Birth date: 28.12.1933
Website: https://www.pdmi.ras.ru/~vershik
UDC: 512.58, 519.4, 517.5, 519.35, 513.88, 514.15, 519.216, 517.986, 519.2, 51(09), 517.986.4, 514.8, 514.1, 515.162.8, 517.987, 512.547, 512.54, 514.74, 517.518, 512, 519.62, 517.994, 511, 517.98, 517.4, 519.12
MSC: 37A15, 20B35, 22D40

Subject:

Ergodic theory, dynamical systems, symbolic dynamics, nonholonomic dynamics; representation theory and its applications, asymptotic representation theory, infinite-dimensional groups, C*-algebras; combinatorics, symmetric groups, approximations in algebra; measure theory, statistics and asymptotics in combinatorics; convex geometry, discrete geometry, subriemannian geometry; linear and nonlinear programming, optimization.

Main publications:

1. A. Vershik, “Polymorphisms, Markov processes, and quasi-similarity”, Discrete Contin. Dyn. Syst., 13:5 (2005), 1305–1324      
2. A. Vershik, “Sluchainye metricheskie prostranstva i universalnost”, Uspekhi matematicheskikh nauk, 59:2 (2004), 65–104    
3. A. Vershik, “Totally nonfree actions and the infinite symmetric group”, Moscow Math. J., 12:1 (2012), 204–220  
4. A. Vershik, “Dynamics of metrics in measure spaces and their asymptotic invariants”, Markov Processes and Related Fields, 16:1 (2010), 169–185  

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
• St. Petersburg Mathematical Society
• Saint Petersburg State University
• Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
• Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
• Max Planck Institute for Mathematics, Bonn
• International Erwin Schrödinger Institute for Mathematical Physics