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

Most recent papers List of publications Research interests Curriculum Vitae Service to the community Seminars

Most recent papers Orbit theory, locally finite permutations and Morse arithmetic. Preprint. Israel Moiseevich Gelfand, my correspondence advisor [in Russian]. To appear in Notices of the AMS. Dynamics of metrics in measure spaces and their asymptotic invariants. PDMI Preprint, No. 11 (2009). Approximation of the maximal commutative subgroups of GL(n, R) (with O.Karpenkov). PDMI Preprint, No. 8 (2009). To appear in J. Fixed Point Theory. Numerical experiments in problems of asymptotic representation theory (with D.Pavlov). PDMI Preprint, No. 5 (2009) [in Russian]. To appear in Zapiski Nauchn. Semin. POMI 373 (2009). 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). The adic realization of the Morse transformation and the extension of its action to the solenoid (with B.Solomyak). Zapiski Nauchn. Semin. POMI 360, 70-90 (2008). English translation: J. Math. Sci. (New York) 158, No. 6, 809-818 (2009). Integral models of unitary representations of current groups with values in semidirect products (with M.I.Graev). Funct. Anal. Appl. 42, No. 4, 279-289 (2008). The Word and Geodesic Problems in Free Solvable Groups (with A.Myasnikov, V.Roman'kov, and A.Ushakov). Preprint (2008). To appear in Trans. Amer. Math. Soc. (2009). Invariant measures for the continual Cartan subgroup J. Funct. Anal. 255, No. 9, 2661-2682 (2008). Invariant measures on the set of graphs and homogeneous uncountable universal graphs (with F.V.Petrov) PDMI preprint 08/2008 (2008). To appear in Random Structures and Algorithms. Integral representations of current groups (with M.I.Graev) Funct. Anal. Appl. 42, No. 1, 22-32 (2008). The behavior of the Laplace transform of the invariant measure on the hypersphere of high dimension J. Fixed Point Theory Appl. 3, No. 2, 317-329 (2008). Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of the Urysohn space Topology Appl. 155, No. 14, 1618-1626 (2008). A new approach to the representation theory of the symmetric groups. IV. Z_2-graded groups and algebras (with A.N.Sergeev). Moscow Math. J. 8, No. 4, 813-842 (2008). Poisson-Furstenberg boundary of the braid groups and Markov-Ivanovsky normal form (with A.V.Malyutin). Izvestiya RAN, Ser. Matem. 72, No. 6, 105-132 (2008). Algebraic polymorphisms (with K.Schmidt). Ergodic Theory Dynam. Systems 28, 633-642 (2008). Linearly rigid metric spaces and the embedding problem (with J.Melleray and F.V.Petrov). Fund. Math. 199, No. 2, 177-194 (2008). The local stationary presentation of the alternating groups and normal form (with M.Vsemirnov). J. Algebra 319, No. 10, 4222-4229 (2008).