Edit Profile 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, Anatolii Moiseevich; 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 Documents Indexed: 414 Publications since 1958, including 28 Books Biographic References: 3 Publications all top 5 Co-Authors 161 single-authored 25 Graev, Mark Iosifovich 23 Tsilevich, Natalia V. 19 Kerov, Sergei V. 14 Gel’fand, Israil’ Moiseevich 12 Gershkovich, V. Ya. 9 Ladyzhenskaya, Ol’ga Aleksandrovna 8 Sinaĭ, Yakov Grigor’evich 7 Novikov, Sergeĭ Petrovich 7 Petrov, Fedor Vladimirovich 7 Zatitskii, Pavel B. 6 Malyutin, Andrei Valer’evich 6 Ol’shanskiĭ, Grigoriĭ Iosifovich 5 Faddeev, Lyudvig Dmitrievich 5 Okun’kov, Andreĭ Yur’evich 5 Viro, Oleg Ya. 5 Yakubovich, Yuri V. 4 Arnol’d, Vladimir Igorevich 4 Barvinok, Alexander I. 4 Gindikin, Simon Grigorevich 4 Lando, Sergei K. 4 Nessonov, Nikolai I. 4 Saveliev, Mikhail V. 4 Shmidt, A. A. 4 Sidorov, Nikita A. 4 Solomyak, Mikhaĭl Zakharovich 4 Sosinskiĭ, Alekseĭ Bronislavovich 4 Vasil’ev, N. N. 3 Anosov, Dmitriĭ Viktorovich 3 Birman, Mikhail Shlëmovich 3 Bukhshtaber, Viktor Matveevich 3 Chernyakov, A. G. 3 Dobrushin, Roland Lvovich 3 Evdokimov, Sergeĭ Alekseevich 3 Fuchs, Dmitry Borisovich 3 Khavin, Viktor Petrovich 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 Mnëv, Nikolai Evgen’evich 3 Molchanov, Vladimir Fedorovich 3 Nechaev, Sergei K. 3 Neretin, Yuriĭ Aleksandrovich 3 Nikitin, Pavel P. 3 Ponomarenko, Ilya Nikolaevich 3 Shubin, Mikhail Aleksandrovich 3 Sporyshev, P. V. 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 Buslaev, Vladimir Savel’evich 2 Chmutov, Sergei V. 2 Davydov, Yu. A. 2 Ermakov, Sergeĭ Mikhaĭlovich 2 Faddeev, Dmitriĭ Konstantinovich 2 Fëdorov, A. L. 2 Gribov, A. B. 2 Haböck, Ulrich 2 Ibragimov, Il’dar Abdullovich 2 Ismagilov, Rais Sal’manovich 2 Karev, Maksim V. 2 Karpushev, S. I. 2 Khovanskiĭ, Askold Georgievich 2 Kolmogorov, Andreĭ Nikolaevich 2 Krasil’shchik, Joseph 2 Krichever, Igor’ Moiseevich 2 Kuhn, Maria Gabriella 2 Laptev, Ari 2 Makarov, Boris M. 2 Malozemov, Vasily Nikolaevich 2 Malyshev, Vadim Aleksandrovich 2 Marchenko, Vladimir Aleksandrovich 2 Melleray, Julien 2 Mysovskikh, Ivan Petrovich 2 2 Pevny, Aleksandr Borisovich 2 Pliss, Viktor Aleksandrovich 2 Regev, Amitai 2 Reshetikhin, Nikolai Yu. 2 Retakh, Vladimir Solomonovich 2 Scherbak, Inna 2 Schmidt, Klaus 2 Smolitskiĭ, Kh. L. 2 Stepanov, Evgenii Olegovich 2 Stepin, Anatolii Mikhailovich 2 Sudakov, Vladimir Nikolaevich 2 Suslina, Tat’yana Aleksandrovna 2 Svanidze, N. V. 2 Taimanov, Iskander Asanovich 2 Temel’t, V. 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Tsirelson, Boris 2 Ural’tseva, Nina Nikolaevna 2 Varchenko, Alexander Nikolaevich 2 Veselov, Alexander Petrovich ...and 176 more Co-Authors all top 5 Serials 50 Journal of Mathematical Sciences (New York) 37 Russian Mathematical Surveys 34 Functional Analysis and its Applications 21 Soviet Mathematics. Doklady 17 Zapiski Nauchnykh Seminarov POMI 15 Journal of Soviet Mathematics 9 St. Petersburg Mathematical Journal 9 Moscow Mathematical Journal 8 Theory of Probability and its Applications 8 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 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 Doklady 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 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 98 Group theory and generalizations (20-XX) 78 Measure and integration (28-XX) 75 Combinatorics (05-XX) 75 Dynamical systems and ergodic theory (37-XX) 60 History and biography (01-XX) 59 Probability theory and stochastic processes (60-XX) 57 Topological groups, Lie groups (22-XX) 47 General and overarching topics; collections (00-XX) 44 Functional analysis (46-XX) 28 Number theory (11-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Operations research, mathematical programming (90-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Operator theory (47-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) 17 General topology (54-XX) 15 Associative rings and algebras (16-XX) 15 Abstract harmonic analysis (43-XX) 14 Convex and discrete geometry (52-XX) 10 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) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 \(K\)-theory (19-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-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 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) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 278 Publications have been cited 2,950 times in 1,879 Documents Cited by ▼ Year ▼ Random walks on discrete groups: Boundary and entropy. Zbl 0641.60009Kaimanovich, V. A.; Vershik, A. M. 200 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. 127 1977 Statistical mechanics of combinatorial partitions, and their limit shapes. Zbl 0868.05004Vershik, A. M. 107 1996 Nonholonomic dynamical systems, geometry of distributions and variational problems. Zbl 0797.58007Vershik, A. M.; Gershkovich, V. Ya. 88 1987 A new approach to representation theory of symmetric groups. Zbl 0959.20014Okounkov, Andrei; Vershik, Anatoly 82 1996 Characters and factor representations of the infinite symmetric group. Zbl 0534.20008Vershik, A. M.; Kerov, S. V. 69 1981 Asymptotic theory of characters of the symmetric group. Zbl 0507.20006Vershik, A. M.; Kerov, S. V. 67 1982 Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group. Zbl 0592.20015Vershik, A. M.; Kerov, S. V. 52 1985 Harmonic analysis on the infinite symmetric group. Zbl 1057.43005Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly 47 2004 Characters and factor representations of the infinite unitary group. Zbl 0524.22017Vershik, A. M.; Kerov, S. V. 45 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. 41 2000 Harmonic analysis on the infinite symmetric group. A deformation of the regular representation. Zbl 0796.43005Kerov, Serguei; Olshanski, Grigori; Vershik, Anatoli 40 1993 Limit measures arising in the asymptotic theory of symmetric groups. I. Zbl 0375.60007Vershik, A. M.; Shmidt, A. A. 35 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. 30 2006 Decreasing sequences of measurable partitions and their applications. Zbl 0238.28011Vershik, A. M. 30 1970 Uniform algebraic approximation of shift and multiplication operators. Zbl 0484.47005Vershik, A. M. 29 1981 Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016Ol’shanskij, Grigorij; Vershik, Anatolij 27 1996 The characters of the infinite symmetric group and probability properties of the Robinson-Schensted-Knuth algorithm. Zbl 0584.05004Kerov, Sergei V.; Vershik, Anatol M. 27 1986 Totally nonfree actions and the infinite symmetric group. Zbl 1294.37004Vershik, A. M. 27 2012 Description of invariant measures for the actions of some infinite- dimensional groups. Zbl 0324.28014Vershik, A. M. 26 1974 Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077Kenyon, Richard; Vershik, Anatoly 26 1998 Nonfree actions of countable groups and their characters. Zbl 1279.37004Vershik, A. M. 25 2011 Long history of the Monge-Kantorovich transportation problem. Zbl 1284.01041Vershik, A. M. 25 2013 Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems. Zbl 0916.28012Sidorov, Nikita; Vershik, Anatoly 25 1998 Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles. Zbl 0734.49023Vershik, A. M.; Granichina, O. A. 24 1991 Differential geometry and Lagrangian mechanics with constraints. Zbl 0243.70014Vershik, A. M.; Faddeev, L. D. 22 1972 The universal Urysohn space, Gromov metric triples and random metrics on the natural numbers. Zbl 1005.53036Vershik, A. M. 22 1998 A theorem on the Markov periodic approximation in ergodic theory. Zbl 0559.47006Vershik, A. M. 22 1985 \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005Okounkov, Andrei; Vershik, Anatoly 22 1998 Large deviations for integer partitions. Zbl 0972.60006Dembo, A.; Vershik, A.; Zeitouni, O. 22 2000 Some isometry groups of the Urysohn space. Zbl 1108.54027Cameron, P. J.; Vershik, A. M. 21 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. 21 1973 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 The limit shape of convex lattice polygons and related topics. Zbl 0848.52004Vershik, A. M. 20 1994 The Kantorovich metric: the initial history and little-known applications. Zbl 1090.28009Vershik, A. M. 20 2006 Multivalued mappings with invariant measure (polymorphisms) and Markov operators. Zbl 0408.28014Vershik, A. M. 19 1977 The word and geodesic problems in free solvable groups. Zbl 1207.20026Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A. 19 2010 Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor. Zbl 0623.46036Vershik, A. M.; Kerov, S. V. 18 1987 Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016Melleray, J.; Petrov, F. V.; Vershik, A. M. 18 2008 Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem. Zbl 0791.52011Vershik, A. M.; Sporyshev, P. V. 18 1992 Does there exist a Lebesgue measure in the infinite-dimensional space? Zbl 1165.28003Vershik, A. M. 17 2007 Amenability and approximation of infinite groups. Zbl 0533.22007Vershik, A. 17 1982 On the number of convex lattice polytopes. Zbl 0772.52010Bárány, I.; Vershik, A. M. 17 1992 Random metric spaces and universality. Zbl 1065.60005Vershik, A. M. 17 2003 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. 17 1990 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 On an infinite-dimensional group over a finite field. Zbl 1089.22006Vershik, A. M.; Kerov, S. V. 16 1998 The theorem about the periodic Markov approximation in ergodic theory. Zbl 0505.47006Vershik, A. M. 16 1982 The theory of decreasing sequences of measurable partitions. Zbl 0853.28009Vershik, A. M. 16 1994 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 Some characteristic properties of Gaussian stochastic processes. Zbl 0141.15203Vershik, A. M. 16 1965 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. 15 1977 A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502Vershik, A. M.; Okoun’kov, A. Yu. 15 2005 Nonholonomic problems and the theory of distributions. Zbl 0666.58004Vershik, A. M.; Gershkovich, V. Ya. 15 1988 The problem of describing central measures on the path spaces of graded graphs. Zbl 1370.37005Vershik, A. M. 15 2014 Asymptotic combinatorics and algebraic analysis. Zbl 0843.05003Vershik, Anatoly M. 14 1995 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 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 Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms. Zbl 0949.37023Sidorov, N.; Vershik, A. 14 1998 Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V. 14 2013 Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space. Zbl 1160.54020Vershik, A. M. 13 2008 Equipped graded graphs, projective limits of simplices, and their boundaries. Zbl 1323.05127Vershik, A. M. 13 2015 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 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 Intrinsic metric on graded graphs, standardness, and invariant measures. Zbl 1336.28014Vershik, A. M. 13 2014 Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly 12 2006 Cohomology of groups in unitary representations, the neighborhood of the identity, and conditionally positive definite functions. Zbl 0528.43005Vershik, A. M.; Karpushev, S. I. 12 1984 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 Classification of measurable functions of several variables and invariantly distributed random matrices. Zbl 1025.28010Vershik, A. M. 12 2002 Nonholonomic manifolds and nilpotent analysis. Zbl 0693.53006Gershkovich, V.; Vershik, A. 12 1988 Dynamics of metrics in measure spaces and their asymptotic invariants. Zbl 1203.37020Vershik, A. M. 12 2010 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 Many-valued measure-preserving mappings (polymorphisms) and Markovian operators. Zbl 0517.28016Vershik, A. M. 10 1983 Finite traces and representations of the group of infinite matrices over a finite field. Zbl 1286.22004Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly 10 2014 Representations of the group of functions taking values in a compact Lie group. Zbl 0449.22019Gelfand, I. M.; Graev, M. I.; Vershik, A. M. 10 1980 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 Local stationary algebras. Zbl 0810.16015Vershik, A. M. 10 1991 Probability measures in infinite-dimensional spaces. Zbl 0248.60007Vershik, A. M.; Sudakov, V. N. 10 1969 Frobenius-Schur functions (with an appendix by Vladimir Ivanov). Zbl 1051.05077Olshanski, Grigori; Regev, Amitai; Vershik, Anatoly 10 2003 Random walks on braid groups: Brownian bridges, complexity and statistics. Zbl 0901.60010Nechaev, S. K.; Grosberg, A. Yu.; Vershik, A. M. 10 1996 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 Theorem on lacunary isomorphisms of monotonic sequences of partitions. Zbl 0186.20203Vershik, A. M. 10 1968 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. 9 1983 Product of commuting spectral measures need not be countably additive. Zbl 0423.28008Birman, M. Sh.; Vershik, A. M.; Solomyak, M. Z. 9 1979 Examples of nonlinear continuous tensor products of measure spaces and non-Fock factorizations. Zbl 0912.46022Tsirelson, B. S.; Vershik, A. M. 9 1998 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 The Pascal automorphism has a continuous spectrum. Zbl 1271.37007Vershik, A. M. 9 2011 Characters, factor representations and K-functor of the infinite symmetric group. Zbl 0545.22001Kerov, S. V.; Vershik, A. M. 8 1984 Characters and realizations of representations of an infinite-dimensional Hecke algebra, and knot invariants. Zbl 0716.20008Vershik, A. M.; Kerov, S. V. 8 1989 Convex rearrangements of random walks. (Réarrangements convexes des marches aléatoires.) Zbl 0903.60006Davydov, Yu.; Vershik, A. M. 8 1998 Asymptotics of the partition of the cube into Weyl simplices and an encoding of a Bernoulli scheme. Zbl 1427.37033Vershik, A. M. 2 2019 Three theorems on the uniqueness of the Plancherel measure from different viewpoints. Zbl 1436.20020Vershik, A. M. 2 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 07000556Vershik, A. M.; Malyutin, A. V. 1 2018 The theory of filtrations of subalgebras, standardness, and independence. Zbl 1370.05220Vershik, A. M. 8 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. 2 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 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. 13 2015 Laplace operators on the cone of Radon measures. Zbl 1327.60105Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly 6 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 10 2014 Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007Tsilevich, N. V.; Vershik, A. M. 4 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 Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)). Zbl 1317.22011Vershik, A. M.; Graev, M. I. 3 2014 Virtual continuity of measurable functions and its applications. Zbl 1320.28003Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V. 2 2014 Two ways to define compatible metrics on the simplex of measures. Zbl 1319.46024Vershik, A. M. 1 2014 Nonsingular transformations of symmetric Lévy processes. Zbl 1317.60057Vershik, A. M.; Smorodina, N. V. 1 2014 Long history of the Monge-Kantorovich transportation problem. Zbl 1284.01041Vershik, A. M. 25 2013 Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V. 14 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. 2 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. 27 2012 Scaling entropy and automorphisms with pure point spectrum. Zbl 1251.37009Vershik, A. M. 6 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. 19 2010 Dynamics of metrics in measure spaces and their asymptotic invariants. Zbl 1203.37020Vershik, A. M. 12 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. 13 2008 Scaled entropy of filtrations of \(\sigma\)-fields. Zbl 1161.28005Vershik, A. M.; Gorbulsky, A. D. 7 2008 Algebraic polymorphisms. Zbl 1154.37304Schmidt, Klaus; Vershik, Anatoly 6 2008 Integral models of representations of current groups. Zbl 1162.22019Vershik, A. M.; Graev, M. I. 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 The local stationary presentation of the alternating groups and the normal form. Zbl 1150.20001Vershik, A.; Vsemirnov, M. 3 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 Integral models of unitary representations of current groups with values in semidirect products. Zbl 1162.22020Vershik, A. M.; Graev, M. I. 2 2008 Boundaries of braid groups and the Markov-Ivanovsky normal form. Zbl 1155.60033Vershik, A. M.; Malyutin, A. V. 1 2008 Representation theory, dynamical systems, combinatorial methods. Part 16. (Теория представлений, динамические системы, комбинаторные методы. 16.) Zbl 1170.49302Vershik, A. M.; Tsilevich, N. V. 1 2008 Does there exist a Lebesgue measure in the infinite-dimensional space? Zbl 1165.28003Vershik, A. M. 17 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 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 1136.49301Vershik, A. M.; Tsilevich, N. V. 1 2007 Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010Vershik, A. M.; Tsilevich, N. V. 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. 30 2006 Some isometry groups of the Urysohn space. Zbl 1108.54027Cameron, P. J.; Vershik, A. M. 21 2006 The Kantorovich metric: the initial history and little-known applications. Zbl 1090.28009Vershik, A. M. 20 2006 Twisted Burnside theorem for type \(\text{II}_1\) groups: an example. Zbl 1143.20026Fel’shtyn, Alexander; Troitsky, Evgenij; Vershik, Anatoly 12 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 Fluctuations of the maximal particle energy of the quantum ideal gas and random partitions. Zbl 1113.82010Vershik, A.; Yakubovich, Yu. 5 2006 On different models of representations of the infinite symmetric group. Zbl 1149.20013Tsilevich, N. V.; Vershik, A. M. 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 47 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 10 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. 4 2003 Canonical semigroups of states and cocycles for the group of automorphisms of a homogeneous tree. Zbl 1031.43004Kuhn, G.; Vershik, A. 3 2003 Kolmogorov’s example (A survey of actions of infinite-dimensional groups with an invariant probability measure). Zbl 1055.37006Vershik, A. M. 2 2003 Strange factor representations of type II\(_1\) and pairs of dual dynamical systems. Zbl 1059.46041Vershik, A. M. 1 2003 Asymptotic combinatorics with applications to mathematical physics. A European mathematical summer school held at the Euler Institute, St. Petersburg, Russia, July 9–20, 2001. Zbl 1014.00010Vershik, A. M. 1 2003 ...and 178 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,781 Authors 109 Vershik, Anatoliĭ Moiseevich 41 Maslov, Viktor Pavlovich 30 Ol’shanskiĭ, Grigoriĭ Iosifovich 26 Borodin, Alexei 22 Kerov, Sergei V. 22 Neretin, Yuriĭ Aleksandrovich 17 Albeverio, Sergio A. 16 Kaimanovich, Vadim A. 16 Petrov, Fedor Vladimirovich 13 Graev, Mark Iosifovich 13 Lytvynov, Eugene W. 13 Tsilevich, Natalia V. 12 Bufetov, Aleksandr Igorevich 12 Bufetov, Alekseĭ Igor’evich 12 Gorin, Vadim 12 Zatitskii, Pavel B. 11 Erschler, Anna 11 Grigorchuk, Rostislav Ivanovich 11 Sachkov, Yuriĭ Leonidovich 10 Kondrat’yev, Yuriĭ Grygorovych 10 Nazaikinskii, Vladimir E. 10 Peres, Yuval 10 Petrov, Leonid 10 Solomyak, Boris 9 Ryzhikov, Valeriĭ Valentinovich 9 Śniady, Piotr 9 Woess, Wolfgang 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Bogolyubov, Nikolaĭ Mikhaĭlovich 8 Fel’shtyn, Alexander 8 Okun’kov, Andreĭ Yur’evich 8 Pak, Igor 8 Sidorov, Nikita A. 8 Tamuz, Omer 8 Troitskiĭ, Evgeniĭ Vadimovich 7 Agrachev, Andreĭ Aleksandrovich 7 Bogachev, Leonid V. 7 Diaconis, Persi Warren 7 Feldman, Jacob 7 Granovsky, Boris L. 7 Hartman, Yair 7 Kabluchko, Zakhar A. 7 Kirillov, Anatol N. 7 Minabutdinov, A. R. 7 Myasnikov, Alexei G. 7 Panova, Greta 7 Rains, Eric M. 7 Regev, Amitai 7 Sakbaev, Vsevolod Zhanovich 7 Strahov, Eugene 7 Ushakov, Alexander S. 7 Yor, Marc 6 Berthé, Valérie 6 Björklund, Michael 6 Bowen, Lewis Phylip 6 Daletskii, Alexei 6 Dudko, Artem 6 Ferenczi, Sébastien 6 Fomin, Sergey Vladimirovich 6 Gnedin, Alexander V. 6 Grigoryan, Suren Arshakovich 6 Hołubowski, Waldemar 6 Kapovich, Ilya 6 Mairesse, Jean 6 Melleray, Julien 6 Schmidt, Klaus 6 Smorodina, Natal’ya Vasil’evna 6 Yakubovich, Yuri V. 5 Bárány, Imre 5 Brieussel, Jérémie 5 de León Rodríguez, Manuel 5 Fulman, Jason E. 5 Goodman, Frederick M. 5 Høegh-Krohn, Raphael J. 5 Hubička, Jan 5 Kalantar, Mehrdad 5 Konečný, Matěj 5 Kosyak, Alexandre V. 5 Kuznetsova, Alla. Yu. 5 Lijoi, Antonio 5 Malyutin, Andrei Valer’evich 5 Marsden, Jerrold Eldon 5 Mathéus, Frédéric 5 Molchanov, Vladimir Fedorovich 5 Nešetřil, Jaroslav 5 Nessonov, Nikolai I. 5 Nikitin, Pavel P. 5 Petersen, Karl E. 5 Pitman, Jim William 5 Pittel, Boris G. 5 Raeburn, Iain 5 Ram, Arun 5 Siegel, Anne 5 Sinaĭ, Yakov Grigor’evich 5 Sirvent, Víctor F. 5 Stammeier, Nicolai 5 Thuswaldner, Jörg Maximilian 5 Tsirelson, Boris 5 Varjú, Péter Pál 5 Veselov, Alexander Petrovich ...and 1,681 more Authors all top 5 Cited in 333 Serials 140 Journal of Mathematical Sciences (New York) 79 Functional Analysis and its Applications 57 Advances in Mathematics 57 Journal of Functional Analysis 51 The Annals of Probability 43 Mathematical Notes 43 Transactions of the American Mathematical Society 41 Journal of Algebra 39 Israel Journal of Mathematics 34 Journal of Soviet Mathematics 30 Journal of Mathematical Physics 30 Siberian Mathematical Journal 29 Ergodic Theory and Dynamical Systems 29 Probability Theory and Related Fields 27 Communications in Mathematical Physics 25 Proceedings of the American Mathematical Society 22 Advances in Applied Mathematics 21 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 16 Journal of Statistical Physics 16 Theoretical and Mathematical Physics 16 Annales de l’Institut Henri Poincaré. 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Mathematics 6 Discrete and Continuous Dynamical Systems 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 Doklady Mathematics 4 Advances in Applied Probability 4 Nonlinearity 4 Theory of Probability and its Applications 4 Journal of Multivariate Analysis 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 Sbornik: Mathematics 4 Representation Theory 4 Annals of Combinatorics 4 Journal of High Energy Physics 4 Dynamical Systems 4 Journal of Modern Dynamics 4 Carpathian Mathematical Publications 4 Arnold Mathematical Journal 3 Archive for Rational Mechanics and Analysis ...and 233 more Serials all top 5 Cited in 60 Fields 596 Probability theory and stochastic processes (60-XX) 383 Group theory and generalizations (20-XX) 374 Combinatorics (05-XX) 342 Dynamical systems and ergodic theory (37-XX) 227 Topological groups, Lie groups (22-XX) 190 Measure and integration (28-XX) 170 Functional analysis (46-XX) 130 Statistical mechanics, structure of matter (82-XX) 129 Abstract harmonic analysis (43-XX) 117 Differential geometry (53-XX) 104 Number theory (11-XX) 94 Global analysis, analysis on manifolds (58-XX) 87 Quantum theory (81-XX) 70 Operator theory (47-XX) 70 Convex and discrete geometry (52-XX) 68 Computer science (68-XX) 66 General topology (54-XX) 54 Nonassociative rings and algebras (17-XX) 54 Mechanics of particles and systems (70-XX) 50 Partial differential equations (35-XX) 49 Statistics (62-XX) 45 Associative rings and algebras (16-XX) 44 Special functions (33-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 40 Mathematical logic and foundations (03-XX) 38 Manifolds and cell complexes (57-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 26 Operations research, mathematical programming (90-XX) 24 Systems theory; control (93-XX) 23 Numerical analysis (65-XX) 22 Algebraic geometry (14-XX) 22 Information and communication theory, circuits (94-XX) 20 Potential theory (31-XX) 17 History and biography (01-XX) 17 Geometry (51-XX) 17 Fluid mechanics (76-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Algebraic topology (55-XX) 14 Functions of a complex variable (30-XX) 14 Harmonic analysis on Euclidean spaces (42-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 Approximations and expansions (41-XX) 8 Category theory; homological algebra (18-XX) 7 General and overarching topics; collections (00-XX) 7 Relativity and gravitational theory (83-XX) 6 Commutative algebra (13-XX) 6 Real functions (26-XX) 6 Difference and functional equations (39-XX) 6 Integral equations (45-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 \(K\)-theory (19-XX) 5 Integral transforms, operational calculus (44-XX) 3 General algebraic systems (08-XX) 2 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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