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Vershik, Anatoliĭ Moiseevich (b. 1933 d. 2024)

Author ID: vershik.anatoli-m Recent zbMATH articles by "Vershik, Anatoliĭ Moiseevich"
Published as: Vershik, A. M.; Vershik, A.; Vershik, Anatoly; Vershik, Anatoly M.; Vershik, Anatolii M.; Vershik, Anatoli M.; Vershik, Anatol M.; Vershik, Anatolii; Vershik, Anatolij; Vershik, Anatoli; Vershik, A. M
Further Spellings: Вершик Анатолий Моисеевич
Homepage: http://www.pdmi.ras.ru/~avershik/
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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Co-Authors

173 single-authored
27 Tsilevich, Natalia V.
26 Graev, Mark Iosifovich
19 Kerov, Sergei V.
14 Gel’fand, Israil’ Moiseevich
12 Gershkovich, V. Ya.
10 Petrov, Fedor Vladimirovich
9 Ladyzhenskaya, Ol’ga Aleksandrovna
9 Sinaĭ, Yakov Grigor’evich
8 Novikov, Sergeĭ Petrovich
8 Zatitskii, Pavel B.
7 Faddeev, Lyudvig Dmitrievich
7 Ol’shanskiĭ, Grigoriĭ Iosifovich
6 Okun’kov, Andreĭ Yur’evich
5 Arnol’d, Vladimir Igorevich
5 Vasil’ev, N. N.
5 Viro, Oleg Ya.
5 Yakubovich, Yuri V.
4 Barvinok, Alexander I.
4 Birman, Mikhail Shlëmovich
4 Bukhshtaber, Viktor Matveevich
4 Gindikin, Simon Grigorevich
4 Ibragimov, Il’dar Abdullovich
4 Lando, Sergei K.
4 Mnëv, Nikolai Evgen’evich
4 Nechaev, Sergeĭ Konstantinovich
4 Nessonov, Nikolai I.
4 Saveliev, Mikhail V.
4 Shmidt, A. A.
4 Sidorov, Nikita A.
4 Solomyak, Mikhaĭl Zakharovich
4 Sosinskiĭ, Alekseĭ Bronislavovich
3 Anosov, Dmitriĭ Viktorovich
3 Chernyakov, A. G.
3 Dobrushin, Roland L’vovich
3 Evdokimov, Sergeĭ Alekseevich
3 Faddeev, Dmitriĭ Konstantinovich
3 Fuchs, Dmitry Borisovich
3 Haböck, Ulrich
3 Khavin, Viktor Petrovich
3 Kaimanovich, Vadim A.
3 Kirillov, Alexandre Aleksandrovich
3 Kornfel’d, I. P.
3 Leonov, Gennadiĭ Alekseevich
3 Lodkin, A. A.
3 Maslov, Viktor Pavlovich
3 Minlos, Robert Adol’fovich
3 Molchanov, Vladimir Fedorovich
3 Neretin, Yuriĭ Aleksandrovich
3 Nikitin, Pavel P.
3 Nikol’skiĭ, Nikolaĭ Kapitonovich
3 Panina, Gaiane Yu.
3 Pliss, Viktor Aleksandrovich
3 Ponomarenko, Ilya Nikolaevich
3 Regev, Amitai
3 Shubin, Mikhail Aleksandrovich
3 Sporyshev, P. V.
3 Ural’tseva, Nina Nikolaevna
3 Vasil’ev, Viktor Anatol’evich
3 Yafaev, Dimitri R.
3 Yor, Marc
2 Albeverio, Sergio A.
2 Arzumanyan, Victor Abramovich
2 Babich, Vasiliĭ Mikhaĭlovich
2 Bikbov, R. R.
2 Bokut, Leonid A.
2 Burago, Dmitri
2 Burago, Yuriĭ Dmitrievich
2 Buslaev, Vladimir Savel’evich
2 Chmutov, Sergei V.
2 Clark, Douglas Napier
2 Davydov, Yu. A.
2 Douglas, Ronald George
2 Eliashberg, Yakov Matveevich
2 Ermakov, Sergeĭ Mikhaĭlovich
2 Fëdorov, A. L.
2 Fomin, Vladimir Nikolaevich
2 Gribov, A. B.
2 Gromov, Mikhael Leonidovich
2 Helson, Henry
2 Ismagilov, Rais Sal’manovich
2 Karev, Maksim V.
2 Karpushev, S. I.
2 Khovanskiĭ, Askold Georgievich
2 Kislyakov, Sergeĭ Vital’evich
2 Kolmogorov, Andreĭ Nikolaevich
2 Kondrat’yev, Yuriĭ Grygorovych
2 Krasil’shchik, Joseph
2 Krichever, Igor’ Moiseevich
2 Kuhn, Maria Gabriella
2 Kutateladze, Semën Samsonovich
2 Laptev, Ari
2 Leiterer, Jürgen
2 Lifshits, Mikhail A.
2 Lytvynov, Eugene W.
2 Makarov, Boris Mikhaĭlovich
2 Malozemov, Vasily Nikolaevich
2 Malyshev, Vadim Aleksandrovich
2 Marchenko, Vladimir Aleksandrovich
2 Matiyasevich, Yuriĭ Vladimirovich
2 McKean, Henry P. jun.
...and 246 more Co-Authors
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Serials

51 Journal of Mathematical Sciences (New York)
43 Russian Mathematical Surveys
38 Functional Analysis and its Applications
20 Soviet Mathematics. Doklady
17 Zapiski Nauchnykh Seminarov POMI
16 Journal of Soviet Mathematics
9 Theory of Probability and its Applications
9 St. Petersburg Mathematical Journal
9 Moscow Mathematical Journal
9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
7 Uspekhi Matematicheskikh Nauk [N. S.]
5 Communications in Mathematical Physics
5 Selecta Mathematica Sovietica
4 Journal of Functional Analysis
4 Ergodic Theory and Dynamical Systems
4 Notices of the American Mathematical Society
4 Doklady Mathematics
4 Translations. Series 2. American Mathematical Society
4 Translations. Series 2. American Mathematical Society
3 The Mathematical Intelligencer
3 Siberian Mathematical Journal
3 Algebra i Analiz
3 Leningrad Mathematical Journal
3 Izvestiya: Mathematics
3 Arnold Mathematical Journal
2 Mathematical Notes
2 Compositio Mathematica
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Sibirskiĭ Matematicheskiĭ Zhurnal
2 Acta Applicandae Mathematicae
2 Annals of Pure and Applied Logic
2 Journal of Physics A: Mathematical and General
2 Vestnik Leningrad University. Mathematics
2 Optimizatsiya
2 Markov Processes and Related Fields
2 Algebras and Representation Theory
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Fixed Point Theory and Applications
2 European Journal of Mathematics
1 Israel Journal of Mathematics
1 Letters in Mathematical Physics
1 Matematicheskie Zametki
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 Theoretical and Mathematical Physics
1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 The Annals of Probability
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Canadian Journal of Mathematics
1 Fundamenta Mathematicae
1 Gazette des Mathématiciens
1 Inventiones Mathematicae
1 Journal of Algebra
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Monatshefte für Mathematik
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Advances in Applied Mathematics
1 SIAM Journal on Algebraic and Discrete Methods
1 Probability and Mathematical Statistics
1 Soviet Journal of Computer and Systems Sciences
1 Random Structures & Algorithms
1 International Journal of Algebra and Computation
1 Geometric and Functional Analysis. GAFA
1 Mathematics of the USSR, Sbornik
1 Pokroky Matematiky, Fyziky & Astronomie
1 Soviet Physics. Doklady
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Mathematical Research Letters
1 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva
1 Discrete and Continuous Dynamical Systems
1 Problemy Matematicheskogo Analiza
1 Transformation Groups
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Dynamical and Control Systems
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Pure and Applied Mathematics Quarterly
1 Advances in Soviet Mathematics
1 Advanced Studies in Contemporary Mathematics (New York)
1 Contemporary Mathematics
1 Encyclopaedia of Mathematical Sciences
1 Lecture Notes in Mathematics
1 Novoe v Global’nom Analize
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Japanese Journal of Mathematics. 3rd Series
1 Armenian Journal of Mathematics
1 Optimal’noe Planirovanie
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Fields

108 Group theory and generalizations (20-XX)
83 Combinatorics (05-XX)
82 Measure and integration (28-XX)
81 Dynamical systems and ergodic theory (37-XX)
68 History and biography (01-XX)
68 Probability theory and stochastic processes (60-XX)
59 Topological groups, Lie groups (22-XX)
50 General and overarching topics; collections (00-XX)
47 Functional analysis (46-XX)
29 Number theory (11-XX)
26 Operator theory (47-XX)
26 Global analysis, analysis on manifolds (58-XX)
26 Operations research, mathematical programming (90-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
21 Computer science (68-XX)
21 Quantum theory (81-XX)
20 Numerical analysis (65-XX)
19 Nonassociative rings and algebras (17-XX)
19 Differential geometry (53-XX)
18 General topology (54-XX)
15 Associative rings and algebras (16-XX)
15 Abstract harmonic analysis (43-XX)
14 Convex and discrete geometry (52-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Algebraic geometry (14-XX)
9 Manifolds and cell complexes (57-XX)
7 Partial differential equations (35-XX)
7 Mechanics of particles and systems (70-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 \(K\)-theory (19-XX)
4 Geometry (51-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

Citations contained in zbMATH Open

308 Publications have been cited 3,652 times in 2,283 Documents Cited by Year
Random walks on discrete groups: Boundary and entropy. Zbl 0641.60009
Kaimanovich, V. A.; Vershik, A. M.
239
1983
Asymptotics of the Plancherel measure of the symmetric group and the limiting form of Young tableaux. Zbl 0406.05008
Vershik, A. M.; Kerov, S. V.
157
1977
Statistical mechanics of combinatorial partitions, and their limit shapes. Zbl 0868.05004
Vershik, A. M.
130
1996
Nonholonomic dynamical systems, geometry of distributions and variational problems. Zbl 0797.58007
Vershik, A. M.; Gershkovich, V. Ya.
108
1987
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
101
1996
Asymptotic theory of characters of the symmetric group. Zbl 0507.20006
Vershik, A. M.; Kerov, S. V.
88
1982
Characters and factor representations of the infinite symmetric group. Zbl 0534.20008
Vershik, A. M.; Kerov, S. V.
81
1981
Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group. Zbl 0592.20015
Vershik, A. M.; Kerov, S. V.
69
1985
Characters and factor representations of the infinite unitary group. Zbl 0524.22017
Vershik, A. M.; Kerov, S. V.
59
1982
Harmonic analysis on the infinite symmetric group. Zbl 1057.43005
Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly
52
2004
Dynamic theory of growth in groups: Entropy, boundaries, examples. Zbl 0991.37005
Vershik, A. M.
49
2000
Representations of the group of diffeomorphisms. Zbl 0337.58003
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
46
1975
Harmonic analysis on the infinite symmetric group. A deformation of the regular representation. Zbl 0796.43005
Kerov, Serguei; Olshanski, Grigori; Vershik, Anatoli
44
1993
Limit measures arising in the asymptotic theory of symmetric groups. I. Zbl 0375.60007
Vershik, A. M.; Shmidt, A. A.
41
1977
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016
Ol’shanskij, Grigorij; Vershik, Anatolij
41
1996
Large deviations for integer partitions. Zbl 0972.60006
Dembo, A.; Vershik, A.; Zeitouni, O.
38
2000
An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process. Zbl 0990.60053
Tsilevich, Natalia; Vershik, Anatoly; Yor, Marc
38
2001
Totally nonfree actions and the infinite symmetric group. Zbl 1294.37004
Vershik, A. M.
38
2012
Adic models of ergodic transformations, spectral theory, substitutions, and related topics. Zbl 0770.28013
Vershik, A. M.; Livshits, A. N.
37
1992
Decreasing sequences of measurable partitions and their applications. Zbl 0238.28011
Vershik, A. M.
36
1970
\(C^*\)-algebras of irreversible dynamical systems. Zbl 1104.46037
Exel, R.; Vershik, A.
34
2006
The characters of the infinite symmetric group and probability properties of the Robinson-Schensted-Knuth algorithm. Zbl 0584.05004
Kerov, Sergei V.; Vershik, Anatol M.
34
1986
Long history of the Monge-Kantorovich transportation problem. Zbl 1284.01041
Vershik, A. M.
34
2013
Uniform algebraic approximation of shift and multiplication operators. Zbl 0484.47005
Vershik, A. M.
33
1981
Description of invariant measures for the actions of some infinite- dimensional groups. Zbl 0324.28014
Vershik, A. M.
33
1974
\(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
31
1998
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077
Kenyon, Richard; Vershik, Anatoly
29
1998
The theory of decreasing sequences of measurable partitions. Zbl 0853.28009
Vershik, A. M.
29
1994
The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers. Zbl 1005.53036
Vershik, A. M.
28
1998
Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem. Zbl 0791.52011
Vershik, A. M.; Sporyshev, P. V.
28
1992
Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems. Zbl 0916.28012
Sidorov, Nikita; Vershik, Anatoly
27
1998
Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004
Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V.
27
2013
A theorem on the Markov periodic approximation in ergodic theory. Zbl 0559.47006
Vershik, A. M.
26
1985
Does there exist a Lebesgue measure in the infinite-dimensional space? Zbl 1165.28003
Vershik, A. M.
26
2007
The Kantorovich metric: the initial history and little-known applications. Zbl 1090.28009
Vershik, A. M.
25
2006
Differential geometry and Lagrangian mechanics with constraints. Zbl 0243.70014
Vershik, A. M.; Faddeev, L. D.
25
1972
Nonfree actions of countable groups and their characters. Zbl 1279.37004
Vershik, A. M.
25
2011
Some isometry groups of the Urysohn space. Zbl 1108.54027
Cameron, P. J.; Vershik, A. M.
24
2006
Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles. Zbl 0734.49023
Vershik, A. M.; Granichina, O. A.
24
1991
The word and geodesic problems in free solvable groups. Zbl 1207.20026
Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A.
24
2010
On the number of convex lattice polytopes. Zbl 0772.52010
Bárány, I.; Vershik, A. M.
23
1992
Lagrangian mechanics in invariant form. Zbl 0518.58015
Vershik, A. M.; Faddeev, L. D.
22
1975
The limit shape of convex lattice polygons and related topics. Zbl 0848.52004
Vershik, A. M.
22
1994
On an infinite-dimensional group over a finite field. Zbl 1089.22006
Vershik, A. M.; Kerov, S. V.
22
1998
Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0288.22005
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
22
1973
Random metric spaces and universality. Zbl 1065.60005
Vershik, A. M.
22
2003
Factorial representations of path groups. Zbl 0522.22013
Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A.
21
1983
Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor. Zbl 0623.46036
Vershik, A. M.; Kerov, S. V.
21
1987
Nonholonomic problems and the theory of distributions. Zbl 0666.58004
Vershik, A. M.; Gershkovich, V. Ya.
20
1988
The Grothendieck group of infinite symmetric group and symmetric functions (with the elements of the theory of \(K_ 0\)-functor of AF- algebras). Zbl 0723.20005
Vershik, A. M.; Kerov, S. V.
20
1990
Multivalued mappings with invariant measure (polymorphisms) and Markov operators. Zbl 0408.28014
Vershik, A. M.
20
1977
Dynamics of metrics in measure spaces and their asymptotic invariants. Zbl 1203.37020
Vershik, A. M.
20
2010
Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016
Melleray, J.; Petrov, F. V.; Vershik, A. M.
19
2008
Amenability and approximation of infinite groups. Zbl 0533.22007
Vershik, A.
19
1982
Statistical properties of locally free groups with applications to braid groups and growth of random heaps. Zbl 1010.20056
Vershik, A. M.; Nechaev, S.; Bikbov, R.
19
2000
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
19
2005
Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0297.22003
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
18
1973
Equipped graded graphs, projective limits of simplices, and their boundaries. Zbl 1323.05127
Vershik, A. M.
18
2015
Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space. Zbl 1160.54020
Vershik, A. M.
18
2008
The theorem about the periodic Markov approximation in ergodic theory. Zbl 0505.47006
Vershik, A. M.
17
1982
Cohomology of groups in unitary representations, the neighborhood of the identity, and conditionally positive definite functions. Zbl 0528.43005
Vershik, A. M.; Karpushev, S. I.
17
1984
The limit shape and fluctuations of random partitions of naturals with fixed number of summands. Zbl 0996.05006
Vershik, A.; Yakubovich, Yu.
17
2001
Some characteristic properties of Gaussian stochastic processes. Zbl 0141.15203
Vershik, A. M.
17
1965
Representations of the group of smooth mappings of a manifold \(X\) into a compact Lie group. Zbl 0368.53034
Gelfand, I. M.; Graev, M. I.; Vershik, A. M.
16
1977
The problem of describing central measures on the path spaces of graded graphs. Zbl 1370.37005
Vershik, A. M.
16
2014
Finite traces and representations of the group of infinite matrices over a finite field. Zbl 1286.22004
Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly
16
2014
Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems). Zbl 0691.17012
Savel’ev, M. V.; Vershik, A. M.
15
1989
Polymorphisms, Markov processes, and quasi-similarity. Zbl 1115.37002
Vershik, A. M.
15
2005
Theorem on lacunary isomorphisms of monotonic sequences of partitions. Zbl 0186.20203
Vershik, A. M.
15
1968
Intrinsic metric on graded graphs, standardness, and invariant measures. Zbl 1336.28014
Vershik, A. M.
15
2014
Classification of measurable functions of several variables and invariantly distributed random matrices. Zbl 1025.28010
Vershik, A. M.
15
2002
A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup. Zbl 0536.22008
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
14
1983
Quasi-invariance du processus gamma et propriétés multiplicatives des distributions de Poisson-Dirichlet. (Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures.) Zbl 0938.60040
Tsilevich, Natalia; Vershik, Anatoly
14
1999
Asymptotic combinatorics and algebraic analysis. Zbl 0843.05003
Vershik, Anatoly M.
14
1995
Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
14
2006
Nonholonomic manifolds and nilpotent analysis. Zbl 0693.53006
Gershkovich, V.; Vershik, A.
14
1988
Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms. Zbl 0949.37023
Sidorov, N.; Vershik, A.
14
1998
Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. Zbl 1060.46056
Vershik, A. M.; Tsilevich, N. V.
14
2003
Scaling entropy and automorphisms with pure point spectrum. Zbl 1251.37009
Vershik, A. M.
13
2012
A local limit theorem for random strict partitions. Zbl 0969.60034
Vershik, A. M.; Freĭman, G. A.; Yakubovich, Yu. V.
13
1999
Frobenius-Schur functions (with an appendix by Vladimir Ivanov). Zbl 1051.05077
Olshanski, Grigori; Regev, Amitai; Vershik, Anatoly
13
2003
Irreducible representations of the group \(G^X\) and cohomologies. Zbl 0299.22004
Vershik, A. M.; Gel’fand, I. M.; Graev, M. I.
13
1974
Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts. Zbl 0810.58031
Vershik, A. M.
13
1992
The theory of filtrations of subalgebras, standardness, and independence. Zbl 1370.05220
Vershik, A. M.
13
2017
Limit measures arising in the asymptotic theory of symmetric groups. II. Zbl 0423.60009
Vershik, A. M.; Shmidt, A. A.
12
1978
Laplace operators on the cone of Radon measures. Zbl 1327.60105
Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly
12
2015
The Pascal automorphism has a continuous spectrum. Zbl 1271.37007
Vershik, A. M.
12
2011
Structure of the complementary series and special representations of the groups \(O(n,1)\) and \(U(n,1)\). Zbl 1148.22017
Vershik, A. M.; Graev, M. I.
11
2006
Cohomology of groups in unitary representations, neighbourhood of the unit and conditionally positive definite functions. Zbl 0513.43009
Vershik, A. M.; Karpushev, S. I.
11
1982
Groups that are locally embeddable in the class of finite groups. Zbl 0898.20016
Vershik, A. M.; Gordon, E. I.
11
1997
Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers. Zbl 0927.60089
Vershik, A. M.
11
1997
Some remarks on the infinite-dimensional problems of linear programming. Zbl 0224.90041
Vershik, A. M.
11
1970
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
11
2001
Characters and realizations of representations of an infinite-dimensional Hecke algebra, and knot invariants. Zbl 0716.20008
Vershik, A. M.; Kerov, S. V.
11
1989
Representations of the group of functions taking values in a compact Lie group. Zbl 0449.22019
Gelfand, I. M.; Graev, M. I.; Vershik, A. M.
11
1980
Scaled entropy of filtrations of \(\sigma\)-fields. Zbl 1161.28005
Vershik, A. M.; Gorbulsky, A. D.
11
2008
Classification of finite metric spaces and combinatorics of convex polytopes. Zbl 1348.54021
Vershik, A. M.
11
2015
Many-valued measure-preserving mappings (polymorphisms) and Markovian operators. Zbl 0517.28016
Vershik, A. M.
10
1983
Characters, factor representations and K-functor of the infinite symmetric group. Zbl 0545.22001
Kerov, S. V.; Vershik, A. M.
10
1984
Random walks on braid groups: Brownian bridges, complexity and statistics. Zbl 0901.60010
Nechaev, S. K.; Grosberg, A. Yu.; Vershik, A. M.
10
1996
On mm-entropy of a Banach space with Gaussian measure. Zbl 07764857
Vershik, A. M.; Lifshits, M. A.
1
2023
Central measures of continuous graded graphs: the case of distinct frequencies. Zbl 1503.05087
Vershik, Anatoly M.; Petrov, Fedor V.
2
2022
A generalized Maxwell-Poincaré lemma and Wishart measures. Zbl 1490.60017
Vershik, A. M.; Petrov, F. V.
1
2022
One-dimensional central measures on numberings of ordered sets. Zbl 07676192
Vershik, A. M.
1
2022
A method of defining central and Gibbs measures and the ergodic method. Zbl 1496.60004
Vershik, A. M.
2
2021
The Schur-Weyl graph and Thoma’s theorem. Zbl 1483.05201
Vershik, A. M.; Tsilevich, N. V.
1
2021
Groups generated by involutions, numberings of posets, and central measures. Zbl 07505217
Vershik, Anatolii M.
1
2021
Ergodicity and totality of partitions associated with the RSK correspondence. Zbl 1475.05171
Vershik, A. M.; Tsilevich, N. V.
1
2021
Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux. Zbl 1450.05098
Vershik, A. M.
1
2020
The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group. Zbl 1456.20008
Tsilevich, N. V.; Vershik, A. M.; Yuzvinsky, S.
1
2020
The ties that bind. Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg. Zbl 1454.01033
Dumbaugh, Della; Daskalopoulos, Panagiota; Vershik, Anatoly; Kapitanski, Lev; Reshetikhin, Nicolai; Apushkinskaya, Darya; Nazarov, Alexander
1
2020
Three theorems on the uniqueness of the Plancherel measure from different viewpoints. Zbl 1436.20020
Vershik, A. M.
7
2019
Asymptotics of the partition of the cube into Weyl simplices and an encoding of a Bernoulli scheme. Zbl 1427.37033
Vershik, A. M.
3
2019
On a universal Borel adic space. Zbl 1435.28017
Vershik, A. M.; Zatitskii, P. B.
2
2019
The absolute of finitely generated groups. I: Commutative (semi)groups. Zbl 1403.28014
Vershik, Anatoly M.; Malyutin, Andrei V.
7
2018
Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph. Zbl 1418.28001
Vershik, A. M.; Zatitskiy, Pavel B.
2
2018
Infinite geodesics in the discrete Heisenberg group. Zbl 1393.37047
Vershik, A. M.; Malyutin, A. V.
1
2018
The absolute of finitely generated groups. II: The Laplacian and degenerate parts. Zbl 1483.20125
Vershik, A. M.; Malyutin, A. V.
1
2018
The theory of filtrations of subalgebras, standardness, and independence. Zbl 1370.05220
Vershik, A. M.
13
2017
Universal adic approximation, invariant measures and scaled entropy. Zbl 1382.37009
Vershik, Anatolii M.; Zatitskii, Pavel B.
3
2017
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
2
2017
Special representations of the Iwasawa subgroups of simple Lie groups. Zbl 1375.22010
Vershik, A. M.; Graev, M. I.
1
2017
Equivalence of the Brownian and energy representations. Zbl 1360.22026
Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M.
5
2016
Smoothness and standardness in the theory of \(AF\)-algebras and in the problem on invariant measures. Zbl 1388.22004
Vershik, A.
3
2016
Asymptotic theory of path spaces of graded graphs and its applications. Zbl 1409.37051
Vershik, Anatoly M.
3
2016
On the classification problem of measurable functions in several variables and on matrix distributions. Zbl 1379.37008
Vershik, A. M.; Haböck, Ulrich
2
2016
Cohomology of the Iwasawa subgroup of the group \(U(p,p)\) in nonunitary representations. Zbl 1354.22019
Vershik, A. M.; Graev, M. I.
2
2016
Laplace operators in gamma analysis. Zbl 1498.60172
Hagedorn, Dennis; Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly
2
2016
Integration of virtually continuous functions over bistochastic measures and the trace formula for nuclear operators. Zbl 1345.28001
Vershik, A. M.; Zatitskiĭ, P. B.; Petrov, F. V.
1
2016
Equipped graded graphs, projective limits of simplices, and their boundaries. Zbl 1323.05127
Vershik, A. M.
18
2015
Laplace operators on the cone of Radon measures. Zbl 1327.60105
Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly
12
2015
Classification of finite metric spaces and combinatorics of convex polytopes. Zbl 1348.54021
Vershik, A. M.
11
2015
Phase transition in the exit boundary problem for random walks on groups. Zbl 1328.60117
Vershik, A. M.; Malyutin, A. V.
8
2015
Several remarks on Pascal automorphism and infinite ergodic theory. Zbl 1344.37012
Vershik, Anatoly M.
4
2015
Standardness as an invariant formulation of independence. Zbl 1383.28001
Vershik, A. M.
3
2015
The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra \(\widehat{\mathfrak{sl}_2}\). Zbl 1319.20011
Tsilevich, Natalia V.; Vershik, Anatoly M.
2
2015
The problem of describing central measures on the path spaces of graded graphs. Zbl 1370.37005
Vershik, A. M.
16
2014
Finite traces and representations of the group of infinite matrices over a finite field. Zbl 1286.22004
Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly
16
2014
Intrinsic metric on graded graphs, standardness, and invariant measures. Zbl 1336.28014
Vershik, A. M.
15
2014
Virtual continuity of measurable functions and its applications. Zbl 1320.28003
Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V.
6
2014
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007
Tsilevich, N. V.; Vershik, A. M.
6
2014
A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017
Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A.
4
2014
Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)). Zbl 1317.22011
Vershik, A. M.; Graev, M. I.
3
2014
Two ways to define compatible metrics on the simplex of measures. Zbl 1319.46024
Vershik, A. M.
1
2014
Nonsingular transformations of symmetric Lévy processes. Zbl 1317.60057
Vershik, A. M.; Smorodina, N. V.
1
2014
Long history of the Monge-Kantorovich transportation problem. Zbl 1284.01041
Vershik, A. M.
34
2013
Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004
Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V.
27
2013
\(C^*\)-algebras associated with endomorphisms and polymorphisms of compact abelian groups. Zbl 1278.46050
Cuntz, Joachim; Vershik, Anatoly
10
2013
Virtual continuity of measurable functions of several variables and embedding theorems. Zbl 1305.28004
Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V.
5
2013
On classification of measurable functions of several variables. Zbl 1388.28003
Vershik, A. M.
3
2013
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups. Zbl 1298.22006
Vershik, Anatoly M.; Graev, Mark I.
2
2013
Between “very large” and “infinite”: the asymptotic representation theory. Zbl 1292.20012
Vershik, Anatoly
1
2013
Totally nonfree actions and the infinite symmetric group. Zbl 1294.37004
Vershik, A. M.
38
2012
Scaling entropy and automorphisms with pure point spectrum. Zbl 1251.37009
Vershik, A. M.
13
2012
The Poisson model of the Fock space and representations of current groups. Zbl 1256.81058
Vershik, A. M.; Graev, M. I.
3
2012
Special representations of the groups \(U(\infty,1)\) and \(O(\infty,1)\) and the associated representations of the current groups \(U(\infty,1)^X\) and \(O(\infty,1)^X\) in quasi-Poisson spaces. Zbl 1279.22032
Vershik, A. M.; Graev, M. I.
2
2012
Leonid Vital’evich Kantorovich (on the 100th anniversary of his birth). Zbl 1253.01043
Vershik, A. M.; Kutateladze, S. S.; Novikov, S. P.
1
2012
Nonfree actions of countable groups and their characters. Zbl 1279.37004
Vershik, A. M.
25
2011
The Pascal automorphism has a continuous spectrum. Zbl 1271.37007
Vershik, A. M.
12
2011
Description of the characters and factor representations of the infinite symmetric inverse semigroup. Zbl 1271.20072
Vershik, A. M.; Nikitin, P. P.
5
2011
The word and geodesic problems in free solvable groups. Zbl 1207.20026
Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A.
24
2010
Dynamics of metrics in measure spaces and their asymptotic invariants. Zbl 1203.37020
Vershik, A. M.
20
2010
Numerical experiments in problems of asymptotic representation theory.. Zbl 1288.20012
Vershik, A.; Pavlov, D.
8
2010
Uncountable graphs and invariant measures on the set of universal countable graphs. Zbl 1209.05158
Petrov, Fedor; Vershik, Anatoly
8
2010
Mikhail Shlemovich Birman (obituary). Zbl 1219.01025
Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R.
2
2010
Orbit theory, locally finite permutations and Morse arithmetic. Zbl 1217.37002
Vershik, A. M.
2
2010
Integral models of representations of the current groups of simple Lie groups. Zbl 1202.22019
Vershik, A. M.; Graev, M. I.
3
2009
The adic realization of the Morse transformation and the extension of its action to the solenoid. Zbl 1303.37004
Vershik, A. M.; Solomyak, B.
1
2009
Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016
Melleray, J.; Petrov, F. V.; Vershik, A. M.
19
2008
Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space. Zbl 1160.54020
Vershik, A. M.
18
2008
Scaled entropy of filtrations of \(\sigma\)-fields. Zbl 1161.28005
Vershik, A. M.; Gorbulsky, A. D.
11
2008
Algebraic polymorphisms. Zbl 1154.37304
Schmidt, Klaus; Vershik, Anatoly
6
2008
Integral models of representations of current groups. Zbl 1162.22019
Vershik, A. M.; Graev, M. I.
6
2008
Invariant measures for the continual Cartan subgroup. Zbl 1187.37007
Vershik, A. M.
5
2008
The behavior of the Laplace transform of the invariant measure on the hypersphere of high dimension. Zbl 1178.58010
Vershik, A. M.
4
2008
A new approach to the representation theory of the symmetric groups. IV: \(\mathbb{Z}_2\)-graded groups and algebras; projective representations of the group \(S_n\). Zbl 1196.20017
Vershik, A. M.; Sergeev, A. N.
3
2008
The local stationary presentation of the alternating groups and the normal form. Zbl 1150.20001
Vershik, A.; Vsemirnov, M.
3
2008
Integral models of unitary representations of current groups with values in semidirect products. Zbl 1162.22020
Vershik, A. M.; Graev, M. I.
2
2008
Representation theory, dynamical systems, combinatorial methods. Part 16. (Теория представлений, динамические системы, комбинаторные методы. 16.) Zbl 1170.49302
1
2008
Boundaries of braid groups and the Markov-Ivanovsky normal form. Zbl 1155.60033
Vershik, A. M.; Malyutin, A. V.
1
2008
Does there exist a Lebesgue measure in the infinite-dimensional space? Zbl 1165.28003
Vershik, A. M.
26
2007
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
5
2007
Krein duality, positive 2-algebras, and the dilation of comultiplications. Zbl 1184.16034
Vershik, A. M.
3
2007
Markov measures on Young tableaux and induced representations of the infinite symmetric group. Zbl 1155.20013
Vershik, A. M.; Tsilevich, N. V.
2
2007
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
2
2007
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
1
2007
What is good for mathematics? Thoughts on the Clay Millennium Prizes. Zbl 1128.01314
Vershik, Anatoly
1
2007
\(C^*\)-algebras of irreversible dynamical systems. Zbl 1104.46037
Exel, R.; Vershik, A.
34
2006
The Kantorovich metric: the initial history and little-known applications. Zbl 1090.28009
Vershik, A. M.
25
2006
Some isometry groups of the Urysohn space. Zbl 1108.54027
Cameron, P. J.; Vershik, A. M.
24
2006
Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026
Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly
14
2006
Structure of the complementary series and special representations of the groups \(O(n,1)\) and \(U(n,1)\). Zbl 1148.22017
Vershik, A. M.; Graev, M. I.
11
2006
Fluctuations of the maximal particle energy of the quantum ideal gas and random partitions. Zbl 1113.82010
Vershik, A.; Yakubovich, Yu.
7
2006
What does a generic Markov operator look like? Zbl 1173.47306
Vershik, A. M.
6
2006
On different models of representations of the infinite symmetric group. Zbl 1149.20013
Tsilevich, N. V.; Vershik, A. M.
5
2006
Traces on infinite-dimensional Brauer algebras. Zbl 1137.20011
Nikitin, P. P.; Vershik, A. M.
4
2006
Compactness of the congruence group of measurable functions in several variables. Zbl 1127.28001
Vershik, A. M.; Haböck, U.
2
2006
Gelfand-Tsetlin algebras, expectations, inverse limits, Fourier analysis. Zbl 1101.22002
Vershik, A. M.
2
2006
Universality and randomness for the graphs and metric spaces. 2nd printing. Zbl 1134.05098
Vershik, A. M.
1
2006
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
19
2005
...and 208 more Documents
all top 5

Cited by 2,288 Authors

122 Vershik, Anatoliĭ Moiseevich
40 Maslov, Viktor Pavlovich
32 Ol’shanskiĭ, Grigoriĭ Iosifovich
26 Borodin, Alexei
22 Kerov, Sergei V.
22 Neretin, Yuriĭ Aleksandrovich
20 Albeverio, Sergio A.
19 Kaimanovich, Vadim A.
19 Petrov, Fedor Vladimirovich
19 Sachkov, Yuriĭ Leonidovich
15 Gorin, Vadim
15 Lytvynov, Eugene W.
15 Tsilevich, Natalia V.
14 Bufetov, Aleksandr Igorevich
14 Erschler, Anna
14 Zatitskii, Pavel B.
13 Graev, Mark Iosifovich
13 Kabluchko, Zakhar A.
12 Bufetov, Alekseĭ Igor’evich
12 Sakbaev, Vsevolod Zhanovich
11 Grigorchuk, Rostislav Ivanovich
11 Kondrat’yev, Yuriĭ Grygorovych
11 Peres, Yuval
11 Petrov, Leonid
11 Ryzhikov, Valeriĭ Valentinovich
11 Solomyak, Boris
11 Woess, Wolfgang
10 Bogolyubov, Nikolaĭ Mikhaĭlovich
10 Nazaikinskii, Vladimir E.
10 Pak, Igor
10 Śniady, Piotr
9 Fel’shtyn, Alexander
9 Hartman, Yair
9 Sidorov, Nikita A.
9 Troitskiĭ, Evgeniĭ Vadimovich
8 Berestovskiĭ, Valeriĭ Nikolaevich
8 Bogachev, Leonid V.
8 Diaconis, Persi Warren
8 Granovsky, Boris L.
8 Hubička, Jan
8 Nešetřil, Jaroslav
8 Okun’kov, Andreĭ Yur’evich
8 Panova, Greta
8 Rains, Eric M.
8 Regev, Amitai
8 Strahov, Eugene
8 Tamuz, Omer
7 Agrachev, Andreĭ Aleksandrovich
7 Björklund, Michael
7 Brieussel, Jérémie
7 Daletskii, Alexei
7 de León Rodríguez, Manuel
7 Doucha, Michal
7 Feldman, Jacob
7 Kirillov, Anatol N.
7 Konečný, Matěj
7 Melleray, Julien
7 Minabutdinov, A. R.
7 Myasnikov, Alexei G.
7 Ushakov, Alexander S.
7 Yor, Marc
6 Assiotis, Theodoros
6 Bárány, Imre
6 Berthé, Valérie
6 Bezuglyi, Sergey I.
6 Bowen, Lewis Phylip
6 Cuenca, Cesar
6 Dudko, Artem
6 Ferenczi, Sébastien
6 Fomin, Sergey Vladimirovich
6 Gnedin, Alexander V.
6 Grigoryan, Suren Arshakovich
6 Høegh-Krohn, Raphael J.
6 Hołubowski, Waldemar
6 Kalantar, Mehrdad
6 Kapovich, Ilya
6 Mairesse, Jean
6 Mohan, Manil Thankamani
6 Nessonov, Nikolai I.
6 Nikitin, Pavel P.
6 Pitman, Jim William
6 Schmidt, Klaus
6 Siegel, Anne
6 Smorodina, Natal’ya Vasil’evna
6 Thomas, Simon R.
6 Warnaar, S. Ole
6 Yakubovich, Yuri V.
6 Zeindler, Dirk
6 Zheng, Tianyi
5 Bloch, Anthony Michael
5 Busovikov, Vladimir M.
5 Corwin, Ivan Z.
5 Forghani, Behrang
5 Frenkel, Igor B.
5 Fulman, Jason E.
5 Goodman, Frederick M.
5 Hora, Akihito
5 Kosyak, Alexandre V.
5 Kuznetsova, Alla. Yu.
5 Kwaśniewski, Bartosz Kosma
...and 2,188 more Authors
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Cited in 395 Serials

147 Journal of Mathematical Sciences (New York)
87 Functional Analysis and its Applications
65 Advances in Mathematics
63 Journal of Functional Analysis
55 The Annals of Probability
47 Transactions of the American Mathematical Society
45 Journal of Algebra
43 Israel Journal of Mathematics
42 Mathematical Notes
37 Probability Theory and Related Fields
35 Ergodic Theory and Dynamical Systems
34 Communications in Mathematical Physics
34 Journal of Soviet Mathematics
33 Journal of Mathematical Physics
32 Siberian Mathematical Journal
31 Proceedings of the American Mathematical Society
25 Advances in Applied Mathematics
22 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
21 Russian Journal of Mathematical Physics
20 Journal of Geometry and Physics
20 Annales de l’Institut Fourier
20 Journal of Dynamical and Control Systems
18 Duke Mathematical Journal
18 Topology and its Applications
17 Theoretical and Mathematical Physics
17 Journal of Algebraic Combinatorics
16 Journal of Statistical Physics
16 Inventiones Mathematicae
16 Journal of Combinatorial Theory. Series A
16 Stochastic Processes and their Applications
15 Monatshefte für Mathematik
14 Journal d’Analyse Mathématique
14 International Journal of Algebra and Computation
13 Discrete Mathematics
13 Journal of Mathematical Analysis and Applications
13 Journal of Differential Equations
13 European Journal of Combinatorics
13 Journal of Theoretical Probability
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Russian Mathematical Surveys
12 Discrete & Computational Geometry
12 The Annals of Applied Probability
12 Geometric and Functional Analysis. GAFA
12 Electronic Journal of Probability
12 Groups, Geometry, and Dynamics
12 Journal of Physics A: Mathematical and Theoretical
11 Letters in Mathematical Physics
11 Mathematische Zeitschrift
11 Random Structures & Algorithms
11 Linear Algebra and its Applications
11 Bulletin of the American Mathematical Society. New Series
11 Russian Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Infinite Dimensional Analysis, Quantum Probability and Related Topics
10 Acta Applicandae Mathematicae
10 St. Petersburg Mathematical Journal
10 Bernoulli
10 Journal of High Energy Physics
10 Proceedings of the Steklov Institute of Mathematics
9 Communications in Algebra
9 Reports on Mathematical Physics
9 Compositio Mathematica
9 Mathematische Annalen
9 Discrete and Continuous Dynamical Systems
9 Doklady Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Memoirs of the American Mathematical Society
8 International Journal of Mathematics
8 The Electronic Journal of Combinatorics
8 Algebras and Representation Theory
7 Nuclear Physics. B
7 Theory of Probability and its Applications
7 Geometriae Dedicata
7 Journal of the London Mathematical Society. Second Series
7 Statistics & Probability Letters
7 Combinatorics, Probability and Computing
7 Selecta Mathematica. New Series
7 Annals of Mathematics. Second Series
6 International Journal of Theoretical Physics
6 Nonlinearity
6 Reviews in Mathematical Physics
6 The Mathematical Intelligencer
6 Integral Equations and Operator Theory
6 Theoretical Computer Science
6 Annals of Pure and Applied Logic
6 Differential Geometry and its Applications
6 Indagationes Mathematicae. New Series
6 Vestnik St. Petersburg University. Mathematics
6 Journal of Modern Dynamics
6 Algebraic Combinatorics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Bulletin of the London Mathematical Society
5 SIAM Journal on Optimization
5 Sbornik: Mathematics
5 Séminaire Lotharingien de Combinatoire
5 Transformation Groups
5 Dynamical Systems
5 Journal of Algebra and its Applications
5 Journal of Statistical Mechanics: Theory and Experiment
5 Journal of Geometric Mechanics
...and 295 more Serials
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Cited in 61 Fields

742 Probability theory and stochastic processes (60-XX)
467 Group theory and generalizations (20-XX)
465 Combinatorics (05-XX)
415 Dynamical systems and ergodic theory (37-XX)
271 Topological groups, Lie groups (22-XX)
218 Measure and integration (28-XX)
213 Functional analysis (46-XX)
160 Statistical mechanics, structure of matter (82-XX)
146 Differential geometry (53-XX)
144 Abstract harmonic analysis (43-XX)
119 Number theory (11-XX)
116 Quantum theory (81-XX)
102 Global analysis, analysis on manifolds (58-XX)
95 Operator theory (47-XX)
90 Convex and discrete geometry (52-XX)
82 Nonassociative rings and algebras (17-XX)
81 Computer science (68-XX)
75 General topology (54-XX)
64 Mechanics of particles and systems (70-XX)
62 Partial differential equations (35-XX)
61 Statistics (62-XX)
58 Linear and multilinear algebra; matrix theory (15-XX)
56 Special functions (33-XX)
55 Mathematical logic and foundations (03-XX)
55 Associative rings and algebras (16-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
46 Manifolds and cell complexes (57-XX)
33 Operations research, mathematical programming (90-XX)
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28 Numerical analysis (65-XX)
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21 Order, lattices, ordered algebraic structures (06-XX)
20 History and biography (01-XX)
20 Geometry (51-XX)
19 Algebraic topology (55-XX)
18 Functions of a complex variable (30-XX)
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16 Several complex variables and analytic spaces (32-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Biology and other natural sciences (92-XX)
12 Ordinary differential equations (34-XX)
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10 Commutative algebra (13-XX)
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3 General algebraic systems (08-XX)
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2 Optics, electromagnetic theory (78-XX)
2 Mathematics education (97-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)

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