Anatoly Vershik Head of the Laboratory of Representation Theory and Dynamical Systems, 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 : avershik@gmail.com

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Most recent papers Central measures of continuous graded graphs: the case of distinct frequencies (with F.V.Petrov). European J. Math 8, No. 2, 481–493 (2022). One-dimensional central measures on numberings of ordered sets. Funct. Anal. Appl. 56, No. 4, 17-24 (2022). Spectrum and absolute of the graph of two-row Young diagrams (in Russian) Zapiski Nauchn. Semin. POMI 517, 55-69 (2022). The Schur-Weyl graph and Thoma's theorem (with N.V.Tsilevich). Funct. Anal. Appl. 55, No. 3, 26-41 (2021). Groups generated by involutions, numberings of posets, and central measures. Uspekhi Mat. Nauk 76, No.4, 143-144 (2021). A method of defining central and Gibbs measures and the ergodic method. Dokl. Akad. Nauk 497, 30-34 (2021). The paper in Russian. Two prefaces and About Victor Abramovich Zalgaller (in Russian). In: War and Peace of the St.Petersburg Mathematician V.A.Zalgaller, Aurora, St.Petersburg, 2021. Ergodicity and totality of partitions associated with the RSK correspondence (with N.V.Tsilevich). Funct. Anal. Appl. 55, No. 1, 33-42 (2021). The history of V.A.Rokhlin's ergodic seminar (1960-1970). Zapiski Nauchn. Semin. POMI 498, 105-120 (2020). English translation. V.A.Rokhlin (23 August 1919 - 3 December 1984), materials for the biography. Contemp. Math. 772 (2021). Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux. Funktsional. Anal. i Prilozhen. 54, No. 2, 2-34 (2020). The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group (with N.V.Tsilevich and S.Yuzvinsky). Arnold Math. J. 6, 173-187 (2020). Groups generated by involutions of diamond-shaped graphs, and deformations of Young’s orthogonal form (with N.V.Tsilevich). Zapiski Nauchn. Semin. POMI 481, 29-38 (2019). The problem of combinatorial encoding of a continuous dynamics and the notion of transfer of paths in graphs. Zapiski Nauchn. Semin. POMI 481, 12-28 (2019). Video: On the history of the theorem on the limit shape of Young diagrams with respect to the Plancherel measure [in Russian]. Talk at the St. Petersburg Seminar on Representation Theory and Dynamical Systems, October 30, 2019. Nikolai Veniaminovich Kaverin (11.10.1933-14.02.2014) [in Russian]. In: Tynyanovskiy Sbornik, No. 15, Moscow-Ekaterinburg (2019), pp. 459-461. The asymptotics of the partition of the cube into Weyl simplices, and an encoding of a Bernoulli scheme. Funktsional. Anal. i Prilozhen. 53, No. 2, 11-31 (2019). Three theorems on the uniqueness of a Plancherel measure from different viewpoints. Proc. Steklov Inst. Math. 305, 63-77 (2019). On the decomposition of tensor representations of symmetric groups (with P.P.Nikitin and N.V.Tsilevich). Algebras and Representation Theory 22, No. 4, 895-908 (2019).