2026 Anatoly Vershik: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	52	977	7	278	8925

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

977

278

8925

Research.com Recognitions

2015 - Member of Academia Europaea
2013 - Fellow of the American Mathematical Society

Overview

Anatoly Vershik was affiliated with St Petersburg University in the Russian Federation. Their research focused primarily on mathematics, with a specialization spanning several subfields including mathematical physics, geometry and topology, statistics and probability, discrete mathematics and combinatorics, and applied mathematics.

Their scholarly contributions covered a diverse range of topics within these areas, including:

Random Matrices and Applications
Advanced Combinatorial Mathematics
Advanced Algebra and Geometry
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Algebraic Structures and Combinatorial Models
Stochastic Processes and Statistical Mechanics

Anatoly Vershik's publication record featured frequent contributions to several mathematical journals and venues such as:

Journal of Mathematical Sciences
Functional Analysis and Its Applications
arXiv (Cornell University)
Russian Mathematical Surveys
Doklady Mathematics

Some of the recent research papers include:

"A Method of Defining Central and Gibbs Measures and the Ergodic Method" (2021), published in Doklady Mathematics
"Central measures of continuous graded graphs: the case of distinct frequencies" (2022), published in European Journal of Mathematics
"The History of V. A. Rokhlin's Ergodic Seminar (1960-1970)" (2021), published in Journal of Mathematical Sciences
"A Generalized Maxwell-Poincaré Lemma and Wishart Measures" (2022), published in Journal of Mathematical Sciences
"One-Dimensional Central Measures on Numberings of Ordered Sets" (2022), published in Functional Analysis and Its Applications

The scientist collaborated frequently with several other researchers, including Н. В. Цилевич, Fedor Petrov, Victor Matveevich Buchstaber, Andrey Malyutin, and Della Dumbaugh.

They also authored books published by notable academic publishers. One such book is "Topology, Geometry, and Dynamics," published by the American Mathematical Society in 2021.

During their career, Anatoly Vershik received distinctions such as being named a Fellow of the American Mathematical Society in 2013 and becoming a Member of Academia Europaea in 2015.

Best Publications

Random Walks on Discrete Groups: Boundary and Entropy

V. A. Kaimanovich;A. M. Vershik

919
Citations
A new approach to representation theory of symmetric groups

Andrei Okounkov;Anatoly Vershik

365
Citations
Asymptotic theory of characters of the symmetric group

A. M. Vershik;S. V. Kerov

359
Citations
Statistical mechanics of combinatorial partitions, and their limit shapes

Unknown

333
Citations
REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS

A M Vershik;I M Gel'fand;M I Graev

206
Citations
Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group

Unknown

196
Citations
Harmonic analysis on the infinite symmetric group. A deformation of the regular representation

S. Kerov;G. Olshanski;A. Vershik

161
Citations
Harmonic analysis on the infinite symmetric group

Sergei Kerov;Grigori Olshanski;Anatoly Vershik

160
Citations
REPRESENTATIONS OF THE GROUP SL(2, R), WHERE R IS A RING OF FUNCTIONS

A M Vershik;I M Gel'fand;M I Graev

157
Citations
Dynamic theory of growth in groups: Entropy, boundaries, examples

A M Vershik

136
Citations
An Infinite-Dimensional Analogue of the Lebesgue Measure and Distinguished Properties of the Gamma Process

Natalia Tsilevich;Anatoly Vershik;Marc Yor

129
Citations
KANTOROVICH METRIC: INITIAL HISTORY AND LITTLE-KNOWN APPLICATIONS

A. M. Vershik

129
Citations
Long History of the Monge-Kantorovich Transportation Problem

A. M. Vershik

124
Citations
Ergodic properties of the Erdös measure, the entropy of the goldenshift, and related problems

Nikita Sidorov;Anatoly Vershik

121
Citations
Some Characteristic Properties of Gaussian Stochastic Processes

A. M. Vershik

114
Citations
Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems)

M. V. Saveliev;A. M. Vershik

110
Citations
Random Metric Spaces and Universality

Anatoly M. Vershik

109
Citations
Nonholonomic problems and the theory of distributions

A. M. Vershik;V. Ya. Gershkovich

108
Citations
C -Algebras of Irreversible Dynamical Systems

R. Exel;A. Vershik

107
Citations
Adic models of ergodic transformations, spectral theory, substitutions, and related topics

A. Vershik;A. Livshits

107
Citations
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms

Richard Kenyon;Anatoly Vershik

98
Citations
A New Approach to the Representation Theory of the Symmetric Groups. II

A. M. Vershik;A. Yu. Okounkov

96
Citations

Frequent Co-Authors

Grigori Olshanski Institute for Information Transmission Problems

Sergio Albeverio University of Bonn

Marc Yor Sorbonne University

Alexei G. Myasnikov Stevens Institute of Technology

Ruy Exel Universidade Federal de Santa Catarina

Andrei Okounkov Columbia University

Ofer Zeitouni Weizmann Institute of Science

Vladimir Turaev Indiana University

Peter J. Cameron University of St Andrews

Imre Bárány Alfréd Rényi Institute of Mathematics

External Links

Wikipedia of Anatoly Vershik Personal website of Anatoly Vershik

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