Edit Profile (opens in new tab) Vershik, Anatoliĭ Moiseevich Compute Distance To: Compute 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 Homepage: http://www.pdmi.ras.ru/~vershik External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 373 Publications since 1958, including 2 Books 48 Contributions as Editor · 3 Further Contributions Biographic References: 3 Publications Co-Authors: 281 Co-Authors with 257 Joint Publications 7,136 Co-Co-Authors all top 5 Co-Authors 161 single-authored 25 Graev, Mark Iosifovich 25 Tsilevich, Natalia V. 19 Kerov, Sergei V. 14 Gel’fand, Israil’ Moiseevich 12 Gershkovich, V. Ya. 9 Ladyzhenskaya, Ol’ga Aleksandrovna 9 Sinaĭ, Yakov Grigor’evich 8 Novikov, Sergeĭ Petrovich 7 Faddeev, Lyudvig Dmitrievich 7 Petrov, Fedor Vladimirovich 7 Zatitskii, Pavel B. 6 Malyutin, Andrei Valer’evich 6 Ol’shanskiĭ, Grigoriĭ Iosifovich 5 Arnol’d, Vladimir Igorevich 5 Okun’kov, Andreĭ Yur’evich 5 Vasil’ev, N. N. 5 Viro, Oleg Ya. 5 Yakubovich, Yuri V. 4 Barvinok, Alexander I. 4 Birman, Mikhail Shlëmovich 4 Gindikin, Simon Grigorevich 4 Lando, Sergei K. 4 Mnëv, Nikolai Evgen’evich 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 Bukhshtaber, Viktor Matveevich 3 Chernyakov, A. G. 3 Dobrushin, Roland L’vovich 3 Evdokimov, Sergeĭ Alekseevich 3 Faddeev, Dmitriĭ Konstantinovich 3 Fuchs, Dmitry Borisovich 3 Khavin, Viktor Petrovich 3 Ibragimov, Il’dar Abdullovich 3 Kaimanovich, Vadim A. 3 Kirillov, Alexandre Aleksandrovich 3 Kornfel’d, I. P. 3 Leonov, Gennadiĭ Alekseevich 3 Maslov, Viktor Pavlovich 3 Minlos, Robert Adol’fovich 3 Molchanov, Vladimir Fedorovich 3 Nechaev, Sergeĭ Konstantinovich 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 Shubin, Mikhail Aleksandrovich 3 Sporyshev, P. V. 3 Ural’tseva, Nina Nikolaevna 3 Vasil’ev, Viktor Anatol’evich 3 Yafaev, Dimitri R. 2 Albeverio, Sergio A. 2 Arzumanyan, Victor Abramovich 2 Babich, Vasiliĭ Mikhaĭlovich 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 Haböck, Ulrich 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 Krasil’shchik, Joseph 2 Krichever, Igor’ Moiseevich 2 Kuhn, Maria Gabriella 2 Kutateladze, Semën Samsonovich 2 Laptev, Ari 2 Leiterer, Jürgen 2 Lodkin, A. A. 2 Makarov, Boris Mikhaĭlovich 2 Malozemov, Vasily Nikolaevich 2 Malyshev, Vadim Aleksandrovich 2 Marchenko, Vladimir Aleksandrovich 2 McKean, Henry P. jun. 2 Melleray, Julien 2 Mysovskikh, Ivan Petrovich 2 Naboko, Serguei N. 2 Nazarov, Alexander I. 2 2 Pavlov, Boris Sergeevich ...and 211 more Co-Authors all top 5 Serials 50 Journal of Mathematical Sciences (New York) 39 Russian Mathematical Surveys 36 Functional Analysis and its Applications 20 Soviet Mathematics. Doklady 17 Zapiski Nauchnykh Seminarov POMI 16 Journal of Soviet Mathematics 9 St. Petersburg Mathematical Journal 9 Moscow Mathematical Journal 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 8 Theory of Probability and its Applications 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 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 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 1 European Journal of Mathematics all top 5 Fields 103 Group theory and generalizations (20-XX) 80 Measure and integration (28-XX) 78 Combinatorics (05-XX) 76 Dynamical systems and ergodic theory (37-XX) 63 History and biography (01-XX) 63 Probability theory and stochastic processes (60-XX) 57 Topological groups, Lie groups (22-XX) 49 General and overarching topics; collections (00-XX) 45 Functional analysis (46-XX) 28 Number theory (11-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Operations research, mathematical programming (90-XX) 24 Operator theory (47-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Computer science (68-XX) 20 Numerical analysis (65-XX) 20 Quantum theory (81-XX) 19 Nonassociative rings and algebras (17-XX) 18 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) 8 Algebraic geometry (14-XX) 8 Manifolds and cell complexes (57-XX) 7 Partial differential equations (35-XX) 7 Mechanics of particles and systems (70-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 3 \(K\)-theory (19-XX) 3 Approximations and expansions (41-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Special functions (33-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) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-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 Algebraic topology (55-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 284 Publications have been cited 3,065 times in 1,965 Documents Cited by ▼ Year ▼ Random walks on discrete groups: Boundary and entropy. Zbl 0641.60009Kaimanovich, V. A.; Vershik, A. M. 210 1983 Asymptotics of the Plancherel measure of the symmetric group and the limiting form of Young tableaux. Zbl 0406.05008Vershik, A. M.; Kerov, S. V. 130 1977 Statistical mechanics of combinatorial partitions, and their limit shapes. Zbl 0868.05004Vershik, A. M. 112 1996 Nonholonomic dynamical systems, geometry of distributions and variational problems. Zbl 0797.58007Vershik, A. M.; Gershkovich, V. Ya. 96 1987 A new approach to representation theory of symmetric groups. Zbl 0959.20014Okounkov, Andrei; Vershik, Anatoly 83 1996 Asymptotic theory of characters of the symmetric group. Zbl 0507.20006Vershik, A. M.; Kerov, S. V. 69 1982 Characters and factor representations of the infinite symmetric group. Zbl 0534.20008Vershik, A. M.; Kerov, S. V. 69 1981 Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group. Zbl 0592.20015Vershik, A. M.; Kerov, S. V. 53 1985 Harmonic analysis on the infinite symmetric group. Zbl 1057.43005Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly 48 2004 Characters and factor representations of the infinite unitary group. Zbl 0524.22017Vershik, A. M.; Kerov, S. V. 47 1982 Representations of the group of diffeomorphisms. Zbl 0337.58003Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 43 1975 Dynamic theory of growth in groups: Entropy, boundaries, examples. Zbl 0991.37005Vershik, A. M. 42 2000 Harmonic analysis on the infinite symmetric group. A deformation of the regular representation. Zbl 0796.43005Kerov, Serguei; Olshanski, Grigori; Vershik, Anatoli 42 1993 Limit measures arising in the asymptotic theory of symmetric groups. I. Zbl 0375.60007Vershik, A. M.; Shmidt, A. A. 36 1977 Adic models of ergodic transformations, spectral theory, substitutions, and related topics. Zbl 0770.28013Vershik, A. M.; Livshits, A. N. 33 1992 An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process. Zbl 0990.60053Tsilevich, Natalia; Vershik, Anatoly; Yor, Marc 32 2001 \(C^*\)-algebras of irreversible dynamical systems. Zbl 1104.46037Exel, R.; Vershik, A. 31 2006 The characters of the infinite symmetric group and probability properties of the Robinson-Schensted-Knuth algorithm. Zbl 0584.05004Kerov, Sergei V.; Vershik, Anatol M. 31 1986 Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016Ol’shanskij, Grigorij; Vershik, Anatolij 30 1996 Decreasing sequences of measurable partitions and their applications. Zbl 0238.28011Vershik, A. M. 30 1970 Totally nonfree actions and the infinite symmetric group. Zbl 1294.37004Vershik, A. M. 29 2012 Uniform algebraic approximation of shift and multiplication operators. Zbl 0484.47005Vershik, A. M. 29 1981 Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077Kenyon, Richard; Vershik, Anatoly 27 1998 Long history of the Monge-Kantorovich transportation problem. Zbl 1284.01041Vershik, A. M. 27 2013 Description of invariant measures for the actions of some infinite- dimensional groups. Zbl 0324.28014Vershik, A. M. 27 1974 \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005Okounkov, Andrei; Vershik, Anatoly 25 1998 Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems. Zbl 0916.28012Sidorov, Nikita; Vershik, Anatoly 25 1998 Nonfree actions of countable groups and their characters. Zbl 1279.37004Vershik, A. M. 25 2011 Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles. Zbl 0734.49023Vershik, A. M.; Granichina, O. A. 24 1991 Large deviations for integer partitions. Zbl 0972.60006Dembo, A.; Vershik, A.; Zeitouni, O. 24 2000 Differential geometry and Lagrangian mechanics with constraints. Zbl 0243.70014Vershik, A. M.; Faddeev, L. D. 23 1972 The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers. Zbl 1005.53036Vershik, A. M. 22 1998 Some isometry groups of the Urysohn space. Zbl 1108.54027Cameron, P. J.; Vershik, A. M. 22 2006 Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0288.22005Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 22 1973 A theorem on the Markov periodic approximation in ergodic theory. Zbl 0559.47006Vershik, A. M. 22 1985 The Kantorovich metric: the initial history and little-known applications. Zbl 1090.28009Vershik, A. M. 21 2006 The limit shape of convex lattice polygons and related topics. Zbl 0848.52004Vershik, A. M. 20 1994 Does there exist a Lebesgue measure in the infinite-dimensional space? Zbl 1165.28003Vershik, A. M. 20 2007 Lagrangian mechanics in invariant form. Zbl 0518.58015Vershik, A. M.; Faddeev, L. D. 20 1975 Factorial representations of path groups. Zbl 0522.22013Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A. 20 1983 Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem. Zbl 0791.52011Vershik, A. M.; Sporyshev, P. V. 20 1992 The word and geodesic problems in free solvable groups. Zbl 1207.20026Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A. 20 2010 Multivalued mappings with invariant measure (polymorphisms) and Markov operators. Zbl 0408.28014Vershik, A. M. 19 1977 On the number of convex lattice polytopes. Zbl 0772.52010Bárány, I.; Vershik, A. M. 18 1992 On an infinite-dimensional group over a finite field. Zbl 1089.22006Vershik, A. M.; Kerov, S. V. 18 1998 Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor. Zbl 0623.46036Vershik, A. M.; Kerov, S. V. 18 1987 The Grothendieck group of infinite symmetric group and symmetric functions (with the elements of the theory of \(K_ 0\)-functor of AF- algebras). Zbl 0723.20005Vershik, A. M.; Kerov, S. V. 18 1990 Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016Melleray, J.; Petrov, F. V.; Vershik, A. M. 18 2008 Random metric spaces and universality. Zbl 1065.60005Vershik, A. M. 17 2003 Amenability and approximation of infinite groups. Zbl 0533.22007Vershik, A. 17 1982 Nonholonomic problems and the theory of distributions. Zbl 0666.58004Vershik, A. M.; Gershkovich, V. Ya. 17 1988 Statistical properties of locally free groups with applications to braid groups and growth of random heaps. Zbl 1010.20056Vershik, A. M.; Nechaev, S.; Bikbov, R. 17 2000 Representations of the group \(\text{SL}(2, R)\), where \(R\) is a ring of functions. Zbl 0297.22003Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 16 1973 Representations of the group of smooth mappings of a manifold \(X\) into a compact Lie group. Zbl 0368.53034Gelfand, I. M.; Graev, M. I.; Vershik, A. M. 16 1977 Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V. 16 2013 Some characteristic properties of Gaussian stochastic processes. Zbl 0141.15203Vershik, A. M. 16 1965 The theory of decreasing sequences of measurable partitions. Zbl 0853.28009Vershik, A. M. 16 1994 The theorem about the periodic Markov approximation in ergodic theory. Zbl 0505.47006Vershik, A. M. 16 1982 A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502Vershik, A. M.; Okoun’kov, A. Yu. 15 2005 The problem of describing central measures on the path spaces of graded graphs. Zbl 1370.37005Vershik, A. M. 15 2014 Equipped graded graphs, projective limits of simplices, and their boundaries. Zbl 1323.05127Vershik, A. M. 14 2015 The limit shape and fluctuations of random partitions of naturals with fixed number of summands. Zbl 0996.05006Vershik, A.; Yakubovich, Yu. 14 2001 Polymorphisms, Markov processes, and quasi-similarity. Zbl 1115.37002Vershik, A. M. 14 2005 Asymptotic combinatorics and algebraic analysis. Zbl 0843.05003Vershik, Anatoly M. 14 1995 Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems). Zbl 0691.17012Savel’ev, M. V.; Vershik, A. M. 14 1989 Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly 14 2006 Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space. Zbl 1160.54020Vershik, A. M. 14 2008 Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms. Zbl 0949.37023Sidorov, N.; Vershik, A. 14 1998 Cohomology of groups in unitary representations, the neighborhood of the identity, and conditionally positive definite functions. Zbl 0528.43005Vershik, A. M.; Karpushev, S. I. 14 1984 Dynamics of metrics in measure spaces and their asymptotic invariants. Zbl 1203.37020Vershik, A. M. 14 2010 Intrinsic metric on graded graphs, standardness, and invariant measures. Zbl 1336.28014Vershik, A. M. 13 2014 Irreducible representations of the group \(G^X\) and cohomologies. Zbl 0299.22004Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 13 1974 Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. Zbl 1060.46056Vershik, A. M.; Tsilevich, N. V. 13 2003 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 0938.60040Tsilevich, Natalia; Vershik, Anatoly 13 1999 Classification of measurable functions of several variables and invariantly distributed random matrices. Zbl 1025.28010Vershik, A. M. 12 2002 Limit measures arising in the asymptotic theory of symmetric groups. II. Zbl 0423.60009Vershik, A. M.; Shmidt, A. A. 12 1978 A local limit theorem for random strict partitions. Zbl 0969.60034Vershik, A. M.; Freĭman, G. A.; Yakubovich, Yu. V. 12 1999 Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts. Zbl 0810.58031Vershik, A. M. 12 1992 Nonholonomic manifolds and nilpotent analysis. Zbl 0693.53006Gershkovich, V.; Vershik, A. 12 1988 Finite traces and representations of the group of infinite matrices over a finite field. Zbl 1286.22004Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly 12 2014 Frobenius-Schur functions (with an appendix by Vladimir Ivanov). Zbl 1051.05077Olshanski, Grigori; Regev, Amitai; Vershik, Anatoly 11 2003 On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046Vershik, A.; Yor, M.; Tsilevich, N. 11 2001 Some remarks on the infinite-dimensional problems of linear programming. Zbl 0224.90041Vershik, A. M. 11 1970 Representations of the group of functions taking values in a compact Lie group. Zbl 0449.22019Gelfand, I. M.; Graev, M. I.; Vershik, A. M. 11 1980 Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers. Zbl 0927.60089Vershik, A. M. 10 1997 Random walks on braid groups: Brownian bridges, complexity and statistics. Zbl 0901.60010Nechaev, S. K.; Grosberg, A. Yu.; Vershik, A. M. 10 1996 Theorem on lacunary isomorphisms of monotonic sequences of partitions. Zbl 0186.20203Vershik, A. M. 10 1968 Probability measures in infinite-dimensional spaces. Zbl 0248.60007Vershik, A. M.; Sudakov, V. N. 10 1969 Characters and realizations of representations of an infinite-dimensional Hecke algebra, and knot invariants. Zbl 0716.20008Vershik, A. M.; Kerov, S. V. 10 1989 Local stationary algebras. Zbl 0810.16015Vershik, A. M. 10 1991 Cohomology of groups in unitary representations, neighbourhood of the unit and conditionally positive definite functions. Zbl 0513.43009Vershik, A. M.; Karpushev, S. I. 10 1982 Many-valued measure-preserving mappings (polymorphisms) and Markovian operators. Zbl 0517.28016Vershik, A. M. 10 1983 A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup. Zbl 0536.22008Vershik, A. M.; Gel’fand, I. M.; Graev, M. I. 10 1983 The theory of filtrations of subalgebras, standardness, and independence. Zbl 1370.05220Vershik, A. M. 10 2017 The Pascal automorphism has a continuous spectrum. Zbl 1271.37007Vershik, A. M. 9 2011 Examples of nonlinear continuous tensor products of measure spaces and non-Fock factorizations. Zbl 0912.46022Tsirelson, B. S.; Vershik, A. M. 9 1998 Product of commuting spectral measures need not be countably additive. Zbl 0423.28008Birman, M. Sh.; Vershik, A. M.; Solomyak, M. Z. 9 1979 Structure of the complementary series and special representations of the groups \(O(n,1)\) and \(U(n,1)\). Zbl 1148.22017Vershik, A. M.; Graev, M. I. 9 2006 \(C^*\)-algebras associated with endomorphisms and polymorphisms of compact abelian groups. Zbl 1278.46050Cuntz, Joachim; Vershik, Anatoly 9 2013 Convex rearrangements of random walks. (Réarrangements convexes des marches aléatoires.) Zbl 0903.60006Davydov, Yu.; Vershik, A. M. 8 1998 Ergodicity and totality of partitions associated with the RSK correspondence. Zbl 1475.05171Vershik, A. M.; Tsilevich, N. V. 1 2021 A method of defining central and Gibbs measures and the ergodic method. Zbl 07424703Vershik, A. M. 1 2021 Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux. Zbl 1450.05098Vershik, A. M. 1 2020 Three theorems on the uniqueness of the Plancherel measure from different viewpoints. Zbl 1436.20020Vershik, A. M. 5 2019 Asymptotics of the partition of the cube into Weyl simplices and an encoding of a Bernoulli scheme. Zbl 1427.37033Vershik, A. M. 3 2019 The absolute of finitely generated groups. I: Commutative (semi)groups. Zbl 1403.28014Vershik, Anatoly M.; Malyutin, Andrei V. 5 2018 Infinite geodesics in the discrete Heisenberg group. Zbl 1393.37047Vershik, A. M.; Malyutin, A. V. 1 2018 The absolute of finitely generated groups. II: The Laplacian and degenerate parts. Zbl 1483.20125Vershik, A. M.; Malyutin, A. V. 1 2018 The theory of filtrations of subalgebras, standardness, and independence. Zbl 1370.05220Vershik, A. M. 10 2017 On the relationship between combinatorial functions and representation theory. Zbl 1369.20013Vershik, A. M.; Tsilevich, N. V. 1 2017 Special representations of the Iwasawa subgroups of simple Lie groups. Zbl 1375.22010Vershik, A. M.; Graev, M. I. 1 2017 Universal adic approximation, invariant measures and scaled entropy. Zbl 1382.37009Vershik, Anatolii M.; Zatitskii, Pavel B. 1 2017 Equivalence of the Brownian and energy representations. Zbl 1360.22026Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M. 3 2016 Cohomology of the Iwasawa subgroup of the group \(U(p,p)\) in nonunitary representations. Zbl 1354.22019Vershik, A. M.; Graev, M. I. 2 2016 Integration of virtually continuous functions over bistochastic measures and the trace formula for nuclear operators. Zbl 1345.28001Vershik, A. M.; Zatitskiĭ, P. B.; Petrov, F. V. 1 2016 Smoothness and standardness in the theory of \(AF\)-algebras and in the problem on invariant measures. Zbl 1388.22004Vershik, A. 1 2016 Asymptotic theory of path spaces of graded graphs and its applications. Zbl 1409.37051Vershik, Anatoly M. 1 2016 Equipped graded graphs, projective limits of simplices, and their boundaries. Zbl 1323.05127Vershik, A. M. 14 2015 Laplace operators on the cone of Radon measures. Zbl 1327.60105Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly 7 2015 Classification of finite metric spaces and combinatorics of convex polytopes. Zbl 1348.54021Vershik, A. M. 5 2015 Phase transition in the exit boundary problem for random walks on groups. Zbl 1328.60117Vershik, A. M.; Malyutin, A. V. 5 2015 Several remarks on Pascal automorphism and infinite ergodic theory. Zbl 1344.37012Vershik, Anatoly 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 1319.20011Tsilevich, Natalia V.; Vershik, Anatoly M. 2 2015 Standardness as an invariant formulation of independence. Zbl 1383.28001Vershik, A. M. 1 2015 The problem of describing central measures on the path spaces of graded graphs. Zbl 1370.37005Vershik, A. M. 15 2014 Intrinsic metric on graded graphs, standardness, and invariant measures. Zbl 1336.28014Vershik, A. M. 13 2014 Finite traces and representations of the group of infinite matrices over a finite field. Zbl 1286.22004Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly 12 2014 Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007Tsilevich, N. V.; Vershik, A. M. 4 2014 Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)). Zbl 1317.22011Vershik, A. M.; Graev, M. I. 3 2014 A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A. 3 2014 Virtual continuity of measurable functions and its applications. Zbl 1320.28003Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V. 2 2014 Nonsingular transformations of symmetric Lévy processes. Zbl 1317.60057Vershik, A. M.; Smorodina, N. V. 1 2014 Two ways to define compatible metrics on the simplex of measures. Zbl 1319.46024Vershik, A. M. 1 2014 Long history of the Monge-Kantorovich transportation problem. Zbl 1284.01041Vershik, A. M. 27 2013 Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V. 16 2013 \(C^*\)-algebras associated with endomorphisms and polymorphisms of compact abelian groups. Zbl 1278.46050Cuntz, Joachim; Vershik, Anatoly 9 2013 Virtual continuity of measurable functions of several variables and embedding theorems. Zbl 1305.28004Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V. 4 2013 On classification of measurable functions of several variables. Zbl 1388.28003Vershik, A. M. 2 2013 Special representations of nilpotent Lie groups and the associated Poisson representations of current groups. Zbl 1298.22006Vershik, Anatoly M.; Graev, Mark I. 1 2013 Totally nonfree actions and the infinite symmetric group. Zbl 1294.37004Vershik, A. M. 29 2012 Scaling entropy and automorphisms with pure point spectrum. Zbl 1251.37009Vershik, A. M. 7 2012 The Poisson model of the Fock space and representations of current groups. Zbl 1256.81058Vershik, A. M.; Graev, M. I. 2 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 1279.22032Vershik, A. M.; Graev, M. I. 2 2012 Leonid Vital’evich Kantorovich (on the 100th anniversary of his birth). Zbl 1253.01043Vershik, A. M.; Kutateladze, S. S.; Novikov, S. P. 1 2012 Nonfree actions of countable groups and their characters. Zbl 1279.37004Vershik, A. M. 25 2011 The Pascal automorphism has a continuous spectrum. Zbl 1271.37007Vershik, A. M. 9 2011 Description of the characters and factor representations of the infinite symmetric inverse semigroup. Zbl 1271.20072Vershik, A. M.; Nikitin, P. P. 3 2011 The word and geodesic problems in free solvable groups. Zbl 1207.20026Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A. 20 2010 Dynamics of metrics in measure spaces and their asymptotic invariants. Zbl 1203.37020Vershik, A. M. 14 2010 Uncountable graphs and invariant measures on the set of universal countable graphs. Zbl 1209.05158Petrov, Fedor; Vershik, Anatoly 7 2010 Numerical experiments in problems of asymptotic representation theory.. Zbl 1288.20012Vershik, A.; Pavlov, D. 6 2010 Orbit theory, locally finite permutations and Morse arithmetic. Zbl 1217.37002Vershik, A. M. 2 2010 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, 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. 1 2010 Integral models of representations of the current groups of simple Lie groups. Zbl 1202.22019Vershik, A. M.; Graev, M. I. 3 2009 The adic realization of the Morse transformation and the extension of its action to the solenoid. Zbl 1303.37004Vershik, A. M.; Solomyak, B. 1 2009 Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016Melleray, J.; Petrov, F. V.; Vershik, A. M. 18 2008 Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space. Zbl 1160.54020Vershik, A. M. 14 2008 Scaled entropy of filtrations of \(\sigma\)-fields. Zbl 1161.28005Vershik, A. M.; Gorbulsky, A. D. 8 2008 Integral models of representations of current groups. Zbl 1162.22019Vershik, A. M.; Graev, M. I. 6 2008 Algebraic polymorphisms. Zbl 1154.37304Schmidt, Klaus; Vershik, Anatoly 6 2008 Invariant measures for the continual Cartan subgroup. Zbl 1187.37007Vershik, A. M. 5 2008 The behavior of the Laplace transform of the invariant measure on the hypersphere of high dimension. Zbl 1178.58010Vershik, 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 1196.20017Vershik, A. M.; Sergeev, A. N. 3 2008 The local stationary presentation of the alternating groups and the normal form. Zbl 1150.20001Vershik, A.; Vsemirnov, M. 3 2008 Integral models of unitary representations of current groups with values in semidirect products. Zbl 1162.22020Vershik, 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 1155.60033Vershik, A. M.; Malyutin, A. V. 1 2008 Does there exist a Lebesgue measure in the infinite-dimensional space? Zbl 1165.28003Vershik, A. M. 20 2007 Induced representations of the infinite symmetric group. Zbl 1153.20008Tsilevich, N. V.; Vershik, A. M. 4 2007 Krein duality, positive 2-algebras, and the dilation of comultiplications. Zbl 1184.16034Vershik, A. M. 3 2007 Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010Vershik, A. M.; Tsilevich, N. V. 2 2007 Markov measures on Young tableaux and induced representations of the infinite symmetric group. Zbl 1155.20013Vershik, 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 1128.01314Vershik, Anatoly 1 2007 \(C^*\)-algebras of irreversible dynamical systems. Zbl 1104.46037Exel, R.; Vershik, A. 31 2006 Some isometry groups of the Urysohn space. Zbl 1108.54027Cameron, P. J.; Vershik, A. M. 22 2006 The Kantorovich metric: the initial history and little-known applications. Zbl 1090.28009Vershik, A. M. 21 2006 Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026Fel’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 1148.22017Vershik, A. M.; Graev, M. I. 9 2006 On different models of representations of the infinite symmetric group. Zbl 1149.20013Tsilevich, N. V.; Vershik, A. M. 5 2006 Fluctuations of the maximal particle energy of the quantum ideal gas and random partitions. Zbl 1113.82010Vershik, A.; Yakubovich, Yu. 5 2006 What does a generic Markov operator look like? Zbl 1173.47306Vershik, A. M. 4 2006 Gelfand-Tsetlin algebras, expectations, inverse limits, Fourier analysis. Zbl 1101.22002Vershik, A. M. 2 2006 Traces on infinite-dimensional Brauer algebras. Zbl 1137.20011Nikitin, P. P.; Vershik, A. M. 2 2006 Compactness of the congruence group of measurable functions in several variables. Zbl 1127.28001Vershik, A. M.; Haböck, U. 1 2006 Universality and randomness for the graphs and metric spaces. 2nd printing. Zbl 1134.05098Vershik, A. M. 1 2006 A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502Vershik, A. M.; Okoun’kov, A. Yu. 15 2005 Polymorphisms, Markov processes, and quasi-similarity. Zbl 1115.37002Vershik, A. M. 14 2005 The basic representation of the current group \(O(n,1)^X\) in the \(L^2\) space over the generalized Lebesgue measure. Zbl 1147.22013Graev, M. I.; Vershik, A. M. 7 2005 Geometrical approach to the free solvable groups. Zbl 1104.20034Vershik, A. M.; Dobrynin, S. V. 4 2005 A commutative model of a representation of the group \(O(n, 1)^{X}\) and a generalized Lebesgue measure in the space of distributions. Zbl 1135.22018Graev, M. I.; Vershik, A. M. 4 2005 On the Fourier transform on the infinite symmetric group. Zbl 1078.43002Vershik, A. M.; Tsilevich, N. V. 1 2005 Harmonic analysis on the infinite symmetric group. Zbl 1057.43005Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly 48 2004 Random and universal metric spaces. Zbl 1124.28012Vershik, Anatoly M. 4 2004 Ol’ga Aleksandrovna Ladyzhenskaya (obituary). Zbl 1062.01503Arnol’d, V. I.; Birman, M. Sh.; Vershik, A. M.; et al. 2 2004 Random metric spaces and universality. Zbl 1065.60005Vershik, A. M. 17 2003 Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. Zbl 1060.46056Vershik, A. M.; Tsilevich, N. V. 13 2003 Frobenius-Schur functions (with an appendix by Vladimir Ivanov). Zbl 1051.05077Olshanski, Grigori; Regev, Amitai; Vershik, Anatoly 11 2003 Two lectures on the asymptotic representation theory and statistics of Young diagrams. Zbl 1035.05101Vershik, A. 6 2003 Asymptotics of the uniform measure on simplices, and random compositions and partitions. Zbl 1081.60009Vershik, A. M.; Yakubovich, Yu. V. 5 2003 ...and 184 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,894 Authors 113 Vershik, Anatoliĭ Moiseevich 41 Maslov, Viktor Pavlovich 31 Ol’shanskiĭ, Grigoriĭ Iosifovich 26 Borodin, Alexei 22 Kerov, Sergei V. 22 Neretin, Yuriĭ Aleksandrovich 18 Albeverio, Sergio A. 16 Kaimanovich, Vadim A. 16 Petrov, Fedor Vladimirovich 16 Sachkov, Yuriĭ Leonidovich 15 Tsilevich, Natalia V. 13 Gorin, Vadim 13 Graev, Mark Iosifovich 13 Lytvynov, Eugene W. 12 Bufetov, Aleksandr Igorevich 12 Bufetov, Alekseĭ Igor’evich 12 Erschler, Anna 12 Zatitskii, Pavel B. 11 Grigorchuk, Rostislav Ivanovich 11 Petrov, Leonid 10 Kondrat’yev, Yuriĭ Grygorovych 10 Nazaikinskii, Vladimir E. 10 Peres, Yuval 10 Sakbaev, Vsevolod Zhanovich 10 Solomyak, Boris 10 Woess, Wolfgang 9 Bogolyubov, Nikolaĭ Mikhaĭlovich 9 Fel’shtyn, Alexander 9 Pak, Igor 9 Ryzhikov, Valeriĭ Valentinovich 9 Śniady, Piotr 9 Troitskiĭ, Evgeniĭ Vadimovich 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Granovsky, Boris L. 8 Kabluchko, Zakhar A. 8 Okun’kov, Andreĭ Yur’evich 8 Panova, Greta 8 Rains, Eric M. 8 Sidorov, Nikita A. 8 Tamuz, Omer 7 Agrachev, Andreĭ Aleksandrovich 7 Bogachev, Leonid V. 7 Diaconis, Persi Warren 7 Feldman, Jacob 7 Hartman, Yair 7 Kirillov, Anatol N. 7 Melleray, Julien 7 Minabutdinov, A. R. 7 Myasnikov, Alexei G. 7 Regev, Amitai 7 Strahov, Eugene 7 Ushakov, Alexander S. 7 Yor, Marc 6 Berthé, Valérie 6 Björklund, Michael 6 Bowen, Lewis Phylip 6 Brieussel, Jérémie 6 Daletskii, Alexei 6 de León Rodríguez, Manuel 6 Dudko, Artem 6 Ferenczi, Sébastien 6 Fomin, Sergey Vladimirovich 6 Gnedin, Alexander V. 6 Grigoryan, Suren Arshakovich 6 Hołubowski, Waldemar 6 Hubička, Jan 6 Kapovich, Ilya 6 Mairesse, Jean 6 Nešetřil, Jaroslav 6 Schmidt, Klaus 6 Smorodina, Natal’ya Vasil’evna 6 Warnaar, S. Ole 6 Yakubovich, Yuri V. 5 Assiotis, Theodoros 5 Bárány, Imre 5 Bezuglyi, Sergey I. 5 Frenkel, Igor B. 5 Fulman, Jason E. 5 Goodman, Frederick M. 5 Høegh-Krohn, Raphael J. 5 Hora, Akihito 5 Kalantar, Mehrdad 5 Konečný, Matěj 5 Kosyak, Alexandre V. 5 Kuznetsova, Alla. Yu. 5 Kwaśniewski, Bartosz Kosma 5 Lijoi, Antonio 5 Malyutin, Andrei Valer’evich 5 Marsden, Jerrold Eldon 5 Mathéus, Frédéric 5 Molchanov, Vladimir Fedorovich 5 Najnudel, Joseph 5 Nessonov, Nikolai I. 5 Nikeghbali, Ashkan 5 Nikitin, Pavel P. 5 Petersen, Karl E. 5 Pitman, Jim William 5 Pittel, Boris G. 5 Raeburn, Iain 5 Ram, Arun ...and 1,794 more Authors all top 5 Cited in 349 Serials 140 Journal of Mathematical Sciences (New York) 81 Functional Analysis and its Applications 62 Advances in Mathematics 58 Journal of Functional Analysis 54 The Annals of Probability 44 Transactions of the American Mathematical Society 43 Journal of Algebra 42 Mathematical Notes 40 Israel Journal of Mathematics 34 Journal of Soviet Mathematics 32 Siberian Mathematical Journal 31 Probability Theory and Related Fields 30 Journal of Mathematical Physics 30 Ergodic Theory and Dynamical Systems 29 Communications in Mathematical Physics 25 Proceedings of the American Mathematical Society 22 Advances in Applied Mathematics 22 Russian Journal of Mathematical Physics 19 Journal of Geometry and Physics 19 Annales de l’Institut Fourier 18 Duke Mathematical Journal 18 Topology and its Applications 18 Journal of Dynamical and Control Systems 17 Theoretical and Mathematical Physics 17 Annales de l’Institut Henri Poincaré. 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Mathematics 5 Nuclear Physics. B 5 Reviews in Mathematical Physics 5 The Mathematical Intelligencer 5 Integral Equations and Operator Theory 5 Memoirs of the American Mathematical Society 5 Annals of Pure and Applied Logic 5 Differential Geometry and its Applications 5 Indagationes Mathematicae. New Series 5 SIAM Journal on Optimization 5 Combinatorics, Probability and Computing 5 The Electronic Journal of Combinatorics 4 Advances in Applied Probability 4 Nonlinearity 4 Theory of Probability and its Applications 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of Number Theory 4 Nagoya Mathematical Journal 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Systems & Control Letters 4 Journal of the American Mathematical Society 4 Annales Mathématiques Blaise Pascal 4 Sbornik: Mathematics 4 Transformation Groups 4 Representation Theory 4 Annals of Combinatorics 4 Journal of High Energy Physics 4 Dynamical Systems ...and 249 more Serials all top 5 Cited in 60 Fields 633 Probability theory and stochastic processes (60-XX) 402 Group theory and generalizations (20-XX) 391 Combinatorics (05-XX) 361 Dynamical systems and ergodic theory (37-XX) 233 Topological groups, Lie groups (22-XX) 196 Measure and integration (28-XX) 182 Functional analysis (46-XX) 137 Statistical mechanics, structure of matter (82-XX) 131 Abstract harmonic analysis (43-XX) 127 Differential geometry (53-XX) 108 Number theory (11-XX) 94 Global analysis, analysis on manifolds (58-XX) 92 Quantum theory (81-XX) 76 Operator theory (47-XX) 73 Convex and discrete geometry (52-XX) 69 Computer science (68-XX) 68 General topology (54-XX) 60 Nonassociative rings and algebras (17-XX) 56 Mechanics of particles and systems (70-XX) 54 Partial differential equations (35-XX) 51 Statistics (62-XX) 47 Associative rings and algebras (16-XX) 47 Special functions (33-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 41 Mathematical logic and foundations (03-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 39 Manifolds and cell complexes (57-XX) 29 Operations research, mathematical programming (90-XX) 26 Systems theory; control (93-XX) 25 Numerical analysis (65-XX) 24 Information and communication theory, circuits (94-XX) 21 Algebraic geometry (14-XX) 20 Potential theory (31-XX) 18 History and biography (01-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 18 Geometry (51-XX) 17 Fluid mechanics (76-XX) 16 Functions of a complex variable (30-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Algebraic topology (55-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 9 Category theory; homological algebra (18-XX) 9 Approximations and expansions (41-XX) 8 General and overarching topics; collections (00-XX) 7 Commutative algebra (13-XX) 7 Integral equations (45-XX) 6 Real functions (26-XX) 6 Difference and functional equations (39-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Relativity and gravitational theory (83-XX) 5 \(K\)-theory (19-XX) 5 Integral transforms, operational calculus (44-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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