic Analysis, Random Fields and ApplicationsVI, Centro Stefano Franscini, Ascona, May 2008, R. C. Dalang, M. Dozzi, F.Russo Editors, Birkhäuser, Vol. 63 pp. 3-22 (2011)
766. Local derivations on algebras of measurable operators, (with Sh. A. Ayupov,K.K. Kudaybergenov, B.O. Nurjanov), Communications in Contemporary Math-ematics, Vol. 13, No 4 (2011) 643-657, World Scientific Publishing Company
767. The Probabilistic representation of the exponent of a class of pseudo-differentialoperators, (with N. Smorodina, M. Faddeev) Global and Stochastic Analysis,Vol. 1, No. 2, December 2011, 123-148.
768. Inverse scattering for discontinuous impedance Schrödinger operators: a modelexample, (with R. Hryniv, Ya. Mykytyuk), J. Phys A. Math. Theor. 44 (2011),345204-345212
769. Small noise asymptotic expansions for stochastic PDE’s I ; the case of a dissipa-tive polynomially bounded non linearity, (with L. Dipersio, E. Mastrogiacomo),Tohoku Mathematical Journal, Centennial Issue 63 (2011), 877-898
770. Automorphisms of central extensions of type I von Neumann algebras, (with S.Ayupov, K.K. Kudaybergenov, R.T. Djumamuratov), Studia Mathematica 207(2011), 1-17
771. Additive derivations on generalized Arens algebras, (with Ayupov, Sh. A.; Ab-dullaev, R. Z.; Kudaybergenov, K. K. ), Lobachevskii J. Math. 32 (2011), no. 3,194-202
772. The Cauchy problems for evolutionary pseudo-differential equations over p-adicfield and the wavelet theory, (with Khrennikov, A. Yu.; Shelkovich, V. M.), J.Math. Anal. Appl. 375 (2011), no. 1, 82-98
773. On fine structure of singularly continuous probability measures and randomvariables with independent Q-symbols, (with V. Koshmanenko, M. Pratsiovy-tyi, G. Torbin), Meth. Funct. And. Top. 17 (2011), 97-111
61
774. Operator Stieltjes integrals with respect to a spectral measure and solutions ofsome operator equations, (with A.K. Motovilov), Trans. Moscow Math. Soc.(2011), 45-77
775. The Probabilistic Representation on the Exponent of One Class of Pseudo-Differential Operators , (with Smorodina, N., Faddeev, M.), Global and Sto-chastic Analysis Vol. 1, No. 2, 123-148 (2011)
2012
776. Automorphisms of central extensions of type I von Neumann algebras, (withAyupov, Sh.; Kudaybergenov, K.; Djumamuratov, R.), Studia Math. 207 (2012), no 1, 1-17
777. Phase Transitions and Quantum Effects in Anharmonic Crystals, (with Yu. Kon-dratiev, Yu. Kozitsky, M. Röckner) International Journal of Modern Physics B,Vol. 26, No. 11(2012) 1250063 (32 pages)
778. Exponential Mixing of the 3D Stochastic Navier-Stokes Equation Driven byMidly Degenerate Noises, (with A. Debussche, Lihu Xu) Appl. Math. Optim.66 (2012), Issue 2, 273–308
779. Scattering theory for Schrödinger operators with Bessel- type potentials, (withR. Hryniv, Ya. Mykytyuk) J. reine angew. Math. 666, 83-113 (2012)
780. Inverse scattering for non- classical impedance Schrödinger operators, (withR.Hryniv, Ya. Mykytyuk, P.A. Perry ), Proc. OTAMP-2010 Conference (2012)
781. Clustering by hypergraphs and dimensionality of cluster systems, (with S.V.Kozyrev), p-adic Numbers, Ultrametric Analysis and Applications 4, 167-178(2012)
782. On fractional Brownian Motion and Wavelets, (with A.M. Paolucci, P.E.T. Jor-gensen) Complex Analysis and Operator Theory 6 (2012), 33-63
783. Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbsmeasures on a path space with exponential interactions, (with Kawabi, Hiroshi;Röckner, M. ), J. Funct. Anal. 262 (2012), no. 2, 602-638
784. Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferen-tial equations with a small parameter using characteristics, (with Danilov, V. ),Math. Nachr. 285 (2012), no. 4, 426-439
785. Mathematical physics at Saint-Flour. Selected lectures of the Saint-Flour Prob-ability Summer School – École d’Été de Probabilités de Saint-Flour, (withFöllmer, H.; Gross, L.; Nelson, E.), Reprint of lectures originally published inthe Lecture Notes in Mathematics volumes 929 (1982), 1362 (1988) and 1816(2003). (English)
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786. Number of Eigenvalues of the Three-Particle Schrödinger operators on Lattices,(with Lakaev, S.N.; Khalkhujaev, A.M.), Markov Processes and Related Fields18, 387-420 (2012)
787. Index Theory for Real Factors, (with Ayupov, Sh.A.;Rakhimov, A.A., A.;Dadakhodjaev, R.A.),Eurasian Mathematical Journal, Volume 3, no.2, 12-20(2012)
788. Uniform asymptotic bounds for the heat kernel and the trace of a stochasticgeodesic flow, (with Hilbert,A.; Kolokoltsov, V.),Stochastics 84, no.2-3, 315-333(2012)
789. The a priori Tan Θ Theorem in the perturbation problem for spectral subspaces,(with Motovilov, A. K.),Integral Equations Operator Theory 73, no.3, 413-430(2012)
790. Haar Bases for L2 Generated by One Wavelet Function , (with Skopina,M.),International Journal of Wavelets, Multiresolution and Information Process-ing, Vol. 10, no. 5, 250042, 13pp (2012)
791. On elements of the Lax- Phillips scattering scheme for PT -symmetric operators,(with Kuzhel, S.), J. Phys A 45, no 3, 444001, 20pp (2012)
792. Conditions of cioncidence of central extensions of von Neumann algebras andalgebras of measurable operators, (with Kudaybergenov, K. K; Djumamuratov,R. T.), Lobachevskii J. Math. 33, no 3, 200-207 (2012)
793. Phase transitions and quantum effects in anharmonic crystals, (with Kondratiev,Yuri; Kozitsky, Yuri; Röckner, M.), internat. J. Modern Phys. B 26, no 11,1250063, 32pp (2012)
794. Conditions of coincidence of central extensions of von Neumann algebras andalgebras of measurable operators, (with K.K. Kudaybergenov, R.T. Djumamu-ratov), Lobachevskii Jour. Math. 33, Issue 3, 200–207 (2012)
795. Diffusion processes in thin tubes and their limits on graphs, (with Kusuoka, S.),Ann. Probab. 40, no 5, 2131-2167 (2012)
2013
796. The Riemann zeta in terms of the dilogarithm, (with Cacciapuoti, C.), Journal ofNumber Theory 133, 242-277 (2013)
797. p-adic (2, 1)- rational dynamical systems, (with Rozikov. U.A., Sattarov, I. A.),Journal of Mathematical Analysis and Applications 398, 553-566 (2013)
798. A remarkable spectral feature of the Schrödinger Hamiltonian of the harmonicoscillator perturbed by an attractive interaction centred at the origin, doubledegeneracy and level crossing, (with Fassari, S., Rinaldi, F.), Journal of PhysicsA, Mathematical and Theoretical, 385305 (16pp) (2013)
63
799. Small noise asymptotic expansions for stochastic PDEs driven by dissipativenonlinearity and Lévy noise, (with Mastrogiacomo, E., Smii, B.), Stochastic Pro-cess Appl. 123, no. 6, 2084- 2109 (2013)
800. Sharpening the Norm Bound in the Subspace Perturbation Theory, (with Mo-tovilov, A.), Complex Analysis and Operator Theory, V. 7, No. 4, 1389-1416(2013)
801. Schrödinger operators with nonlocal potentials, (with Nizhnik, L.), MFAT, no 3,199-210 (2013)
802. Investment instruments with volatility target mechanism, (with Steblovskaya, V.,Wallbaum, K.), Quantitative Finance, V. 13, no 10, 1519-1528 (2013)
803. A probabilistic model associated with the pressureless gas dynamics, (with Kor-shunova, A.; Rozanova,O.), Bull. Sci. Math. 137, no 7, 902-922 (2013)
804. On Titchmarsh- Weyl functions and eigenfunction expansions of first- order sym-metric systems, (with Malamud, M.; Mogilevskii, V.), Integral Equations Opera-tor Theory 77, no 3, 303- 354 (2013)
805. Inverse scattering for non- classical impedance Schrödinger operators, (withHryniv, R.; Mykytyuk, Y. Perry, P.), Operator methods in mathematical physics,1-42, Oper. Theory Adv. Appl., 227 , (2013)
806. In memory of Vladimir M. Shelkovich(1949- 2013)., (with Khrennikov, A.;Kozyrev, S. V.; Vakulenko, S. A.; Volovich, I. V.), p-Adic Numbers Ultramet-ric Anal. Appl., no 5, 242-245 (2013)
807. Spherical Schrödinger operators with δ-type interactions, (with Kostenko, A.;Malamud, M.; Neidhardt, H.), J. Math. Phys 54, no 5, 052103, 24pp, (2013)
808. A representation of solutions to a scalar conservation law in several dimensions,(with Rozanova, O.), J. Math. Anal. Appl. 405, no 2, 711-719 (2013)
809. Invariant measures for stochastic differential equations on networks, pp. 1-33 inSpectral analysis, differential equations and mathematical physics: a Festschriftin honor of Fritz Gesztesy’s 60th birthday, (with Di Persio, L., Mastrogiacomo,E.), Proc. Sympos. Pure Math., 87, Amer. Math. Soc., Providence, RI (2013)
810. In memory of Vladimir M. Shelkovich (1949–2013), (Khrennikov, A. Yu,kozyrev, S. V., Vakulenko, S.A., Volovich, I. V.), p-Adic Numbers UltramtricAnal. Appl., 5, No. 3, 242-245 (2013)
811. On One Class of Functions Related to Ostrogradsky Series and ContainingSingular and Non-Differentiable functions, (with Baranovskyi, O., Kondratiev,Yu., Pratsiovytyi), Naukovyj chasopys NPU imeni M.P.Drahomanova. Ceriya 1.Fizyko-matematychni nauky Kyyiv: NPU imeni M.P. Drahomanova. — no. 15,35–55 (2013)
64
2014
812. On a Localization Property of Wavelet Coefficients for Processes with Station-ary Increments and Applications II, Localization with Respect to Scale, (with S.Kawasaki.), Osaka J. Math. vol 51, 1-73 (2014)
813. Real ideals of compact operators of complex factors, (with Dadakhodjaev,R.A.,Rakhimov, A.), Positivity 18, No. 1, 1-8 (2014)
814. On fractal properties of non-normal numbers with respect to Renyi f- expansionsgenerated by piecewise linear functions, (with Kondratiev, Yuri; Nikiforov, R.;Torbin, G.), Bull. Sci. Math. 138, No. 3, 440-455 (2014)
815. Preface: [Special issue on singular perturbation theory; analysis, geometry, andstochastics (part 1)], Arab. J. Math. (Springer) 3, no. 4, 379-380 (2014)
816. A homeomorphism relating path spaces of stochastic processes with values in RZ
respectively (S1)Z, (with Röckner, M.; Yoshida, M. W.), Infin. Dimens. Anal.Quantum Probab. Relat. Top. 17, no. 1, 30 pages (2014)
2015
817. A remark on the heat equation with a point perturbation, the Feynman Kac for-mula with local time and derivative pricing, (with Fassari, S.; Rinaldi, F.), Rep.Math. phys. 75, no. 2, 257-265 (2015)
818. Asymptotic expansions for SDEs with small multiplicative noise, (with Smii, B.),Stochastic Process. Appl. 125, no. 3, 1009-1031 (2015)
819. Infinite dimensional oscillatory integrals as projective systems of functionals,(with Mazzucchi, S.), J. Math. Soc. Japan 67, no. 4, 1295-1316 (2015)
820. Equivalence of the Brownian and Energy Representations, (with Driver, B. K.,Gordina, M., Vershik, A. M.), Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat.Inst. Steklov. (POMI) 441, Veroyatnost’ i Statistika. 22, 17–44 (2015); transla-tion in J. Math. Sci. (N.Y.) 219, no. 5, 612–630 (2016)
821. Preface (Special Issue on Singular Perturbation Theory; Analysis, Geometry,and Stochastics, Part 2), Arab. J. Math. (Springer), no. 4, 229-230 (2015)
822. On Singularity and fine spectral structure of random continued fractions, (withKulyba, Y.; Pratsiovytyi, M.; Torbin, G.), Math. Nachr., no. 16, 1803-1813(2015)
823. PT -symmetric operators in quantum mechanics: Krein spaces methods, (withKuzhel, S.), pp. 293–343 in: Bagarello, F., Gazeau, J. P., Szafraniec, F. H.,Znojil, M. (eds.) Non-selfadjoint operators in quantum physics, New Jersey:John Wiley & Sons, Inc (2015)
65
824. A Doob h-transform of the Gross-Pitaevskii Hamiltonian, (with Ugolini, S.), J.Stat.Phys, no. 2, 486-508 (2015)
825. Periodic algebras generated by groups, (with Omirov, B. A.; Rozikov, U. A.),Algebra Colloq., no. 4, 541-554 (2015)
826. Quasi regular Dirichlet forms and the stochastic quantization problem, (withRoeckner, M.; Ma, Z. M.), Festschrift Masatoshi Fukushima, Interdiscip. Math.Sci., 27-58 (2015)
827. An introduction to infinite-dimensional oscillatory and probabilistic integrals,(with Mazzucchi, S.), Stochastic Analysis, a series of lectures, 1-54 Progr.Probab., 68, Basel: Birkhäuser/Springer (2015)
828. The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian per-turbed by δ-interactions, (with Fassari, S.; Rinaldi, F.), Journal of Physics A:Mathematical and Theoretical, Volume 48, Number 18 (2015)
2016
829. The Hamiltonian of the harmonic oscillator with an attractive delta-interactioncentred at the origin as approximated by the one with a triple of attractive delta-interactions, (with Fassari, S.; Rinaldi, R.), J. Phys. A, no. 2, 025302(16pp)(2016)
830. Spectral properties of a symmetric three-dimensional quantum dot with a pair ofidentical attractive delta’-impurities symmetrically situated around the origin,(with Fassari, S.; Rinaldi, R.), Nanosystems: Physics, Chemistry, Mathematics,7(2), 268-289 (2016)
831. Bounds on variation of the spectrum and spectral subspaces of a few-bodyHamiltonian, (with Motovilov, A. K.) In: Proc. of Int. Conf. “Nuclear The-ory in the Supercomputing Era - 2014", Shirokov, A. M.; Mazur, A. I. (eds.),98-106, Pacific National University, Khabarovsk (2016)
832. On invariant graph subspaces of a J-self-adjoint operator in the Feshbach case,(with Motovilov, A. K.), Mathematical Notes 100, 761-773 (2016)
833. Complex phase space and Weyl’s commutation relations, (with Sengupta, A. N.),Expo. Math. 34, no. 3, 249-286 (2016)
834. A class of Lévy driven SDEs and their explicit invariant measures, (with Di Per-sio, L.; Mastrogiacomo, E.; Smii, B.), Potential Anal. 45, no. 2, 229-259 (2016)
835. Quantum fields obtained from convoluted generalized white noise never havepositive metric, (with Gottschalk, H.), Lett. Math. Phys. 106, no. 5, 575-581(2016)
66
836. A unified approach to infinite-dimensional integration, (with Mazzucchi, S.),Rev. Math. Phys. 28, no. 2, 43 pages (2016)
837. Along Paths Inspired by Ludwig Streit: Stochastic Equations for QuantumFields and Related Systems, (Conference Paper), In: Bernido C., Carpio-BernidoM., Grothaus M., Kuna T., Oliveira M., da Silva J. (eds) Stochastic and Infi-nite Dimensional Analysis. Trends in Mathematics. Birkhäuser, Cham, DOI:10.1007/978-3-319-07245-6_1, First Online: 11 August 2016
2017
838. Entropy chaos and Bose-Einstein condensation, (with De Vecchi, F. C.; Ugolini,S.) J. Stat. Phys. 168, no. 3, 483-507 (2017)
839. On new fractal phenomena connected with infinite linear IFS, (with Kondratiev,Yu.; Nikiforov, R.; Torbin, G.) Math. Nachr. 290, no. 8-9, 1163-1176 (2017)
840. Invariant measures for SDEs driven by Lévy noise: A case study for dissipativenonlinear drift in infinite dimension, (with Di Persio, L.; Mastrogiacomo, E.;Smii, B.), Commun. Math. Sci. 15, no. 4, 957-983 (2017)
841. Relative partition function of Coulomb plus delta interaction, (with Cacciapuoti,C.; Spreafico, M.), in: Dittrich, J.; Kovarík, H.; Laptev, A. (eds.), FunctionalAnalysis and Operator Theory for Quantum Physics, 1-29 (2017)
842. Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noiseand applications to stability properties, (with Gawarecki, L.; Mandrekar, V.;Rüdiger, B.; Sarkar, B.), DOI: 10.1515/rose-2017-0008, Random Oper. Stoch.Equ. 25, no. 2, 79-105 (2017)
843. The Enskog process, (with Rüdiger, B.; Sundar, P.), J. Stat. Phys. 167, no. 1,90-122 (2017)
844. Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality,(with Garko, I.; Ibragim, M.; Torbin, G.), Bull. Sci. Math. 141, no. 2, 1-19(2017)
845. The behaviour of the three-dimensional Hamiltonian−∆+λ[δ(x+x0)+δ(x−x0)] as the distance between the two centres vanishes, (with Fassari, S.; Rinaldi,F.), NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS 8, no. 2,153-159 (2017)
846. Resonance free regions and non-Hermitian spectral optimization forSchrödinger point interactions, (with Karabash, I. M.), Oper. Matrices11, no. 4, 1097-1117 (2017)
847. Quantum fields, (with Röckner, M.; Yoshida, M.) In: Hida, T.; Streit. L. (eds.):“Let us use white noise”, 37-65, World Scientific, Hackensack, NJ (2017)
67
2018
848. Inverse scattering for impedance Schrödinger operators, I. Step-like impedancelattice, (with Hryniv, R.; Mykytyuk, Ya.) J. Math. Anal. Appl. 458, no. 1, 71-92(2018)
849. Asymptotics of the evolution semigroup associated with a scalar field in the pres-ence of a non-linear electromagnetic field (with H. Tamura) J. Math. Phys. 59,no. 4, 23 pp. (2018)
850. Hida distribution construction of indefinite metric (φp)d (d ≥ 4) quantum fieldtheory (with M. Yoshida) In: L. Accardi; L. H. Y. Chen; T. Hida; M. Ohya; S. Si;N. Watanabe (eds.): “White noise analysis and quantum information”, 21–33,World Scientific, Hackensack, NJ (2018)
851. Infinite dimensional moment problems in quantum field theory and stochasticanalysis Oberwolfach Reports 14/2017, 782–787 (2018)
Submitted
852. Q-representation of real numbers and fractal probability distributions, (with V.Koshmanenko, M. Pratsiovytyi, G. Torbin), SFB 611 Rep. No 12 (2002), subm.IDAQP
853. Some models in perturbation theory of the essential spectrum of several particleoperators, (with S.N. Lakaev, U.A. Soatov), SFB 611 Rep. No 35, subm. Mat.Zain.
854. The fermionic oscillator as a limit of the two-dimensional Ising model around thecritical temperature, (with T. Kolsrud and S. Paycha), subm. Acta Appl. Math.
855. A priori estimates and existence for quantum Gibbs states: approach viaLyapunov functionals, (with Yu. Kondratiev, M. Röckner, T. Pasurek),arXiv:math/0512462, subm. Trans. Moscow Math. Soc.
856. On the essential and discrete spectrum of a model operator, (with N.L.S. Lakaev,H.T. Rasulov), SFB 611 Rep. No 45, preprint arXiv:math-ph/0501024, subm.Integral Equations Oper. Theory
857. On the discrete spectrum of Schrödinger operators on lattices (with S.N. Lakaev,M.I. Muminov), SFB 611 Rep. No 68, subm. Forum Math.
858. Discrete spectrum asymptotics for three-particle Schrödinger operators on lat-tices (with S.N. Lakaev, A.H. Abduvaitov), SFB 611 Rep. No 44 (2003), subm.Rev. Math. Phys.
859. On a nonstandard representation of measurable Lévy Processes and their sto-chastic integral, (with F.S. Herzberg), subm. Adr. Math. (2004)
68
860. Reconstructing the intensity of non-stationary Poisson processes by means of thecorresponding shot-noise process, (with D. Belomestny), under revision, subm.J. Appl. Prob. (2003)
861. Delta-shock waves in multidimensional non-conservative dystem of zero-pressure gas dynamics (with V.M. Shelkovich), subm. Nonlinearity
862. p-Adic analysis in the Lizorkin type spaces: fractional operators, pseudo-differential equations and Tauberian theorems, (with A. Khrennikov, V.Shelkovich), preprint arXiv:math-ph/0512055, subm. Forum Anal. Appl.
863. On ∗-representations of a certain class of algebras related to extended Dynkingraphs, (with V. Ostrovskyi, Yu. Samoilenko), SFB 611 Rep. No 250, subm. J.Algebra
864. Explicit formula of threshold curve on social percolation with activists andsupporters defined on the Bethe lattice, (with R. Murai, K.I. Takahashi, M.W.Yoshida), subm. J. Appl. Probab.
865. Synchronizability of a stochastic version of FitzHugh-Nagumo type neural os-cillator networks, (with C. Cebulla), SFB 611, Rep. 393, subm. to Journal ofMathematical Biology (2007)
866. On a class of unitary representations of the braid groups B3 and B4, (with A.Kosyak) SFB 611 Rep. 327 (2007) subm. to Comm. in Algebra
867. On the Hausdorff Dimension Faithfulness and the Cantor Series Expansion,(with Ivanenko, G., Lebid, M., Torbin, G.), preprint arXiv:1305.6036, subm.to Math. Res. Letts. Sept. 2012
Preprints
868. Dirichlet operators associated with the action of rotation loop groups in linearspaces, (with A.Yu. Daletskii, Yu. Kondratiev)
869. The multiple stochastic integrals and the transformations of the Poisson measure,(with N.V. Smorodina), SFB 611 Rep. No 212
870. Probabilistic proof of the reflection positivity of Wick powers of the generalizedEuclidean free field for any space-time dimensions, (with M.W. Yoshida), SFB611 Rep. No 30
871. Variety of 4-dimensional nilpotent complex Leibniz algebras, (with B.A. Omirov,I.S. Rakhimov), SFB 611 Rep. No 124
872. Solution of the inverse problem for diffusions in one dimension, (with C.Marinelli)
873. η-Hermitian operators and previously unnoticed symmetries in the theory of sin-gular perturbations, (with S. Kuzhel), SFB 611 Rep. No 177
69
874. Discrete spectrum asymptotics for the three-particle Hamiltonians on lattices(with S.N. Lakaev, A.M. Xalxo’jaev), arXiv:math.SP/0703301 (2007)
875. On a class of unitary representations of the braid groups B3 and B4, (with S.Rabanovich), SFB 611 Rep. No 327 (2007)
876. Description of Derivations on Measurable Operator Algebras of Type I, (withS.A. Ayupov, K.K. Kudaybergenov), arXiv:0710.3344, SFB 611 Rep. No. 361(2007)
877. Algebras of Unbounded Operators over the Ring of Measurable Functions andtheir Derivations and Automorphisms, (with S.A. Ayupov, A.A. Zaitov, J.E.Ruziev), arXiv:0710.5839, SFB 611 Rep. No. 362 (2007)
878. On Metrizability of the Space of Order-Preserving Functionals, (with S.A.Ayupov, A.A. Zaitov), SFB 611 Rep. No. 363 (2007)
879. Multiple stochastic integrals construction of non-Gaussian reflection positivegeneralized random fields, (with M. W. Yoshida), SFB 611 Rep. 241 (2006)
880. p-adic non-orthogonal wavelet bases, (with S. Evdokimov, M. Skopina)
881. Generalized solutions of the Cauchy problem for the Navier-Stokes system anddiffusion processes, (with Ya. Belopolskaya), arXiv:0709.1008v2 (2008)
882. Complete Description of Derivations on τ -compact Operators for Type I vonNeumann Algebras, (with Sh. A. Ayupov, K. K. Kudaybergenov, T. S. Kalan-darov), SFB 611 publication No. 416, Univ. Bonn 2008
883. On an Algebra of Operators Related to Finite Traces on a von Neumann Algebra,(with Sh. A. Ayupov, Rustam Z. Abdullaev), SFB 611 publication No. 419,Univ. Bonn 2008
884. Global in time Madelung transformation for Kolmogorov-Feller pseudodifferen-tial equations, (with V. Danilov), arXiv:0904.1945 (2009)
885. On Bernoulli Convolutions generated by the second Ostrogradsky series andtheir fine fractal properties, (with G. Torbin ), arXiv:1506.04357, SFB611 Rep.No. 459, Univ. Bonn (2009) 28p, subm. to Acta Appl. Math.
886. The Ostrogradsky-Pierce Expansion: Probability theory, Dynamical systems,and Fractal Geometry Points of View , (with G. Torbin ), SFB 611 preprint No464 (2010), subm. Ann. Prob.
887. On the probabilistic, metric and dimensional theories of the second Ostrogradskyexpansion, (with I. Pratsiovyta, G. Torbin), SFB 611 No 482 (2010)
888. Lattice model of a protein conformation, (with Kozyrov, S.), arXiv:1207.7317(2012)
70
889. A priori estimates and existence for quantum Gibbs states: approach viaLyapunov functionals, (with Yu. Kondratiev, M. Röckner, T. Pasurek),arXiv:math/0512462
890. p-Adic analysis in the Lizorkin type spaces: fractional operators, pseudo-differential equations and Tauberian theorems, (with A. Khrennikov, V.Shelkovich), preprint arXiv:math-ph/0512055Appl.
891. On the Hausdorff Dimension Faithfulness and the Cantor Series Expansion,(with Ivanenko, G., Lebid, M., Torbin, G.), preprint arXiv:1305.6036, 2012
892. Schrödinger operators with concentric δ-shells, (with Kostenko, A.; Malamud,M.; Neidhardt, H.), preprint arXiv:1211.4048, 2012
893. q-Pascal’s triangle and irreducible representations of the braid group B3 in ar-bitrary dimensions , (with A. Kosyak), arXiv : math.QA(RT)/0803.2778v2
894. Image measures of infinite product measures and generalized Bernoulli convolu-tions, (with G. Torbin), arXiv:math/0308025 (2003)
895. Stochastic quantization of the three–dimensional polymer measure, (with M.Röckner, X. Y. Zhou), Preprint (1996)http://citeseerx.ist.psu.edu/viewdoc/versions?doi=10.1.1.56.6600
896. Path integrals: mathematical aspects, (with S. Mazzucchi) contribution to Schol-arpedia
897. Symmetries and invariance properties of stochastic differential equations drivenby semimartingales with jumps, arXiv:1708.017641 (Aug. 2017)
In Preparation
898. Asymptotic behaviours of random walks on a fluctuating lattice, (with X. Y.Zhou)
899. A modified discrete Edwards model in three dimensions (with E. Bolthausen, X.Y. Zhou),
900. Characterization of the negative point spectrum of Schrödinger operators withfractal potential (with J. F. Brasche, V. Koshmanenko)
901. The relative stochastic functional solution for some nonlinear stochastic PDE’sdriven by white noise (with X. L. Zhao)
902. Hamiltonian mechanics of infinite-dimensional systems with constraints (with A.Khrennikov, O. Smolyanov) (Sept. 99)
903. Nonlinear S transforms, (with Yu. G. Kondratiev, Yu. V. Kozitsky)
71
904. A spatial inverse problem for stochastic differential equations, (with St. Hart-mann)
905. On generalized sub-elliptic differential equations and associated Sobolev super-spaces, (with Yu. A. Rozanov)
906. Relations between Feynman and Schrödinger quantizations of Hamilton-Diracsystems, (with O. Smolyanov)
907. Some general approach to growth models,(with M.V. Kozlov)
908. Alcune osservazioni sulla equazione di Schrödinger stocastica e i problemi dellentanglement quantistico, Lezioni alla Domus Galileiana, (with S. Mazzucchi),(2003)
909. Probability and quantum symmetries, (with J. Rezende, J.C. Zambini), (2003)
910. On the point spectrum arising under infinite singular perturbations of self-adjoint operators, (with M. Dudkin, V. Koshmanenko), 2003
911. Gradient diffusions with singular drifts in models of Mathematical Physics, (withYu. Kondratiev, M. Röckner)
912. Generalized Ito-Kunita formula for diffusion processes, (with Ya. Belopolskaya)
913. Quasilinear parabolic equations with Lévy Laplacians, (with Ya. Belopolskaya,M. Feller)
914. On finite rank self-adjoint perturbations, (with S. Kuzhel, L. Nizhnik)
915. Resolvent formula and finite rank self-adjoint perturbations, (with S. Kuzhel, L.Nizhnik)
916. Quasiregular representations of the group of infinite triangular matrices withcoefficients in a finite field, (with A. Kosyak)
917. Polyadic Pruefer’s numbers and wavelets, (with V.I. Polischook, V.M.Shelkovich)
918. Polyadic analysis as a part of the harmonic one, (with V.I. Polischook)
919. Asymptotic expansions for convolutions in the polyadic domain, (with V.I.Polischook)
920. On C∗-algebra generated by deformations of a Wick analogues of CAR, (withD. Proskurin, K. Sukretnyi)
921. Wave type solutions of p-adic pseudo-differential equations, (with A.Yu. Khren-nikov, V.M. Shelkovich)
922. p-Adic Schrödinger type equation with singular potentials, (with A.Yu. Khren-nikov, V.M. Shelkovich)
72
923. On connection of p-adic and real structures generated by the mapping Qp toR+, (with A.Yu. Khrennikov, V.M. Shelkovich)
924. A class of pseudo-differential operators having compactly supported eigenfunc-tions, (with A.Yu. Khrennikov, V.M. Shelkovich)
925. δ′-Shocks in multidimensional systems of conservation laws, (with E.Yu. Panov,V.M. Shelkovich)
926. Dimensional bifurcations of a δ-shock type solution of zero-pressure gas dynam-ics system, (with V.M. Shelkovich)
927. Flux-functions singularities for δ-shock type solutions to conservation laws sys-tems, (with V.M. Shelkovich)
928. Propagation of delta-shocks and mass and momentum transportation in multidi-mensional zero-pressure gas dynamics system, (with V.M. Shelkovich)
929. Pure measures in the cylindrical representation. Fractal analysis and classifica-tion, (with V. Koshmanenko, M. Pratsiovytyi, G. Torbin)
930. Superfractality of non-normal continued fractions, (with L. Olsen, G. Torbin)
931. On one class of the pure probability distributions in R with quasi-self-affinefractal supports, (with V. Koval, M. Pratsiovytyi, G. Torbin)
932. Pascal’s triangle and representations of the braid group B3 in any dimension,(with A. Kosyak)
933. Modelling urban dynamics with continuous valued cellular automata and fuzzylogic: a real case studies, (with A. Vancheri, P. Giordano, D. Andrey)
934. Ordinary differential equation for the mean value of the dynamical variables,(with A. Vancheri, P. Giordano, D. Andrey)
935. Complex urban dynamics described using random differential equations, (withA. Vancheri, P. Giordano, D. Andrey)
936. Reflections on the concepts of model’s calibration and validation, (with A.Vancheri, P. Giordano, D. Andrey)
937. On the Asymptotic Behaviour of the Heat Kernel for Degenerate Diffusions withRegular Hamiltonian, (with A. Hilbert)
938. On fractal properties of probability distributions with independent Q−∞ sym-bols and their applications to the theory of non-normal numbers, (with R. Niki-forov, G. Torbin)
939. On multi-fractal decomposition of singular continuous spectra, (with G. Torbin)
940. Infinite dimensional analysis: some main themes
73
941. Poisson analogue of the multiple Wiener-Itô stochastic integral, (with N.V.Smorodina), SFB 611 Rep. 212
942. Spazi di interazioni: automi cellulari + sistemi multi agente con buone proprietàmatematiche, (with A. Vancheri, P. Giordano, D. Andrey)
943. Implementazione di uno spazio di interazioni: il caso Capriasca - Val Colla,(with A. Vancheri, P. Giordano, D. Andrey)
944. Il limite come problema - scienza e realtà
Books
945. Mathematical theory of Feynman path integrals, an introduction (with Hoegh-Krohn), Lecture Notes in Mathematics, 523, Springer, Berlin (1976); 2nd ed.(with R. Høegh-Krohn, S. Mazzucchi), Springer, Berlin (2006)
946. Nonstandard methods in stochastic analysis and mathematical physics, (withJ.E. Fenstad, R. Høegh-Krohn, T. Lindstrøm) Academic Press, New York (1986);Russ. transl. by A.K. Svonskin, M.A. Shubin, Mir, Moscow (1990); new edit.Dover (2009)
947. Solvable models in quantum mechanics, (with F. Gesztesy, R. Høegh-Krohn,H. Holden) Springer, Berlin (1988); Russ. transl. by Yu.A. Kuperin, K.A.Makarov, V.A. Geilerk, Mir, Moscow (1990)); 2nd rev. ed. with an appendixby P. Exner, AMS Chelsea, Providence RI (2005)
948. Noncommutative distributions: unitary representation of gauge groups and al-gebras, (with R. Høegh-Krohn, J. Marion, D. Testard, B. Torresani), M. Dekker,New York 1993
949. A mathematical introduction to string theory. Variational problems, geomet-ric and probabilistic methods, (with J. Jost, S. Paycha, S. Scarlatti), CambridgeUniv. Press, Cambridge (1997)
950. Singular perturbations of differential operators. Solvable Schrödinger type op-erators, (with P. Kurasov), London Mathematical Society Lecture Note Series,271, Cambridge Univ. Press, Cambridge (2000)
951. Lectures on Probability Theory and Statistics. Lectures from the 30th SummerSchool on Probability Theory held in Saint-Flour, August 17–September 3, 2000,(with W. Schachermayer, M. Talagrand), Lect. Notes Math. 1816, Springer,Berlin (2003)
952. Hyperfinite Dirichlet forms and stochastic processes, (with R.-Z. Fan, F.S.Herzberg), Springer, Berlin, (2010)
953. The statistical mechanics of quantum lattice systems. A path integral approach.,(with Kondratiev, Yuri ; Kozitsky, Yuri ; Röckner, Michael) EMS Tracts in Math-ematics, 8. European Mathematical Society (EMS), Zürich, 2009 xiv+379 pp.
74
954. SPDE in hydrodynamic : recent progress and prospects. Lectures given at theC.I.M.E. Summer School held in Cetraro, August 29 - September 3, 2005. (withFlandoli, Franco ; Sinai, Yakov G. ) Edited by Giuseppe Da Prato and MichaelRöckner. Lecture notes in Mathematics, 1942. Springer Verlag, Berlin ; Fon-dazione C.I.M.E., Florence, 2008 viii+166pp. ISBN: 978-3-540-78492-0
955. Theory of p-adic distributions: Linear and nonlinear Models (with A.Y. Khren-nikov, V.M. Shelkovich), Cambridge Univ. Press (2010)
956. Mathematical Physics at Saint-Flour, (with Hans Föllmer, Leonard Gross andEdwin Nelson) Probability at Saint-Flour, Springer (2012)
Edited Books
957. Feynman Path Integrals, Proc. Marseille 1978 (Lect. Notes in Physics 106,Springer, Berlin (1979)) (with Ph. Combe, R. Høegh-Krohn, G. Rideau, M.Sirugue-Collin, M. Sirugue, R. Stora).
958. Stochastic processes in quantum theory and statistical mechanics, Proc. Mar-seille 1981, (with Ph. Combe, M. Sirugue-Collin), Lect. Notes Physics 173,Springer, Berlin (1982).
959. Resonances — Models and Phenomena, Bielefeld 1984 (with L.S. Ferreira, L.Streit), Lect. Notes in Physics 211, Springer, Berlin (1984).
960. “Trends and Developments in the Eighties”, Proceedings IVth and Vth BielefeldEncounters (World Scientific, Singapore, 1985), (with Ph. Blanchard).
961. Stochastic Aspects of Classical and Quantum Systems, Marseille 1983 (II. En-counter between mathematicians and mathematical physicists of the Federal Re-public of Germany and France), (with Ph. Combe, M. Sirugue-Collin), Lect.Notes in Mathematics 1109, Springer, Berlin (1985).
962. Infinite dimensional analysis and stochastic processes, Pitman Research NotesMaths. 124, Boston-London (1985).
963. Stochastic Processes—Mathematics and Physics, BiBoS–Symposium 1, Lect.Notes Maths. 1158, Springer, Berlin (1985), (with Ph. Blanchard, L. Streit).
964. Stochastic Processes in Classical and Quantum Systems, Proc. Ascona Confer-ence 1985, Lect. Notes Phys. 262, Springer, Berlin (1986), (with G. Casati, D.Merlini).
965. Stochastic Processes—Mathematics and Physics, BiBoS–Symposium 2, Lect.Notes Maths. 1250, Springer, Berlin (1987), (with Ph. Blanchard, L. Streit).
966. Stochastic Processes in Physics and Engineering, BiBoS–Symposium 4 (withPh. Blanchard, M. Hazewinkel, L. Streit), D. Reidel, Dordrecht (1988).
75
967. Interazioni fra matematica e fisica nell’ambito di alcune problematiche attuali(with V. Cattaneo, D. Merlini, R. Moresi, P. Venzi), CERFIM, Anno 10, Vol 1(1988)
968. Stochastic Processes and their Applications in Mathematics and Physics,BiBoS–Symposium 3, Kluwer, Dordrecht (1990), (with Ph. Blanchard, L.Streit).
969. Stochastic Processes, Physics and Geometry, Proc. Ascona 1988, World Scient.Singapore (1990) (with G. Casati, U. Cattaneo, D. Merlini, R. Moresi).
970. Stochastics, Algebra and Analysis in Classical and Quantum Dynamics, (withPh. Blanchard, D. Testard), Kluwer, Dordrecht (1990)
971. Ideas and Methods in Mathematical Analysis, Stochastics and Applications,Raphael Høegh-Krohn Memorial Volume 1, Cambridge University Press, (1992)(with J.E. Fenstad, H. Holden, T. Lindstrøm).
972. Ideas and Methods in Quantum and Statistical Physics, Raphael Høegh-KrohnMemorial Volume 2, Cambridge University Press, (1992) (with J.E. Fenstad, H.Holden, T. Lindstrøm).
973. Advances in analysis, probability and mathematical physics (with M. Wolff,W.A.J. Luxemburg), Kluwer Acad. Publ., Dordrecht 1995
974. Stochastic Processes, Physics and Geometry II, Proc. Locarno 1991, World Sci-ent. Singapore (1995) (with U. Cattaneo, D. Merlini, R. Tartini)
975. Advances in dynamical systems and quantum physics. Proceedings of the con-ference, Capri, Italy, May 19–22, 1993, (with R. Figari, E. Orlandi, A. Teta),World Scientific, Singapore (1995)
976. Mathematical physics and stochastic analysis, Essays in honour of LudwigStreit. Including papers from the conference held in Lisbon, October 1998, (withPh. Blanchard, L. Ferreira, T. Hida, Y. Kondratiev, R. Vilela Mendes), World Sci.Pub., River Edge NJ (2000)
977. Operator methods in ordinary and partial differential equations. Proceedings ofthe S. Kovalevsky symposium, Stockholm, Sweden, June 2000, (with N. Elander,W.N. Everitt, P. Kurasov), Operator Theory: Advances and Applications, 132,Birkhäuser, Basel (2002)
978. Parabolicity, Volterra calculus, and conical singularities. A volume of advancesin partial differential equations, (with M. Demuth, E. Schrohe, B.-W. Schulze),Operator Theory: Advances and Applications, 138, Birkhäuser, Basel (2002)
979. Nonlinear hyperbolic equations, spectral theory, and wavelet transformations,(with M. Demuth, E. Schrohe and B.-W. Schulze), Operator Theory: Advancesand Applications, 145, Birkhäuser, Basel (2003)
76
980. Recent Developments in Stochastic Analysis and Related Topics. Proceedingsof the first Sino-German conference on stochastic analysis, Beijing, China, 29August – 3 September 2002, (with Z.-M. Ma, M. Röckner), World Scientific(2004)
981. Proceedings of the International Conference on Stochastic Analysis and Applica-tions. Hammamet, October 22-27, 2001, (with A.B. de Monvel, H. Ouerdiane),Kluwer Academ. Publ., Dordrecht (2004)
982. Entanglement and decoherence: mathematics and physics of quantum informa-tion and computation, Abstracts from the workshop held January 23-29, 2005,Oberwolfach Rep., 2, no. 1, 185-255
983. Traces in Geometry, Number Theory and Quantum Fields (with M. Marcolli, S.Paycha, J. Plazas), Vieweg (2008)
984. Extreme events in nature and society (with V. Jentsch, H. Kantz), Springer, Berlin(2006)
985. Foundations of Mathematics today, Note di Matematica, Storia, Cultura, (withF. Minazzi), PRISTEMStoria 14/15 (2006)
986. The Dynamics of the Complex Urban Systems: An interdisciplinary approach(with A. Vancheri, P. Giordano, D. Andrey) Springer, Heidelberg (2007)
987. Quantum Information and Entanglement, (with Shao-Ming Fei, Adan Cabello,Nai-Huan Jing and Debashish Goswami) Advances in Mathematical Physics Vol.2010
988. Direction of Time, (with Ph. Blanchard), Springer, Berlin (2010)
989. Stochastic Geometric Mechanics, (with Cruzeiro, A. B.; Holm, D.), Springer,Berlin (2017)
Books in Preparation
990. Markov fields and quantum fields, (with M. Röckner, B. Zegarlinski)
991. Singular Perturbations of Linear Operators and Applications, (with J.F. Brasche,V. Koshmanenko, H. Neidhardt)
992. Mathematical Theory of Neural Networks, (with J. Feng, B. Tirozzi)
993. Field Theory: from classical to quantum- A mathematical approach, (with A.Sengupta)
994. Il pensiero matematico, (with F. Mazzini, D. Noja)
995. Stochastic processes on p-adics (with W. K. Kawarwowski; K. Yasuda; X. L.Zhao)
77
996. Modelli matematici per il territorio, (with P. Giordano, A. Vancheri), Milano:Springer
997. Mathematical Functional Integration- A unified approach to probabilistic andoscillatory infinite dimensional integrals , (with S. Mazzucchi)
998. Asymptotic analysis of probabilistic integrals in infinite dimensions (with V. Ste-bloviskaya)
999. Cosurfaces: stochastic Markovian and (with J.P. Magnot; A. Sengupta)
Other Publications
1000. Several articles (in particular one on Albert Camus), in Num. Unico. Circ.Stud., Lugano (1957,1958)
1001. Articles in Zürcher Stud. (1960), (One on the movie "On the Beach" byS. Kramer (7, 245-248) and one on the problem of antisemitism (with G.Polacco)(8, 344-347))
1002. Problematica sul tema umanesimo e tecnica, (with E. Castellani), Cenobio, Fasc.Spec., 29-48 (1962)
1003. Galileo e lo sviluppo della scienza moderna, Riv. Tecnica Svizz. Ital. 6, 69-71(1984)
1004. Universita in Ticino: non dimentichiamo le scienze esatte, (with G. Losa), Corr.d. Tic. (Sep. 1992)
1005. Preface to the book G. Gomez, "Dynamic probabilistic models and social struc-ture - Essays on socioeconomic continuity", Kluwer Acad. Press, Dordrecht(1992)
1006. E se creassimo davvero una buona Universita in Ticino?, (with G. Losa), Corr.d. Tic, (21 May 1994)
1007. Interdisciplinarità, matematica e progetti universitari, pp. 45-52 in A. Petralli,S. Vassere, eds., "L’Università della comunicazione", Atti Convegno, Ascona,Monte Verità, (1994)
1008. Universita, discorsi critici e interdisciplinarita, La Regione, (3. June 1995)
1009. Preface to the book B. Tirozzi, "Modelli matematici di reti neurali", CEDAM,Padova (1995)
1010. Come orientarsi in un mondo complesso- Considerazione sull’opportunita diun approccio interdisciplinare, pp. 2-5 in "Quaderni dell’aggiornamento", Lariforma degli studi liceali, Numero Speciale, Aprile 1997, IAA, Locarno (1997)
78
1011. Some remarks on pragmatism, mathematics and some recent debates on scienceand culture, (with M. Carrier, J. Roggenhofer, G. Küppers, Ph. Blanchard, eds.)Knowledge and the world: Challenges beyond the science wars pp.98-104 Proc.Conf. ZiF Bielefeld, Springer, Berlin (2004)
1012. Alcune riflessioni sui problemi attuali dell’università e della ricerca, in"L’Universitá oggi : quali prospettive?", Atti Convegno Lugano, giugno 2005.Il Protagora, a. XXXIV, gennaio-giugno 2006, quinta serie, n. 7, pp. 25-32(2006)
1013. Modelli matematici per la simulazione della dinamica dei sistemi urbani (withA. Vancheri, P. Giordano, D. Andrey) Archi nr. 2, Casagrande, Bellinzona, pp.67-69 (2006)
1014. A review of non-trivial models of QFT with indefinite metric (with H.Gottschalk), Enc. Math. Phys.
1015. Scienza, Tecnica e potere, pp 29-37 in Proc. "Low Power Society, not Low PriceSociety", Atti del Convegno, Ascona, Monte Verità 2008, AlchimiArte, Muralto,ELR Edizioni Le Ricerche, Losone (2009)
1016. Progresso scientifico, mercificazione della conoscenza e problematiche dellosviluppo, pp 15-20 in "La fine di una credenza verso l’era del doposviluppo",Monte Verità, Ascona, Cenobio, (2007)
79
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