Anatoly Vershik | Academic Influence

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Anatoly Vershik

Mathematics

#695

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#1276

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Probability Theory

#55

World Rank

#77

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Measure Theory

#728

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#981

Historical Rank

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Mathematics

Why Is Anatoly Vershik Influential?

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According to Wikipedia, Anatoly Moiseevich Vershik is a Soviet and Russian mathematician. He is most famous for his joint work with Sergei V. Kerov on representations of infinite symmetric groups and applications to the longest increasing subsequences.

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Anatoly Vershik's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Random Walks on Discrete Groups: Boundary and Entropy (1983) (612)
A new approach to representation theory of symmetric groups (1996) (374)
Asymptotic theory of characters of the symmetric group (1981) (300)
Statistical mechanics of combinatorial partitions, and their limit shapes (1996) (299)
Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group (1985) (172)
Harmonic analysis on the infinite symmetric group (2003) (151)
REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS (1975) (143)
REPRESENTATIONS OF THE GROUP SL(2, R), WHERE R IS A RING OF FUNCTIONS (1973) (125)
Dynamic theory of growth in groups: Entropy, boundaries, examples (2000) (124)
Harmonic analysis on the infinite symmetric group. A deformation of the regular representation (1993) (118)
Adic models of ergodic transformations, spectral theory, substitutions, and related topics (1992) (106)
Kantorovich Metric: Initial History and Little-Known Applications (2005) (101)
An Infinite-Dimensional Analogue of the Lebesgue Measure and Distinguished Properties of the Gamma Process (2001) (99)
Ergodic properties of the Erdös measure, the entropy of the goldenshift, and related problems (1998) (99)
Limit Measures Arising in the Asympyotic Theory of Symmetric Groups. I. (1977) (98)
A New Approach to the Representation Theory of the Symmetric Groups. II (2005) (94)
${{C}^{*}}$ -Algebras of Irreversible Dynamical Systems (2002) (85)
Random Metric Spaces and Universality (2004) (84)
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms (1998) (83)
Long History of the Monge-Kantorovich Transportation Problem (2013) (83)
Locally semisimple algebras. Combinatorial theory and the K0-functor (1987) (83)
The characters of the infinite symmetric group and probability properties of the Robinson-Schensted-Knuth algorithm (1986) (83)
Some Characteristic Properties of Gaussian Stochastic Processes (1964) (83)
Totally nonfree actions and infinite symmetric group (2011) (83)
A theorem on the Markov periodic approximation in ergodic theory (1985) (82)
Nonholonomic manifolds and nilpotent analysis (1988) (74)
Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems) (1989) (72)
Nonfree actions of countable groups and their characters (2010) (68)
Nonholonomic problems and the theory of distributions (1988) (66)
COHOMOLOGY OF GROUPS IN UNITARY REPRESENTATIONS, THE NEIGHBORHOOD OF THE IDENTITY, AND CONDITIONALLY POSITIVE DEFINITE FUNCTIONS (1984) (58)
Statistical Properties of Locally Free Groups¶with Applications to Braid Groups¶and Growth of Random Heaps (2000) (58)
Asymptotic combinatorics with application to mathematical physics (2002) (58)
Does there exist a lebesgue measure in the infinite-dimensional space? (2007) (57)
Lagrangian Mechanics in Invariant Form (1995) (57)
Topics in Statistical and Theoretical Physics (1996) (53)
Asymptotic Combinatorics and Algebraic Analysis (1995) (53)
Irreducible representations of the group GX and cohomologifs (1974) (52)
Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers (1997) (52)
The Limit Shape and Fluctuations of Random Partitions of Naturals with Fixed Number of Summands (2001) (50)
New examples of continuum graded Lie algebras (1990) (50)
Examples of Nonlinear Continuous Tensor Products of Measure Spaces and Non-Fock Factorizations (1998) (50)
Large deviations for integer partitions (1998) (49)
The problem of describing central measures on the path spaces of graded graphs (2014) (48)
Factorial Representations of Path Groups (1983) (47)
Some isometry groups of the Urysohn space (2004) (46)
Frobenius-Schur Functions (2001) (45)
Random walks on braid groups: Brownian bridges, complexity and statistics (1996) (44)
Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of the Urysohn space (2008) (44)
Classical and non-classical dynamics with constraints (1984) (43)
Some remarks on the infinite-dimensional problems of linear programming (1970) (42)
Bijective Arithmetic Codings of Hyperbolic Automorphisms of the 2-Torus, and Binary Quadratic Forms (1998) (41)
Twisted Burnside theorem for type II_1 groups: an example (2006) (41)
Classification of Measurable Functions of Several Variables and Invariantly Distributed Random Matrices (2002) (41)
Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures (1999) (39)
Equipped Graded Graphs, Projective Limits of Simplices, and Their Boundaries (2015) (38)
Fock factorizations, and decompositions of the L2 spaces over general Lévy processes (2003) (38)
On a infinite-dimensional group over a finite field (1998) (37)
The limit shape of convex lattice polygons and related topics (1994) (35)
C*-Algebras Associated with Endomorphisms and Polymorphisms of Compact Abelian Groups (2012) (34)
Linearly rigid metric spaces and the embedding problem (2006) (34)
Intrinsic Metric on Graded Graphs, Standardness, and Invariant Measures (2013) (34)
On the number of convex lattice polytopes (1992) (33)
A commutative model of representation of the group of flows SL(2, R)X that is connected with a unipotent subgroup (1983) (33)
On the Markov–Krein Identity and Quasi-Invariance of the Gamma Process (2004) (33)
A Local Limit Theorem for Random Strict Partitions (2000) (33)
Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin’s Memorial (2001) (32)
The pascal automorphism has a continuous spectrum (2011) (31)
Four drafts on the representation theory of the group of infinite matrices over a finite field (2007) (31)
Random and Universal Metric Spaces (2002) (31)
Polymorphisms, Markov processes, quasi-similarity (2005) (30)
Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts (1992) (29)
Many-valued measure-preserving mappings (polymorphisms) and Markovian operators (1983) (29)
Finite traces and representations of the group of infinite matrices over a finite field (2012) (28)
The theory of filtrations of subalgebras, standardness, and independence (2017) (27)
Laplace operators on the cone of Radon measures (2015) (27)
Virtual continuity of measurable functions and its applications (2014) (26)
Polymorphisms, Markov Processes, and Quasi-similarity (2005) (26)
Polymorphisms, Markov Processes, and Quasi-similarity (2005) (26)
The basic representation of the current group O(n,1)X in the L2 space over the generalized Lebesgue measure (2005) (26)
Ergodic properties of Erd\"os measure, the entropy of the goldenshift, and related problems (1996) (26)
Four definitions of the scale of an automorphism (1973) (25)
Theorem on lacunary isomorphisms of monotonic sequences of partitions (1968) (24)
Representation of Lie groups and related topics (1990) (23)
Local algebras and a new version of Young's orthogonal form (1990) (23)
Asymptotic combinatorics with applications to mathematical physics : a European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 (2003) (23)
Fluctuations of the Maximal Particle Energy of the Quantum Ideal Gas and Random Partitions (2006) (22)
Combinatorial algebras and multivalued involutive groups (1996) (22)
Distinguished properties of the gamma process, and related topics (2000) (22)
ON NONLINEAR EQUATIONS ASSOCIATED WITH LIE ALGEBRAS OF DIFFEOMORPHISM GROUPS OF TWO-DIMENSIONAL MANIFOLDS (1989) (22)
Uncountable graphs and invariant measures on the set of universal countable graphs (2008) (22)
Product of commuting spectral measures need not be countably additive (1979) (22)
Geometry and dynamics of admissible metrics in measure spaces (2012) (21)
The K -functor (Grothendieck group) of the infinite symmetric group (1985) (21)
Probability Measures in Infinite-Dimensional Spaces (1971) (20)
Asymptotics of Young Diagrams and Hook Numbers (1997) (20)
Hook formula and related identities (1992) (20)
Markov Measures on Young Tableaux and Induced Representations of the Infinite Symmetric Group (2005) (19)
Manifolds with intrinsic metric, and nonholonomic spaces (1992) (19)
An asymptotic estimate of the average number of steps of the parametric simplex method (1987) (19)
Large deviations in the geometry of convex lattice polygons (1999) (19)
Two lectures on the asymptotic representation theory and statistics of Young diagrams (2003) (19)
SCIENTIFIC PAPERS IN HONOUR OF R.L. DOBRUSHIN: Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers (1997) (19)
Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles (1991) (19)
A Commutative Model of a Representation of the Group O(n, 1)X and a Generalized Lebesgue Measure in the Space of Distributions (2005) (17)
On classification of measurable functions of several variables (2013) (17)
Dynamics of metrics in measure spaces and their asymptotic invariants (2009) (17)
Continuum of pairwise nonisomorphic diadic sequences (1971) (17)
On different models of representations of the infinite symmetric group (2006) (17)
Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator (2012) (16)
Invariant measures for the continual Cartan subgroup (2008) (16)
Classification of Finite Metric Spaces and Combinatorics of Convex Polytopes (2015) (16)
Topology of the convex polytopes’ manifolds, the manifold of the projective configurations of a given combinatorial type and representations of lattices (1988) (16)
Statistical properties of braid groups in locally free approximation (1999) (15)
Representation theory and dynamical systems (1992) (15)
The behavior of the Laplace transform of the invariant measure on the hypersphere of high dimension (2008) (15)
Bundle of nilpotent Lie algebras over a nonholonomic manifold (nilpotentization) (1992) (15)
Algebras in plancherel duality and algebraic combinatorics (1997) (14)
Convex hulls of orbits of representations of finite groups and combinatorial optimization (1988) (13)
Scaling entropy and automorphisms with purely point spectrum (2010) (13)
Scaled entropy of filtrations of $\sigma$-fields (2007) (13)
Integral models of representations of current groups (2008) (13)
Phase transition in the exit boundary problem for random walks on groups (2015) (12)
Canonical Semigroups of States and Cocycles for the Group of Automorphisms of a Homogeneous Tree (2003) (12)
Description of the characters and factor representations of the infinite symmetric inverse semigroup (2011) (12)
Asymptotics of the Uniform Measures on Simplices and Random Compositions and Partitions (2003) (12)
Traces on infinite-dimensional brauer algebras (2006) (12)
A new approach to the representation theory of the symmetric groups, III: Induced representations and the Frobenius--Young correspondence (2006) (12)
Uniform approximations by bianalytic functions on arbitrary compact subsets of (2016) (11)
A New Approach to the Representation Theory of the Symmetric Groups, IV. Z2-graded groups and algebras; projective representations of the group Sn (2008) (11)
Randomization of Algebra and Algebraization of Probability (2001) (11)
The absolute of finitely generated groups: I. Commutative (semi)groups (2018) (11)
Several remarks on Pascal automorphism and infinite ergodic theory (2015) (10)
Equivalence of the Brownian and Energy Representations (2015) (10)
What does a generic Markov operator look like (2005) (10)
The local stationary presentation of the alternating groups and the normal form (2007) (10)
Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis (2006) (10)
Krein duality, positive 2-algebras, and dilation of comultiplications (2007) (10)
On the Fourier transform on the infinite symmetric group (2006) (10)
Some questions concerning the approximation of the optimal value of infinite-dimensional problems in linear programming (1968) (9)
Algebraic polymorphisms (2007) (9)
Best piecewise polynomial approximation (1975) (9)
Virtual continuity of measurable functions of several variables and embedding theorems (2013) (9)
Orbit theory, locally finite permutations and morse arithmetic (2010) (9)
Limit Shapes of Typical Geometric Configurations and Their Applications (2004) (9)
Approximation for actions of amenable groups and transversal automorphisms (1985) (9)
Contemporary Mathematical Physics (1996) (9)
Compactness of the congruence group of measurable functions in several variables (2007) (9)
Numerical Characteristics of Groups and Corresponding Relations (2001) (8)
Random metric space is the universal Urysohn spaces (2002) (8)
The geometry of the nonholonomic sphere for three-dimensional lie group (1988) (8)
Universal adic approximation, invariant measures and scaled entropy (2017) (8)
Special representations of the groups U(∞, 1) and O(∞, 1) and the associated representations of the current groups U(∞, 1)X and O(∞, 1)X in quasi-poisson spaces (2012) (8)
Random metric spaces and the universal Urysohn space.2 (2002) (8)
Formulation of Bell type problems and “noncommutative” convex geometry (1992) (7)
Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2)) (2014) (7)
Geometrical Approach to the Free Solvable Groups (2004) (7)
Boundaries of braid groups and the Markov-Ivanovsky normal form (2008) (7)
Distance matrices, random metrics and Urysohn space (2002) (7)
Infinite Geodesics in the Discrete Heisenberg Group (2018) (7)
A new model of the ergodic transformations (1989) (7)
Quadratic forms positive on a cone and quadratic duality (1987) (7)
Kolmogorov's Example (A Survey of Actions of Infinite-Dimensional Groups with an Invariant Probability Measure) (2004) (7)
A statistical sum associated with Young diagrams (1989) (7)
INVARIANT MEASURES : NEW ASPECTS OF DYNAMICS, COMBINATORICS AND REPRESENTATION THEORY (2015) (7)
C-algebras and algebras in plancherel duality (1999) (7)
Random walks on multiconnected manifolds and conformal field theory (1994) (7)
Standardness as an invariant formulation of independence (2015) (6)
Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable (2000) (6)
Phase transition in the exit boundary problem for random walks on groups (2015) (6)
Laplace operators in gamma analysis (2014) (6)
Methods of representations theory in combinatorial optimization problems (1989) (6)
Smooth and non-smooth $AF$-algebras and problem on invariant measures (2013) (6)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: An inductive method of expounding the representation theory of symmetric groups (1996) (6)
Adic realizations of ergodic actions by homeomorphisms of Markov compacta and ordered Bratteli diagrams (1997) (6)
Geometry and dynamics on the free solvable groups (2000) (6)
Strange factor representations of type II_1 and pairs of dual dynamical systems (2003) (6)
Geometrical state theory, the von neumann boundary, and duality of thec-algebras (1975) (5)
Classification of the measurable functions of several arguments and invariant measures on the space of matrices and tensors , 1 . Classificaton . 1 (2001) (5)
Three Theorems on the Uniqueness of the Plancherel Measure from Different Viewpoints (2018) (5)
Induced representations of the infinite symmetric group and their spectral theory (2007) (5)
A Few Snapshots from the Work of Mikhail Gromov (2014) (5)
Rational approximation of maximal commutative subgroups of $${GL(n,\mathbb{R})}$$ (2010) (5)
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups (2012) (5)
Trajectory theory (1987) (4)
Between "very large" and "infinite" : The asymptotic representation theory (2013) (4)
L.V.Kantorovich and Linear Programming (2007) (4)
Experiments in calculating the dimension of a typical representation of the symmetric group (1985) (4)
On the Classification Problem of Measurable Functions in Several Variables and on Matrix Distributions (2016) (4)
Universality and Randomness for the Graphs and Metric Spaces (2006) (4)
A Generalized Maxwell–Poincaré Lemma and Wishart Measures (2022) (4)
Dynamical Systems with Invariant Measure (1970) (4)
Science and Totalitarianism (2005) (4)
The Absolute of Finitely Generated Groups: II. The Laplacian and Degenerate Parts (2018) (4)
The absolute of finitely generated groups : I . (2018) (4)
Asymptotics of the Partition of the Cube into Weyl Simplices and an Encoding of a Bernoulli Scheme (2019) (4)
SMOOTHNESS AND STANDARDNESS IN THE THEORY OF AF -ALGEBRAS AND IN THE PROBLEM ON INVARIANT MEASURES (2015) (4)
Frobenius-Schur functions: summary of results (2000) (4)
Special Representations of the Iwasawa Subgroups of Simple Lie Groups (2017) (3)
representation of the infinite symmetric group (2014) (3)
Canonical States on the Group of Automorphisms of a Homogeneous Tree (1996) (3)
Groups Generated by Involutions of Diamond-Shaped Graphs, and Deformations of Young’s Orthogonal Form (2019) (3)
On classification of ℤ-graded Lie algebras of constant growth which have algebra ℂ[h] as Cartan subalgebra (1992) (3)
Towards the definition of metric hyperbolicity (2005) (3)
A new class of infinite-dimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems (1991) (3)
A bijective proof of the Jacobi identity and reconstruction of Young diagrams (1988) (3)
Integration of virtually continuous functions over bistochastic measures and the trace formula for nuclear operators (2016) (3)
Stable representations of the infinite symmetric group (2015) (3)
Communications of the Moscow Mathematical Society: the Action of PSL(2,Z) in R1 is Approximable (1978) (3)
Virtual continuity of measurable functions of several variables and embedding theorems (2013) (3)
Combinatorial Encoding of Bernoulli Schemes and the Asymptotic Behavior of Young Tableaux (2020) (3)
Stable states and representations of the infinite symmetric group (2012) (3)
Graded Lie Algebras and Dynamical Systems (2002) (3)
Geodesic flows on SL(2, ℝ) with nonholonomic restrictions (1988) (2)
On topological questions of real complexity theory and combinatorial optimization (1990) (2)
On F. A. Berezin and his work on representations of current groups (2007) (2)
Central measures of continuous graded graphs: the case of distinct frequencies (2022) (2)
Nonsingular Transformations of Symmetric Lévy Processes (2014) (2)
Periodic Approximations and Their Applications. Ergodic Theorems, Spectral and Entropy Theory for the General Group Actions (1989) (2)
The Serpentine Representation of the Infinite Symmetric Group and the Basic Representation of the Affine Lie Algebra $${\widehat{\mathfrak{sl}_2}}$$sl2^ (2014) (2)
Asymptotic theory of path spaces of graded graphs and its applications (2016) (2)
Numerical Invariants of Exponential Groups and Locally Free Approximation of the Braid Group (2003) (2)
Equipped Graded Graphs, Projective Limits of Simplices, and Their Boundaries (2015) (2)
Rational approximation of the maximal commutative subgroups of GL(n,R) (2009) (2)
Ju n 20 02 Random metric spaces and the universal Urysohn space (2)
The Life and Fate of Functional Analysis in the Twentieth Century (2006) (2)
Vladimir Abramovich Rokhlin—A biographical tribute (23.8.1919–3.12.1984) (1989) (2)
The Problem of Combinatorial Encoding of a Continuous Dynamics and the Notion of Transfer of Paths in Graphs (2019) (2)
On the relation of some combinatorial functions to representation theory (2016) (2)
Linearly rigid metric spaces and Kantorovich type norms. (2006) (2)
Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph (2018) (2)
Kantorovich and linear programming (2007) (2)
1.4. Is the uniform algebraic approximation of the multiplication and convolution operators possible? (1984) (2)
Some numerical and algorithmical probelms in the asymptotic representation theory (2010) (1)
The Schur–Weyl Graph and Thoma’s Theorem (2021) (1)
Boundedness of the scaling sequences of the automorphisms with discrete spectrum (2010) (1)
Infinite-dimensional metagonal and metaplectic groups. I. General concepts and metagonal groups (1985) (1)
The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group (2019) (1)
Meetings of the St. Petersburg Mathematical Society (2002) (1)
A nonholonomic Laplace operator (1993) (1)
The problem of describing central measures on path space of graded graphs (2014) (1)
Sergei Vasil'evich Kerov (12.6.1946–28.7.2000) (2004) (1)
On the classification problem of matrix distributions of measurable functions in several variables (2015) (1)
Asymptotics of the Number of Geodesics in the Discrete Heisenberg Group (2019) (1)
The Absolute of finitely generated groups: I. Commutative groups (2018) (1)
Algebraic Polymorphisms– ERRATUM (2009) (1)
Invariant measures on the set of graphs and homogeneous uncountable universal graphs (2008) (1)
On a relation between the basic representation of the affine Lie algebra $\widehat\sl$ and a Schur--Weyl representation of the infinite symmetric group (2014) (1)
The Serpentine Representation of the Infinite Symmetric Group and the Basic Representation of the Affine Lie Algebra sl2^\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \ (2014) (1)
Numerical characteristics of groups and their interrelations (1999) (1)
Two Ways to Define Compatible Metrics on the Simplex of Measures (2014) (1)
Groups Generated by Involutions of Diamond-Shaped Graphs, and Deformations of Young’s Orthogonal Form (2020) (1)
On the relationship between combinatorial functions and representation theory (2017) (1)
On the Decomposition of Tensor Representations of Symmetric Groups (2017) (1)
Polymorphisms, Markov processes, random perturbations of K-automorphisms (2004) (1)
A new approach to the representation theory of the symmetric groups. IV. $ \Bbb Z_{2}$-graded groups and algebras (2008) (1)
A Method of Defining Central and Gibbs Measures and the Ergodic Method (2021) (0)
Corrigendum to the paper ``A New Approach to the Representation Theory of the Symmetric Groups. IV. ℤ2-Graded Groups and Algebras'' (2018) (0)
Sergei Mikhailovich Lozinskii (obituary) (1986) (0)
Brownian bridge asymptotics for random mappings Independent process approximations for random combinatorial structures Refined approximations for the Ewens sampling formula The height of a random partial order : concentration of measure Comparison techniques for card shuffling (0)
A-1090 Wien , Austria PF – Boundary of Braid Groups and Markov – Ivanovsky Normal (2010) (0)
Equivalence of the Brownian and Energy Representations (2016) (0)
Special Representations of the Iwasawa Subgroups of Simple Lie Groups (2017) (0)
Infinite Geodesics in the Discrete Heisenberg Group (2018) (0)
On the relationship between combinatorial functions and representation theory (2017) (0)
Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2)) (2014) (0)
Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph (2018) (0)
Duality and Free Measures in Vector Spaces, the Spectral Theory of Actions of Non-Locally Compact Groups (2017) (0)
C*-Algebras Associated with Endomorphisms and Polymorphisms of Compact Abelian Groups (2012) (0)
G T ] 1 M ar 2 00 2 Distance matrices , random metrics and Urysohn space (0)
Invariant Measures for the Continual Cartan Subgroup to Professor Malliavin with Deep Respect (2008) (0)
Anatoly Vershik Interview March 15, 1990 (1990) (0)
Intrinsic Metric on Graded Graphs, Standardness, and Invariant Measures (2014) (0)
Ergodicity and Totality of Partitions Associated with the RSK Correspondence (2021) (0)
Nonsingular Transformations of Symmetric Lévy Processes (2014) (0)
Infinite Dimensional Analysis and Representation Theory 10 – 14 December 2012 (2012) (0)
Cohomology of the Iwasawa Subgroup of the Group U(p,p) in Nonunitary Representations (2016) (0)
MY RECOLLECTIONS ON BEREZIN (2007) (0)
On the Decomposition of Tensor Representations of Symmetric Groups (2018) (0)
Preface (2006) (0)
Anatoly Vershik Interview June 4, 1993 (1993) (0)
The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group (2020) (0)
Topology, Geometry, and Dynamics (2021) (0)
Invariant measures and homogeneous uncountable universal graphs (0)
PR ] 2 2 N ov 2 01 5 Standardness as an invariant formulation of independence (2018) (0)
The Wulff construction in statistical mechanics and combinatorics (2016) (0)
Boundary of the braid groups and Markov--Ivanovsky normal form (2007) (0)
Classification of Finite Metric Spaces and Combinatorics of Convex Polytopes (2015) (0)
ABOUT ALIK BEREZIN AND SOME OF HIS WORKS: TEN YEARS LATER (2007) (0)
About Grisha Mints (2017) (0)
On classification of measurable functions of several variables (2013) (0)
The Pascal automorphism has a purely continuous spectrum (2011) (0)
Ergodicity and Totality of Partitions Associated with the RSK Correspondence (2021) (0)
Special representations of the groups U(∞, 1) and O(∞, 1) and the associated representations of the current groups U(∞, 1)X and O(∞, 1)X in quasi-poisson spaces (2012) (0)
Random permutations, limit shapes and asymptotic problems of partition theory (1992) (0)
Communications in Mathematical Physics C *-Algebras Associated with Endomorphisms and Polymorphisms of Compact Abelian Groups (2013) (0)
Preface of the Editor (2005) (0)
One-Dimensional Central Measures on Numberings of Ordered Sets (2022) (0)
Standardness as an invariant formulation of independence (2015) (0)
On a Universal Borel Adic Space (2019) (0)
Several thoughts about Arnold (2014) (0)
And Pairs of Dual Dynamical Systems (2003) (0)
Convolution of multifractals and the local magnetization in a random-field Ising chain (2017) (0)
Virtual continuity of the measurable functions of several variables, and Sobolev embedding theorems (2013) (0)
The problem of describing central measures on the path spaces of graded graphs (2014) (0)
R T ] 6 M ay 2 00 6 Induced representations of the infinite symmetric group (2008) (0)
PR ] 2 3 N ov 2 01 5 EQUIVALENCE OF THE BROWNIAN AND ENERGY REPRESENTATIONS (2021) (0)
M ar 2 00 2 C *-Algebras of Irreversible Dynamical Systems (0)
The absolute of finitely generated groups: I. Commutative (semi)groups (2018) (0)
Stable states and representations of the infinite symmetric group (2012) (0)
Duality and Free Measures in Vector Spaces, the Spectral Theory of Actions of Non-Locally Compact Groups (2019) (0)
Sergei Duzhin (June 17, 1956–February 1, 2015) (2015) (0)
On the Classification Problem of Measurable Functions in Several Variables and on Matrix Distributions (2016) (0)
The Basi Representation of the Current GroupO ( n , 1 ) X in the L 2 Spa eover the Generalized Lebesgue MeasureM (2010) (0)
Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator (2014) (0)
Asymptotic theory of path spaces of graded graphs and its applications (2016) (0)
Nonunitary Representations of the Groups of U(p, q)-currents for q ≥ p > 1 (2018) (0)
Two Ways to Define Compatible Metrics on the Simplex of Measures (2014) (0)
The Ties That Bind: Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg (2020) (0)
Editor's Preface (2006) (0)
The Absolute of Finitely Generated Groups: II. The Laplacian and Degenerate Parts (2018) (0)

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What Schools Are Affiliated With Anatoly Vershik?

Anatoly Vershik is affiliated with the following schools:

Saint Petersburg State University

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