- Home
- Best Scientists - Mathematics
- Anatoly Vershik

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
6,611
230
World Ranking
1296
National Ranking
15

2015 - Member of Academia Europaea

2013 - Fellow of the American Mathematical Society

- Algebra
- Mathematical analysis
- Combinatorics

His main research concerns Combinatorics, Discrete mathematics, Pure mathematics, Algebra and Symmetric group. His biological study spans a wide range of topics, including Free group, Entropy and Computational complexity theory. The various areas that Anatoly Vershik examines in his Discrete mathematics study include Iterated function, Random walk, Compact space and Metric.

Mathematical physics is closely connected to Mathematical analysis in his research, which is encompassed under the umbrella topic of Pure mathematics. Anatoly Vershik combines subjects such as Trivial representation and Real form with his study of Algebra. His Symmetric group study combines topics from a wide range of disciplines, such as Irreducible representation, Asymptotic analysis, Regular representation and Unitary representation.

- Random Walks on Discrete Groups: Boundary and Entropy (550 citations)
- A new approach to representation theory of symmetric groups (283 citations)
- Asymptotic theory of characters of the symmetric group (220 citations)

Anatoly Vershik mainly focuses on Pure mathematics, Combinatorics, Discrete mathematics, Symmetric group and Algebra. His Pure mathematics research is multidisciplinary, incorporating elements of Measure, Mathematical analysis and Group. His work in Group tackles topics such as Boundary which are related to areas like Random walk.

His research integrates issues of Convex polytope, Convex set and Path space in his study of Combinatorics. His biological study spans a wide range of topics, including Lebesgue measure and Compact space. He usually deals with Symmetric group and limits it to topics linked to Representation theory and Young tableau and Limit.

- Pure mathematics (50.34%)
- Combinatorics (30.82%)
- Discrete mathematics (26.71%)

- Pure mathematics (50.34%)
- Combinatorics (30.82%)
- Path space (7.53%)

His primary areas of investigation include Pure mathematics, Combinatorics, Path space, Ergodic theory and Invariant. He is involved in the study of Pure mathematics that focuses on Symmetric group in particular. Anatoly Vershik combines subjects such as Representation theory, Mathematical proof, Limit and Duality with his study of Combinatorics.

His work carried out in the field of Path space brings together such families of science as Partition and Combinatorial method. Anatoly Vershik has researched Ergodic theory in several fields, including Discrete mathematics, Entropy and Invariant measure. His Invariant research includes elements of Hyperplane, Statement and Automorphism.

- The theory of filtrations of subalgebras, standardness, and independence (8 citations)
- Asymptotics of the Partition of the Cube into Weyl Simplices and an Encoding of a Bernoulli Scheme (6 citations)
- Asymptotics of the Partition of the Cube into Weyl Simplices and an Encoding of a Bernoulli Scheme (6 citations)

- Algebra
- Mathematical analysis
- Vector space

His primary areas of study are Path space, Pure mathematics, Combinatorics, Ergodic theory and Partition. His Path space study integrates concerns from other disciplines, such as Entropy, Invariant measure and Series. His Pure mathematics research incorporates elements of Group, Metric, Measure, Independence and Boundary.

The study incorporates disciplines such as Semigroup, Commutative property, Algebraic geometry, Probability measure and Random walk in addition to Boundary. His work on Automorphism as part of general Combinatorics research is frequently linked to Universal graph, thereby connecting diverse disciplines of science. His Partition research incorporates themes from Stochastic process and Combinatorial method.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Random Walks on Discrete Groups: Boundary and Entropy

V. A. Kaimanovich;A. M. Vershik.

Annals of Probability **(1983)**

858 Citations

Random Walks on Discrete Groups: Boundary and Entropy

V. A. Kaimanovich;A. M. Vershik.

Annals of Probability **(1983)**

858 Citations

A new approach to representation theory of symmetric groups

Andrei Okounkov;Anatoly Vershik.

Selecta Mathematica-new Series **(1996)**

339 Citations

A new approach to representation theory of symmetric groups

Andrei Okounkov;Anatoly Vershik.

Selecta Mathematica-new Series **(1996)**

339 Citations

Asymptotic theory of characters of the symmetric group

A. M. Vershik;S. V. Kerov.

Functional Analysis and Its Applications **(1982)**

336 Citations

Asymptotic theory of characters of the symmetric group

A. M. Vershik;S. V. Kerov.

Functional Analysis and Its Applications **(1982)**

336 Citations

REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS

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

Russian Mathematical Surveys **(1975)**

195 Citations

REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS

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

Russian Mathematical Surveys **(1975)**

195 Citations

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

S. Kerov;G. Olshanski;A. Vershik.

Comptes rendus de l'Académie des sciences. Série 1, Mathématique **(1993)**

161 Citations

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

S. Kerov;G. Olshanski;A. Vershik.

Comptes rendus de l'Académie des sciences. Série 1, Mathématique **(1993)**

161 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Institute for Information Transmission Problems

Sorbonne University

University of Bonn

University of Vienna

Stevens Institute of Technology

Universidade Federal de Santa Catarina

Indiana University

Yale University

Alfréd Rényi Institute of Mathematics

Weizmann Institute of Science

Washington University in St. Louis

University of Southern California

Michigan State University

Saarland University

University of Lausanne

University of Queensland

University of Edinburgh

James Hutton Institute

University of Melbourne

Arizona State University

Wake Forest University

Université Paris Cité

Wilfrid Laurier University

California Institute of Technology

National Institute for Astrophysics

Something went wrong. Please try again later.