Anatoly Vershik Head of the Laboratory of Representation Theory and Computational Mathematics, St.Petersburg Department of Steklov Institute of Mathematics, 27 Fontanka, St.Petersburg 191023, Russia Professor of the Chair of Mathematical Analysis, Department of Mathematics and Mechanics, St.Petersburg State University Phone: +7(812) 312-88-29 Fax:     +7(812) 310-53-77 E-mail : vershik@pdmi.ras.ru

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Most recent papers Totally nonfree actions and the infinite symmetric group. To appear in Moscow Math. J. 12, No. 1 (2012). The Pascal automorphism has a continuous spectrum. Funct. Anal. Appl. 45, No. 3, 173-186 (2011). Description of characters and factor representations of the infinite symmetric inverse semigroup (with P.P.Nikitin). Funct. Anal. Appl. 45, No. 1, 13-24 (2011). Poisson model of the Fock space and representations of groups of currents (with M.I.Graev). Algebra i Analiz 23, No. 3, 63-136 (2011). Scaling entropy and automorphisms with purely point spectrum. Algebra i Analiz 23, No. 1, 111-135 (2011). Stable representations of the infinite symmetric group (with N.I.Nessonov). PDMI Preprint 14/2010 (2010) [in Russian]. Nonfree actions of countable groups and their characters. Zapiski Nauchn. Semin. POMI 378, 5-16 (2010). English translation: J. Math. Sci. 174, No. 1, 1-6 (2011). Dynamics of metrics in measure spaces and their asymptotic invariants. Markov Processes and Related Fields 16, No. 1, 169-185 (2010). Orbit theory, locally finite permutations and Morse arithmetic. In: Dynamical Numbers: Interplay between Dynamical Systems and Number Theory, Contemp. Math. 532, (2010), pp. 115--136. Israel Moiseevich Gelfand, my correspondence advisor [in Russian]. To appear in Notices of the AMS. Approximation of the maximal commutative subgroups of GL(n, R) (with O.Karpenkov). J. Fixed Point Theory 7, No. 1, 241-263 (2010). The Word and Geodesic Problems in Free Solvable Groups (with A.Myasnikov, V.Roman'kov, and A.Ushakov). Trans. Amer. Math. Soc. 362, 4655-4682 (2010). Uncountable graphs and invariant measures on the set of universal countable graphs (with F.V.Petrov) Random Structures and Algorithms 37, No. 3, 389-406 (2010). Numerical experiments in problems of asymptotic representation theory (with D.Pavlov). Zapiski Nauchn. Semin. POMI 373, 77-93 (2009). English translation: J. Math. Sci. (New York) 168, No. 3, 351-361 (2010). Integral models of representations of the current groups of simple Lie groups (with M.I.Graev). Uspekhi Mat. Nauk 64, No. 2 (686), 5-72 (2009).