Edit Profile (opens in new tab) Vershik, Anatoliĭ Moiseevich (b. 1933 d. 2024) Co-Author Distance Author ID: vershik.anatoli-m 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 more...less 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 Documents Indexed: 404 Publications since 1958, including 2 Books and 20 Additional arXiv Preprints 49 Contributions as Editor · 3 Further Contributions Biographic References: 3 Publications Co-Authors: 317 Co-Authors with 271 Joint Publications 8,716 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) 29 Algebraic geometry (14-XX) 28 Numerical analysis (65-XX) 28 Systems theory; control (93-XX) 26 Potential theory (31-XX) 25 Fluid mechanics (76-XX) 23 Information and communication theory, circuits (94-XX) 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) 18 Harmonic analysis on Euclidean spaces (42-XX) 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) 11 General and overarching topics; collections (00-XX) 10 Commutative algebra (13-XX) 10 Category theory; homological algebra (18-XX) 9 Real functions (26-XX) 9 Approximations and expansions (41-XX) 9 Relativity and gravitational theory (83-XX) 8 Difference and functional equations (39-XX) 7 \(K\)-theory (19-XX) 7 Integral transforms, operational calculus (44-XX) 7 Integral equations (45-XX) 7 Classical thermodynamics, heat transfer (80-XX) 3 General algebraic systems (08-XX) 3 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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