Most recent papers
- The Schur-Weyl graph and Thoma's theorem (with
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
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).
V.A.Rokhlin (23 August 1919 - 3 December 1984), materials for the biography.
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).
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),
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).