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![Page 1: (- ∞ ) General Background: The Microscopic Representation of Complex Macroscopic Phenomena,, Annual Reviews of Computational Physics II p 243, ed D. Stauffer,](https://reader035.fdocuments.in/reader035/viewer/2022062304/56649ebd5503460f94bc730b/html5/thumbnails/1.jpg)
(-∞) General Background:The Microscopic Representation of Complex Macroscopic Phenomena, , Annual Reviews of Computational Physics II p 243, ed D. Stauffer, World Scientific 1995
Complexity a Science at 30, Europhysics News Feb-March 2003 p54
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(-∞) General Background:The Microscopic Representation of Complex Macroscopic Phenomena, , Annual Reviews of Computational Physics II p 243, ed D. Stauffer, World Scientific 1995
Complexity a Science at 30, Europhysics News Feb-March 2003 p54
Fig 1 Map of Complexity and its Neighbouring Fields (for a more detailed interactive version see http://complexity.cogniview.com/MapIndex.html )
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-1) Realistic Market Modeling Platforms (Lev) A microscopic model of the stock market; Cycles, booms and crashes, Economics Letters 45 (1994) 103-111. Behaviorally realistic simulations of stock markets; Traders with a soul, Computer Physics Communications 121-122 (1999) 161 . http://xxx.lanl.gov/abs/adap-org/9901003Microscopic Simulation of Financial Markets, Academic Press, New York, 2000.
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Kahneman-Tversky
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Lev Thesis; The string market: Statistical Mechanics of Conventional Traders May Lead to Non-Conventional Market Behavior, Physica Scripta. Vol. T106, 41, 2003
Market 'spikes' are seen by traders as freak events.Physicists expect them, Thursday
October 3, 2002
Stock market shock explainedPhysicists model recent trading frenzy.
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Lev; Frantisek; The Interacting Gaps Model: Physica A 330 (2003) 232. Given offered prices around current price at intervals
Limit orderLimit order (left unsaturated at current price)
Limit order
1 ii nn 1 jj nn
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One may have a new limit order close to the current price: changing the price by 1 tick
Limit orderLimit orderLimit order
1 jj nn1 ii nn
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Or one may have a new market order that eliminates the order at the current price and goes to the first neighbor:
Limit orderLimit orderLimit order
1 jii nnn1jn
and
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Or one may have a new market order that eliminates the order
at the current price and goes to the first neighbor followed by the next limit order
Limit orderLimit orderLimit order
1 jii nnn1jn
and
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Else one may have a new market order that eliminates the order at the current
price at the common price and goes to the first neighbor followed by the next limit order
Limit orderLimit orderLimit order
1 jii nnn1jn
and
Mnn2
11
2
1
If one has M limit orders per Market order, the distribution of interval lengths is
A power laws with exponent given by the implicit transcendental equation:
For M~1 one gets ~1.9 consistent with the market data
and not with the continuous approx
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0) Social Critical Percolation, Social percolation models Physica A: 277 (1-2) (2000) 239 http://shum.huji.ac.il/~sorin/soc-per.ps GerardSocial Percolators and Self Organized Criticality in Handbook of Graphs and Networks: From the Genome to the Internet, p.113 eds. S. Bornholdt and H. G. Schuster, Wiley-VCH, Berlin, 2002. Anti-Percolation; antivirus ; Parallel Networks (SN); herding (Tom help)
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Density of potential adopters: 26 /48 > 50%
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Percolation transition
From non-sales at all to a lot of sales
Infinitely sharp at infinite size system
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0) Social Critical Percolation, Social percolation models Physica A: 277 (1-2) (2000) 239 http://shum.huji.ac.il/~sorin/soc-per.ps GerardSocial Percolators and Self Organized Criticality in Handbook of Graphs and Networks: From the Genome to the Internet, p.113 eds. S. Bornholdt and H. G. Schuster, Wiley-VCH, Berlin, 2002. Anti-Percolation; antivirus ; Parallel Networks (SN); herding (Tom help)
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prob
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Effects of
Expectations Adaptation
Self tunning to criticality
Fractal fluctuations
and correlations
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ALSO: effects of
Expectations Adaptation
Fractal space-time fluctuationsProduct Success prediction (15/ 17)
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Resistance
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Resistant
AcceptantAcceptedalready
Acceptant
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Resistant
Acceptedalready
Acceptant
Acceptant
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Resistant
Acceptedalready
Acceptant
Acceptant blocked
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Resistant
Acceptedalready
Acceptant
Acceptant blocked
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Resistance
Resistant
Acceptedalready
Acceptant
Acceptant
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“ANTI-Percolation”
Antivirus
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Parallel Networks
Consumption;
Home
Workplace
Expectations
Consumption;
No herding
Expectations
No herding
+
Consumption+Expectations=Herding
home
work
Consumption;
Home
Workplace
Expectations
home
work
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0.1 Testing the Turing Test; Do Men Pass the Humanity Test? International Journal of Modern Physics C (Ruthy; to appear)
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3) Can one predict and verify predictions in Economics?Connecting wealth distribution exponent to market returns exponent
Pioneers on a new continent: on physics and economicsQuantitative Finance (IoP) Vol 3, No 1, C12 Feb 2003
2) Stability of Pareto-Zipf law in non-stationary economies in: Economics with heterogeneous interacting agents, ed. A.Kirman and J.B. Zimmermann, Lecture Notes in Economics and Mathematical Systems, Springer, 2001 p 141 http://xxx.lanl.gov/abs/cond-mat/012479 Co-Evolutionist Stochastic Dynamics: Emergence of Power-LawsPower-laws in stochastic Lotka-Volterra-Eigen-Schuster Systems in: "Towards Cognitive Economics", Eds: P. Bourgine and J.-P. Nadal, Springer (2003).
Go To special presentation
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4) AB- Model, Emergence of Localized, Adaptive, Resilient objects from Noise, The importance of being discrete: Life always wins on the surface Proc. Natl. Acad. Sci. USA, Vol. 97, Issue 19, 10322-10324, September 12, 2000 http://xxx.lanl.gov/abs/adap-org/9912005
The risk of being unfair, the unstable fate of globalization (2003) Artific Life 4(9) 357
Innovations Refuse to Die:-The Unforeseen Longevity of Society Fundamental Ideas.(2004) Technological forecasting and Social Change In press The Immune self; Emergence of the Body Self-Cognition Proliferation and competition in discrete biological systems. (2003) Bulletin of mathematical biology 65(3) 375-396
Go To special presentation
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5) Artificial Creativity Creative Sparks Science 285: 1495-1496, 1999; http://shum.huji.ac.il/~sorin/creative-sparks.htm
Communication at the speed of sound
Herald Tribune
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6) Diagonal Link and Novelty EmergenceTemplates of original innovation: Projecting original incremental innovations from intrinsic information (1999) Technological Forecasting and Social Change, May, Vol. 61/1 P. 1-12.
7) What are Stories made of?What Are Stories Made Of? Quantitative Categorical Deconstruction of Creation International Journal of Modern Physics C, Vol. 11, No. 4 (2000) 827-835 http://xxx.lanl.gov/abs/cond-mat/0008192
Figure 2b: General scheme underlying the replacement version of the pictorial analogy template
Symbols set
Symbol 1 Symbol 2 Symbol 3
Product Message
Product space
P1
P2
P3 Matching by a linking operator
?
P4
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8) Traces of Mind; Emergence of Meaning in Drawings Emergence of Representation in Drawing: The Relation Between Kinematic and Referential Aspects Cognitive Development 13, 25-51 (1998)
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9) Microscopic Seers and the emergence of 3 d visionRestricted Ability to Recover 3D Global Motion from 1 D Motion Signals: Theoretical Observations, Vision Research 35 (1995) 569-578.
10) Complexity Faces the Music. Structures of the Mind and Universal Music Science 2001 June 29; 292: 2433 http://shum.huji.ac.il/~sorin/structures.htm
11) Solving Traffic Jams: Human Intervention or Self-Organization? International Journal of Modern Physics, Vol. 14, No. 8 p 1007
12) Living Tree of knowledge; DiscussionDistrict; Self-mapping, Self-Organization and Dynamical Ontology of Communities
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13) Networks and K-cores scaling
14) Genetic vs Internet network;
100
101
103
104
105
106
= -2.99
2) Clusters vs. cores
core #
K~(1+ L/M)
A
BC
DC
A
36546, Z=46
B
253270, Z=23
826, Z=2.83 442, Z=2.22
Surf->linkCopy of gene at other location