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
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.
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, 2-34 (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 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).
The absolute of finitely generated groups: I. Commutative (semi)groups (with
European J. Math. 4, No. 4, 1479-1490 (2018).
The asymptotic behavior of the number of geodesics in the discrete Heisenberg group
Zapiski Nauchn. Semin. POMI 468, 39-52 (2018).
On a universal Borel adic space (with P.B.Zatitskii).
Zapiski Nauchn. Semin. POMI 468, 24-38 (2018).
Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph (with P.B.Zatitskii).
Funct. Anal. Appl. 52, No. 4, 23-37 (2018).
The absolute of finitely generated groups: II. The Laplacian part and degenerate part (with
Funct. Anal. Appl. 52, No. 3, 3-21 (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, 895-908 (2019).
Corrigendum to the paper "A new approach to the representation theory of the symmetric groups. IV. Z2-graded groups and algebras"
Moscow Math. J. 18, No. 1, 187 (2018).
Infinite geodesics in the discrete Heisenberg group
Zapiski Nauchn. Semin. POMI 462, 39-51 (2017).
Nonunitary representations of the groups of U(p,q)-currents for q ≥ p>1
Zapiski Nauchn. Semin. POMI 462, 5-38 (2017).
Duality and free measures in vector spaces; spectral theory and
the actions of non locally compact groups.
Zapiski Nauchn. Semin. POMI 457, 74-100 (2017).
Universal adic approximation, invariant measures and scaled entropy (with P.B.Zatitskiy).
81, No. 4, 734-770 (2017).
The theory of filtrations of subalgebras, standardness, and independence.
Russian Math. Surveys
72, No. 2, 257-333 (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, 841-843.
An interview for the magazine "Ogonyok"
Ogonyok, No. 4(5451), January 30, 2017, pp. 28-30.
On the relation of some combinatorial functions to representation theory
Funct. Anal. Appl. 51, No. 1, 28-39 (2017).