April 27-May 1, 2015

IMA Workshops

OrgAnIzers

sergey Bobkov, University of Minnesota, Twin Citiessergei Kislyakov, Russian Academy of SciencesMichel Ledoux, Université de Toulouse (Paul Sabatier)Andrei zaitsev, Russian Academy of Sciences

speAKersDominique Bakry, Université de Toulouse (Paul Sabatier)

paul Bourgade, Courant Institute of Mathematical Sciences

Andrea Colesanti, (Università di Firenze

partha Dey, University of Illinois at Urbana-Champaign

Wilfrid gangbo, Georgia Institute of Technology

Maria gordina, University of Connecticut

steve Heilman, University of California, Los Angeles

Alexander Koldobsky, University of Missouri

Mikhail Lifshits, St. Petersburg State University

robert McCann, University of Toronto

Fedor nazarov, Kent State University

giovanni peccati, University of Luxembourg

Magda peligrad, University of Cincinnati

Brian rider, University of Colorado

Cyril roberto, Université Paris Ouest

paolo salani, Università di Firenze

paul-Marie samson, Université Paris-Est

Alexander Tikhomirov, Russian Academy of Sciences

elisabeth Werner, University of Minnesota Twin Cities

Jun Yin, University of Wisconsin, Madison

Analytic Tools in probability and Applications

Fundamental achievements over the last three decades by V. Milman, M. Gromov, and M. Talagrand on asymptotic geometric analysis and isoperimetry for product measures emphasized central analytic tools and ideas in the investigation of probabilistic models. Simultaneously, the analysis and geometry of Markov operators and new striking developments in optimal transportation extended the range of methods and results to a wide spectrum of mathematics, including convex geometry, probability theory, and statistical mechanics. The scope of the workshop is to strengthen these powerful methods towards challenging issues and applications, in particular the KLS conjectureon log-concave measures or super-concentration properties of models from random matrixtheory and statistical mechanics. New perspectives motivated by these applications strongly favor the analysis of discrete models. The workshop will bring together researchers and experts from a broad spectrum in analysis and probability theory to work toward new developments.

www.ima.umn.edu/2014-2015/W4.27-5.1.15

The IMA is a NSF-funded institute