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 Special representations of nilpotent Lie groups and the associated Poisson representations of current groups (with M.I.Graev). Moscow Math. J. 13, No. 2, 345-360 (2013). New developments in the theory of metric spaces (in Russian). In: Proceedings of the Globus Seminar, Vol. 6, MCCME, Moscow (2013). Several thoughts on Arnold (in Russian). Smooth and non-smooth AF-algebras and a problem on invariant measures. To appear in Proceedings of the St. Petersburg School in Probability and Statistical Physics (June 2012). Two ways to define compatible metrics on the simplex of measures. To appear in Zapiski Nauchn. Semin. POMI 411 (2013). An interview for the Russian political news channel polit.ru: Part I, Part II (in Russian). Between "very large" and "infinite": the asymptotic representation theory. To appear in Probability and Mathematical Statistics. Geometry and dynamics of admissible metrics in measure spaces (with F.Petrov and P.Zatitskiy). Central Europ. J. Math. 11, No. 3, 379-400 (2013). Gelfand, My Inspiration. Notices AMS, 60, No. 1, 32-38 (2013). Nonsingular transformations of the symmetric Levy processes (with N.V.Smorodina), Zapiski Nauchn. Semin. POMI 408, 102-114 (2012). English version to appear in J. Math. Sci. On classification of measurable functions of several variables, Zapiski Nauchn. Semin. POMI 403, 35-57 (2012). English version to appear in J. Math. Sci.190, No. 3 (2013). Finite traces and representations of the group of infinite matrices over a finite field (with V.Gorin and S.Kerov). Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator (with N.V.Tsilevich). PDMI preprint 16/2012 (2012). Leonid Vital'evich Kantorovich (on the 100th anniversary of his birth) (with S.S.Kutateladze and S.P. Novikov). Russian Math. Surveys 67, No. 3, 589 (2012). Russian preprint version. Representation of the infinite-dimensional groups of rank one (with M.I.Graev). Moscow Math. J. 12, No. 3, 117-129 (2012). ArXiv version. C^*-algebras associated with endomorphisms and polymorphisms of compact abelian groups (with J.Cuntz). To appear in Comm. Math. Phys. Special representations of the groups U(∞,1) and O(∞,1) and related representations of the current groups U(∞,1)X and O(∞,1)X in a quasi-Poisson space (with M.I.Graev). Funct. Anal. Appl. 46, No. 1, 1-10 (2012). Stable states and representations of the infinite symmetric group (with N.I.Nessonov). Dokl. Math. 86, No. 1, 450-453 (2012). Totally nonfree actions and the infinite symmetric group. Moscow Math. J. 12, No. 1, 193-212 (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). 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).