
Most recent papers
 A method of defining central and Gibbs measures and the ergodic method.
PDMI preprint 01/2021 (2021). To appear in Dokl. Akad. Nauk.

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, 3342 (2021).

The history of V.A.Rokhlin's ergodic seminar (19601970).
Zapiski Nauchn. Semin. POMI 498, 105120 (2020).
English translation.

V.A.Rokhlin (23 August 1919  3 December 1984), materials for the biography.
In: Topology, Geometry, Dynamics. Rokhlin’s Memorial. To appear in Amer. Math. Soc.

Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux.
Funktsional. Anal. i Prilozhen. 54, No. 2, 234 (2020).

The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group
(with N.V.Tsilevich and S.Yuzvinsky).
PDMI Preprint 06/2019 (2019).

Groups generated by involutions of diamondshaped graphs,
and deformations of Young’s orthogonal form (with N.V.Tsilevich).
Zapiski Nauchn. Semin. POMI 481, 2938 (2019).

The problem of
combinatorial encoding of a continuous dynamics and the notion of transfer of paths in graphs.
Zapiski Nauchn. Semin. POMI 481, 1228 (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 (11.10.193314.02.2014) [in Russian].
In: Tynyanovskiy Sbornik, No. 15, MoscowEkaterinburg (2019),
pp. 459461.

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, 1131 (2019).

Three theorems on the uniqueness of a Plancherel measure from different viewpoints.
Proc. Steklov Inst. Math. 305, 6377 (2019).

The absolute of finitely generated groups: I. Commutative (semi)groups (with
A.V.Malyutin).
European J. Math. 4, No. 4, 14791490 (2018).

The asymptotic behavior of the number of geodesics in the discrete Heisenberg group
(with A.V.Malyutin).
Zapiski Nauchn. Semin. POMI 468, 3952 (2018).

On a universal Borel adic space (with P.B.Zatitskii).
Zapiski Nauchn. Semin. POMI 468, 2438 (2018).

Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph (with P.B.Zatitskii).
Funct. Anal. Appl. 52, No. 4, 2337 (2018).

The absolute of finitely generated groups: II. The Laplacian part and degenerate part (with
A.V.Malyutin).
Funct. Anal. Appl. 52, No. 3, 321 (2018).

On the decomposition of tensor representations of symmetric groups (with
P.P.Nikitin and N.V.Tsilevich).
Algebras and Representation Theory 22, No. 4, 895908 (2019).

Corrigendum to the paper "A new approach to the representation theory of the symmetric groups. IV. Z2graded groups and algebras"
(with A.Sergeev).
Moscow Math. J. 18, No. 1, 187 (2018).

Infinite geodesics in the discrete Heisenberg group
(with A.V.Malyutin).
Zapiski Nauchn. Semin. POMI 462, 3951 (2017).

Nonunitary representations of the groups of U(p,q)currents for q ≥ p>1
(with M.I.Graev).
Zapiski Nauchn. Semin. POMI 462, 538 (2017).

Duality and free measures in vector spaces; spectral theory and
the actions of non locally compact groups.
Zapiski Nauchn. Semin. POMI 457, 74100 (2017).

Universal adic approximation, invariant measures and scaled entropy (with P.B.Zatitskiy).
Izv. Math.
81, No. 4, 734770 (2017).

The theory of filtrations of subalgebras, standardness, and independence.
Russian Math. Surveys
72, No. 2, 257333 (2017).

Does a freedom of the choice exist in mathematics?
In: Proceedings of the International Conference "Philosophy, Mathematics, Linguistics: Aspects of Interaction", St.Petersburg, 2014.

About Grisha Mints,
IfColog Journal of Logics and Their Applications
4, No. 42017, 841843.

An interview for the magazine "Ogonyok"
(in Russian),
Ogonyok, No. 4(5451), January 30, 2017, pp. 2830.

On the relation of some combinatorial functions to representation theory
(with N.V.Tsilevich).
Funct. Anal. Appl. 51, No. 1, 2839 (2017).
