Edit Profile (opens in new tab) Ol’shanskiĭ, Grigoriĭ Iosifovich Co-Author Distance Author ID: olshanskii.grigorii-iosifovich Published as: Olshanski, Grigori; Ol’shanskij, G. I.; Ol’shanskiĭ, G. I.; Olshanski, G. I.; Olshanski, G.; Ol’shanskii, G. I.; Olshanskii, G. I.; Ol’shanskij, G.; Ol’shanskij, Grigorij; Olshanskiĭ, Grigoriĭ; Olshanskiĭ, Grigori; Ol’sanskij, G. I. more...less Homepage: http://www.iitp.ru/en/userpages/88/ External Links: MGP · Math-Net.Ru Documents Indexed: 142 Publications since 1969, including 1 Book and 6 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 47 Co-Authors with 66 Joint Publications 1,915 Co-Co-Authors all top 5 Co-Authors 76 single-authored 25 Borodin, Alexei 8 Okun’kov, Andreĭ Yur’evich 7 Vershik, Anatoliĭ Moiseevich 5 Gnedin, Alexander V. 4 Cuenca, Cesar 4 Kerov, Sergei V. 4 Neretin, Yuriĭ Aleksandrovich 3 Molev, Alexander I. 3 Nazarov, Maxim Leonidovich 3 Regev, Amitai 2 Gorin, Vadim 2 Kirillov, Alexandre Aleksandrovich 2 Osinenko, A. A. 2 Safonkin, Nikita 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Bufetov, Aleksandr Igorevich 1 Bufetov, Alekseĭ Igor’evich 1 Bugaenko, V. O. 1 Bukhshtaber, Viktor Matveevich 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Sergey Vladimirovich 1 Gindikin, Simon Grigorevich 1 Gordin, Mikhail Iosifovich 1 Gorin, V. E. 1 Ibragimov, Il’dar Abdullovich 1 Ilyashenko, Yulij Sergeevich 1 Ismagilov, Rais Sal’manovich 1 Kaimanovich, Vadim A. 1 Karabegov, Alexander V. 1 Lando, Sergei K. 1 Lodkin, A. A. 1 Lytvynov, Eugene W. 1 Minlos, Robert Adol’fovich 1 Molchanov, Vladimir Fedorovich 1 Nessonov, Nikolai I. 1 Novikov, Sergeĭ Petrovich 1 Petrov, Fedor Vladimirovich 1 Popov, Vladimir Leonidovich 1 Ryzhikov, Valeriĭ Valentinovich 1 Shkalikov, Andreĭ Andreevich 1 Shvartsman, O. V. 1 Sinaĭ, Yakov Grigor’evich 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Strahov, Eugene 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Tsfasman, Michael A. 1 Tsilevich, Natalia V. all top 5 Serials 20 Functional Analysis and its Applications 7 Russian Mathematical Surveys 6 Communications in Mathematical Physics 6 IMRN. International Mathematics Research Notices 5 Advances in Mathematics 5 Soviet Mathematics. Doklady 5 Journal of Mathematical Sciences (New York) 5 Moscow Mathematical Journal 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Funktsional’nyĭ Analiz i ego Prilozheniya 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Functional Analysis 3 Journal of Soviet Mathematics 3 The Electronic Journal of Combinatorics 3 Journal of Lie Theory 2 Letters in Mathematical Physics 2 Journal of Algebra 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 Selecta Mathematica. New Series 2 Mathematical Research Letters 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Studia Mathematica 1 Journal of Geometry and Physics 1 The Annals of Probability 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 European Journal of Combinatorics 1 Journal of the American Mathematical Society 1 Leningrad Mathematical Journal 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Mathematics of the USSR, Sbornik 1 St. Petersburg Mathematical Journal 1 Electronic Journal of Probability 1 Séminaire Lotharingien de Combinatoire 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Cambridge Studies in Advanced Mathematics 1 Translations. Series 2. American Mathematical Society all top 5 Fields 57 Topological groups, Lie groups (22-XX) 52 Probability theory and stochastic processes (60-XX) 34 Combinatorics (05-XX) 29 Group theory and generalizations (20-XX) 25 Abstract harmonic analysis (43-XX) 20 Special functions (33-XX) 15 Nonassociative rings and algebras (17-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 History and biography (01-XX) 4 Associative rings and algebras (16-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,209 times in 1,065 Documents Cited by ▼ Year ▼ Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061 Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori 163 2000 Yangians and classical Lie algebras. Zbl 0876.17014 Molev, A.; Nazarov, M.; Ol’shanskij, G. 106 1996 Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013 Okounkov, A.; Olshanski, G. 92 1997 The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107 Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori 73 1998 Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003 Borodin, Alexei; Olshanski, Grigori 70 2005 Kerov’s central limit theorem for the Plancherel measure on Young diagrams. Zbl 1016.05073 Ivanov, Vladimir; Olshanski, Grigori 63 2002 Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049 Borodin, Alexei; Olshanski, Grigori 58 2000 The problem of harmonic analysis on the infinite-dimensional unitary group. Zbl 1036.43002 Olshanski, Grigori 54 2003 Harmonic analysis on the infinite symmetric group. Zbl 1057.43005 Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly 52 2004 Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004 Okounkov, Andrei; Olshanski, Grigori 50 1998 Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series. Zbl 0503.22011 Ol’shanskij, G. I. 47 1982 Point processes and the infinite symmetric group. Zbl 1044.20501 Borodin, Alexei; Olshanski, Grigori 47 1998 Infinite random matrices and ergodic measures. Zbl 0987.60020 Borodin, Alexei; Olshanski, Grigori 44 2001 Harmonic analysis on the infinite symmetric group. A deformation of the regular representation. Zbl 0796.43005 Kerov, Serguei; Olshanski, Grigori; Vershik, Anatoli 44 1993 Polynomial functions on the set of Young diagrams. Zbl 0830.20028 Kerov, Serguei; Olshanski, Grigori 44 1994 Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008 Okounkov, Andrei; Olshanski, Grigori 43 1998 Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016 Ol’shanskij, Grigorij; Vershik, Anatolij 41 1996 The ASEP and determinantal point processes. Zbl 1369.60031 Borodin, Alexei; Olshanski, Grigori 33 2017 Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036 Borodin, Alexei; Olshanski, Grigori 31 2009 The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131 Borodin, Alexei; Olshanski, Grigori 31 2012 \(q\)-exchangeability via quasi-invariance. Zbl 1204.60029 Gnedin, Alexander; Olshanski, Grigori 31 2010 Unitary representations of (G,K)-pairs connected with the infinite symmetric group S(\(\infty)\). Zbl 0731.20009 Ol’shanskij, G. I. 30 1990 Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra. Zbl 0766.17017 Ol’shanskij, G. I. 30 1992 Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149 Borodin, Alexei; Olshanski, Grigori 30 2012 Markov processes on partitions. Zbl 1105.60052 Borodin, Alexei; Olshanski, Grigori 28 2006 Random partitions and the gamma kernel. Zbl 1128.60301 Borodin, Alexei; Olshanski, Grigori 28 2005 \(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005 Borodin, Alexei; Olshanski, Grigori 27 2005 Bethe subalgebras in twisted Yangians. Zbl 0876.17015 Nazarov, Maxim; Olshanski, Grigori 27 1996 An introduction to harmonic analysis on the infinite symmetric group. Zbl 1035.05100 Olshanski, Grigori 27 2003 Asymptotics of Plancherel-type random partitions. Zbl 1117.60051 Borodin, Alexei; Olshanski, Grigori 26 2007 Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082 Borodin, Alexei; Olshanski, Grigori 25 2000 Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008 Okounkov, Andrei; Olshanski, Grigori 24 2006 Coherent permutations with descent statistic and the boundary problem for the graph of zigzag diagrams. Zbl 1102.05001 Gnedin, Alexander; Olshanski, Grigori 24 2006 Representations of the infinite symmetric group. Zbl 1364.20001 Borodin, Alexei; Olshanski, Grigori 24 2016 \(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013 Borodin, Alexei; Olshanski, Grigori 22 2001 The two-sided infinite extension of the Mallows model for random permutations. Zbl 1242.60010 Gnedin, Alexander; Olshanski, Grigori 22 2012 Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041 Borodin, Alexei; Olshanski, Grigori 21 2006 Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians. Zbl 0739.22015 Ol’shanskij, G. I. 21 1991 The Young bouquet and its boundary. Zbl 1320.05137 Borodin, Alexei; Olshanski, Grigori 20 2013 Convex cones in symmetric Lie algebras, Lie semigroups and invariant causal (order) structures on pseudo-Riemannian symmetric spaces. Zbl 0512.22012 Ol’shanskij, G. I. 19 1982 The quasi-invariance property for the gamma kernel determinantal measure. Zbl 1218.60004 Olshanski, Grigori 18 2011 Extension of the algebra \(\mathcal U(\mathfrak g)\) for infinite-dimensional classical Lie algebras \(\mathfrak g\) and the Yangians \(Y(\mathfrak{gl}(m))\). Zbl 0662.22016 Ol’shanskiĭ, G. I. 17 1988 Unitary representations of infinite dimensional pairs (G,K) and the formalism of R. Howe. Zbl 0724.22020 Ol’shanskij, G. I. 17 1990 Meixner polynomials and random partitions. Zbl 1126.60006 Borodin, Alexei; Olshanski, Grigori 16 2006 Giambelli compatible point processes. Zbl 1108.05093 Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene 15 2006 On semigroups related to infinite-dimensional groups. Zbl 0736.22014 Ol’shanskij, G. I. 15 1991 A quantization of the harmonic analysis on the infinite-dimensional unitary group. Zbl 1328.43007 Gorin, Vadim; Olshanski, Grigori 15 2016 Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees. Zbl 0371.22014 Ol’shanskii, G. I. 14 1977 Representation theory and random point processes. Zbl 1087.15025 Borodin, Alexei; Olshanski, Grigori 13 2005 Frobenius-Schur functions (with an appendix by Vladimir Ivanov). Zbl 1051.05077 Olshanski, Grigori; Regev, Amitai; Vershik, Anatoly 13 2003 Twisted Yangians and infinite-dimensional classical Lie algebras. Zbl 0780.17025 Ol’shanskiĭ, G. I. 13 1992 Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074 Borodin, Alexei; Olshanski, Grigori 13 2013 Plancherel averages: remarks on a paper by Stanley. Zbl 1193.05161 Olshanski, Grigori 12 2010 Anisotropic Young diagrams and infinite-dimensional diffusion processes with the Jack parameter. Zbl 1193.60097 Olshanski, Grigori 12 2010 Shifted Schur functions. Zbl 0894.05053 Okun’kov, A. Yu.; Ol’shanskij, G. 12 1997 Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013 Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori 12 2015 Laguerre and Meixner orthogonal bases in the algebra of symmetric functions. Zbl 1257.33015 Olshanski, Grigori 11 2012 Centralizer construction for twisted Yangians. Zbl 1026.17021 Molev, Alexander; Olshanski, Grigori 11 2000 Difference operators and determinantal point processes. Zbl 1157.60319 Olshanski, Grigori 11 2008 A \(q\)-analogue of de Finetti’s theorem. Zbl 1200.60029 Gnedin, Alexander; Olshanski, Grigori 10 2009 Intertwining operators and complementary series in the class of representations of the full matrix group over a locally compact division algebra that are induced by parabolic subgroups. Zbl 0298.22016 Ol’shanskiĭ, G. I. 10 1974 Point processes related to the infinite symmetric group. Zbl 1087.60041 Olshanski, Grigori 10 2003 Multivariate Jacobi polynomials and the Selberg integral. Zbl 1306.43006 Olshanski, G. I.; Osinenko, A. A. 10 2012 Projections of orbital measures, Gelfand-Tsetlin polytopes, and splines. Zbl 1281.22003 Olshanski, Grigori 10 2013 New ”large” groups of type I. Zbl 0484.22027 Ol’shanskij, G. I. 9 1982 Classification of the irreducible representations of the automorphism groups of Bruhat-Tits trees. Zbl 0359.22010 Ol’shanskiĭ, G. I. 9 1977 Unitary representations of the infinite-dimensional classical groups \(\text{U}(p,\,\infty)\), \(\text{SO}_0(p,\,\infty)\), \(\text{Sp}(p,\,\infty)\), and of the corresponding motion groups. Zbl 0392.22012 Ol’shanskiĭ, G. I. 9 1978 The boundary of Eulerian number triangle. Zbl 1126.60065 Gnedin, Alexander; Olshanski, Grigori 8 2006 Unitary representations of infinite-dimensional pairs \((G,K)\) and the formalism of R. Howe. Zbl 0532.22019 Ol’shanskiĭ, G. I. 8 1983 Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory. Zbl 0545.22020 Ol’shanskiĭ, G. I. 8 1984 Random permutations and related topics. Zbl 1242.05006 Olshanski, Grigori 8 2011 Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg. Zbl 0576.32040 Ol’shanskij, G. I. 8 1983 Complex Lie semigroups, Hardy spaces and the Gel’fand-Gindikin program. Zbl 0789.22011 Ol’shanskij, G. I. 8 1991 Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes. Zbl 1296.33021 Olshanski, G. 8 2011 Interpolation Macdonald polynomials and Cauchy-type identities. Zbl 1401.05301 Olshanski, Grigori 7 2019 Yangians and universal enveloping algebras. Zbl 0691.17005 Ol’shanskij, G. I. 6 1989 Semigroups generated by the Weil representation of the infinite-dimensional symplectic group. (Semi-groupes engendrés par la représentation de Weil du groupe symplectique de dimension infinie.) Zbl 0709.43007 Nazarov, Maxime; Neretin, Yuriĭ; Olshanskiĭ, Grigoriĭ 6 1989 Boundary values of holomorphic functions, singular unitary representations of \(O(p,q)\), and their limits as \(q\to\infty\). Zbl 0909.22025 Neretin, Yu. A.; Ol’shanskii, G. I. 6 1995 The representation ring of the unitary groups and Markov processes of algebraic origin. Zbl 1359.22016 Olshanski, Grigori 6 2016 An analogue of the big \(q\)-Jacobi polynomials in the algebra of symmetric functions. Zbl 1381.33021 Olshanski, G. I. 6 2017 Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups. Zbl 0668.22008 Ol’shanskij, G. I. 5 1988 Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities. Zbl 1075.43009 Ol’shanskij, G. I. 5 2003 Unitary representations of the infinite-dimensional classical groups \(U(p,\infty)\), \(SO_0(p,\infty)\), \(Sp(p,\infty)\) and the corresponding motion groups. Zbl 0411.22017 Ol’shanskij, G. I. 5 1979 Description of unitary representations with highest weight for groups U(p,q). Zbl 0455.22004 Ol’shanskij, G. I. 5 1981 Unitary representations of the group \(SO_ 0(\infty,\infty)\) as limits of unitary representations of the groups \(SO_ 0(n,\infty)\) as n\(\to \infty\). Zbl 0628.22009 Ol’shanskij, G. I. 4 1986 Random Young tableaux and combinatorial identities. Zbl 0982.05110 Olshanski, Grigori; Regev, Amitai 4 2001 On the duality theorem of Frobenius. Zbl 0234.22012 Ol’shanskiĭ, G. I. 4 1969 Extended Gelfand-Tsetlin graph, its \(q\)-boundary, and \(q\)-B-splines. Zbl 1358.43009 Olshanski, G. I. 4 2016 Weil representation and norms of Gaussian operators. Zbl 0848.22017 Ol’shanskij, G. I. 3 1994 Cauchy-Szegö kernels for Hardy spaces on simple Lie groups. Zbl 0860.43008 Olshanski, Grigori 3 1995 Markov dynamics on the dual object to the infinite-dimensional unitary group. Zbl 1388.60134 Olshanski, Grigori 3 2016 Degenerate affine Hecke algebras and centralizer construction for the symmetric groups. Zbl 0990.20005 Molev, A. I.; Olshanski, G. I. 3 2001 Intertwining operators and complementary series in the class of representations of the full matrix group over a locally compact division algebra that are induced by parabolic subgroups. Zbl 0309.22014 Ol’shanskiĭ, G. I. 3 1975 Description of unitary representations with highest weight for the groups U(p,q). Zbl 0439.22019 Ol’shanskij, G. I. 3 1980 Determinantal measures related to big \(q\)-Jacobi polynomials. Zbl 1376.60016 Gorin, V. E.; Olshanski, G. I. 3 2015 Determinantal point processes and fermion quasifree states. Zbl 1464.60045 Olshanski, Grigori 3 2020 Generalized characters of \(U(\infty)\) and inner functions. (Caractères généralisés de \(U(\infty)\) et fonctions intérieures.) Zbl 0790.43009 Olshanskiĭ, Grigori 2 1991 Kirillov’s seminar on representation theory. Zbl 0879.00012 2 1998 The Gelfand-Tsetlin graph and Markov processes. Zbl 1373.05203 Olshanski, Grigori 2 2014 Approximation of Markov dynamics on the dual object of the infinite-dimensional unitary group. Zbl 1343.60112 Olshanski, G. I. 2 2015 The centralizer construction and Yangian-type algebras. Zbl 07787754 Olshanski, Grigori 1 2024 A hierarchy of Palm measures for determinantal point processes with gamma kernels. Zbl 1510.60035 Bufetov, Alexander I.; Olshanski, Grigori 2 2022 Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions. Zbl 1480.05136 Cuenca, Cesar; Olshanski, Grigori 2 2022 Determinantal point processes and fermion quasifree states. Zbl 1464.60045 Olshanski, Grigori 3 2020 Interpolation Macdonald polynomials and Cauchy-type identities. Zbl 1401.05301 Olshanski, Grigori 7 2019 The topological support of the z-measures on the Thoma simplex. Zbl 1422.43001 Olshanski, G. I. 2 2018 The ASEP and determinantal point processes. Zbl 1369.60031 Borodin, Alexei; Olshanski, Grigori 33 2017 An analogue of the big \(q\)-Jacobi polynomials in the algebra of symmetric functions. Zbl 1381.33021 Olshanski, G. I. 6 2017 Representations of the infinite symmetric group. Zbl 1364.20001 Borodin, Alexei; Olshanski, Grigori 24 2016 A quantization of the harmonic analysis on the infinite-dimensional unitary group. Zbl 1328.43007 Gorin, Vadim; Olshanski, Grigori 15 2016 The representation ring of the unitary groups and Markov processes of algebraic origin. Zbl 1359.22016 Olshanski, Grigori 6 2016 Extended Gelfand-Tsetlin graph, its \(q\)-boundary, and \(q\)-B-splines. Zbl 1358.43009 Olshanski, G. I. 4 2016 Markov dynamics on the dual object to the infinite-dimensional unitary group. Zbl 1388.60134 Olshanski, Grigori 3 2016 Multivariate Jacobi polynomials and the Selberg integral. II. Zbl 1347.43004 Olshanski, G.; Osinenko, A. 2 2016 Diffusion processes on the Thoma cone. Zbl 1357.60085 Olshanski, G. I. 1 2016 Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013 Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori 12 2015 Determinantal measures related to big \(q\)-Jacobi polynomials. Zbl 1376.60016 Gorin, V. E.; Olshanski, G. I. 3 2015 Approximation of Markov dynamics on the dual object of the infinite-dimensional unitary group. Zbl 1343.60112 Olshanski, G. I. 2 2015 The Gelfand-Tsetlin graph and Markov processes. Zbl 1373.05203 Olshanski, Grigori 2 2014 The Young bouquet and its boundary. Zbl 1320.05137 Borodin, Alexei; Olshanski, Grigori 20 2013 Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074 Borodin, Alexei; Olshanski, Grigori 13 2013 Projections of orbital measures, Gelfand-Tsetlin polytopes, and splines. Zbl 1281.22003 Olshanski, Grigori 10 2013 The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131 Borodin, Alexei; Olshanski, Grigori 31 2012 Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149 Borodin, Alexei; Olshanski, Grigori 30 2012 The two-sided infinite extension of the Mallows model for random permutations. Zbl 1242.60010 Gnedin, Alexander; Olshanski, Grigori 22 2012 Laguerre and Meixner orthogonal bases in the algebra of symmetric functions. Zbl 1257.33015 Olshanski, Grigori 11 2012 Multivariate Jacobi polynomials and the Selberg integral. Zbl 1306.43006 Olshanski, G. I.; Osinenko, A. A. 10 2012 The quasi-invariance property for the gamma kernel determinantal measure. Zbl 1218.60004 Olshanski, Grigori 18 2011 Random permutations and related topics. Zbl 1242.05006 Olshanski, Grigori 8 2011 Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes. Zbl 1296.33021 Olshanski, G. 8 2011 \(q\)-exchangeability via quasi-invariance. Zbl 1204.60029 Gnedin, Alexander; Olshanski, Grigori 31 2010 Plancherel averages: remarks on a paper by Stanley. Zbl 1193.05161 Olshanski, Grigori 12 2010 Anisotropic Young diagrams and infinite-dimensional diffusion processes with the Jack parameter. Zbl 1193.60097 Olshanski, Grigori 12 2010 Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036 Borodin, Alexei; Olshanski, Grigori 31 2009 A \(q\)-analogue of de Finetti’s theorem. Zbl 1200.60029 Gnedin, Alexander; Olshanski, Grigori 10 2009 Difference operators and determinantal point processes. Zbl 1157.60319 Olshanski, Grigori 11 2008 Asymptotics of Plancherel-type random partitions. Zbl 1117.60051 Borodin, Alexei; Olshanski, Grigori 26 2007 Markov processes on partitions. Zbl 1105.60052 Borodin, Alexei; Olshanski, Grigori 28 2006 Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008 Okounkov, Andrei; Olshanski, Grigori 24 2006 Coherent permutations with descent statistic and the boundary problem for the graph of zigzag diagrams. Zbl 1102.05001 Gnedin, Alexander; Olshanski, Grigori 24 2006 Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041 Borodin, Alexei; Olshanski, Grigori 21 2006 Meixner polynomials and random partitions. Zbl 1126.60006 Borodin, Alexei; Olshanski, Grigori 16 2006 Giambelli compatible point processes. Zbl 1108.05093 Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene 15 2006 The boundary of Eulerian number triangle. Zbl 1126.60065 Gnedin, Alexander; Olshanski, Grigori 8 2006 Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003 Borodin, Alexei; Olshanski, Grigori 70 2005 Random partitions and the gamma kernel. Zbl 1128.60301 Borodin, Alexei; Olshanski, Grigori 28 2005 \(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005 Borodin, Alexei; Olshanski, Grigori 27 2005 Representation theory and random point processes. Zbl 1087.15025 Borodin, Alexei; Olshanski, Grigori 13 2005 Harmonic analysis on the infinite symmetric group. Zbl 1057.43005 Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly 52 2004 The problem of harmonic analysis on the infinite-dimensional unitary group. Zbl 1036.43002 Olshanski, Grigori 54 2003 An introduction to harmonic analysis on the infinite symmetric group. Zbl 1035.05100 Olshanski, Grigori 27 2003 Frobenius-Schur functions (with an appendix by Vladimir Ivanov). Zbl 1051.05077 Olshanski, Grigori; Regev, Amitai; Vershik, Anatoly 13 2003 Point processes related to the infinite symmetric group. Zbl 1087.60041 Olshanski, Grigori 10 2003 Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities. Zbl 1075.43009 Ol’shanskij, G. I. 5 2003 Kerov’s central limit theorem for the Plancherel measure on Young diagrams. Zbl 1016.05073 Ivanov, Vladimir; Olshanski, Grigori 63 2002 Infinite random matrices and ergodic measures. Zbl 0987.60020 Borodin, Alexei; Olshanski, Grigori 44 2001 \(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013 Borodin, Alexei; Olshanski, Grigori 22 2001 Random Young tableaux and combinatorial identities. Zbl 0982.05110 Olshanski, Grigori; Regev, Amitai 4 2001 Degenerate affine Hecke algebras and centralizer construction for the symmetric groups. Zbl 0990.20005 Molev, A. I.; Olshanski, G. I. 3 2001 Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061 Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori 163 2000 Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049 Borodin, Alexei; Olshanski, Grigori 58 2000 Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082 Borodin, Alexei; Olshanski, Grigori 25 2000 Centralizer construction for twisted Yangians. Zbl 1026.17021 Molev, Alexander; Olshanski, Grigori 11 2000 The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107 Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori 73 1998 Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004 Okounkov, Andrei; Olshanski, Grigori 50 1998 Point processes and the infinite symmetric group. Zbl 1044.20501 Borodin, Alexei; Olshanski, Grigori 47 1998 Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008 Okounkov, Andrei; Olshanski, Grigori 43 1998 Kirillov’s seminar on representation theory. Zbl 0879.00012 2 1998 Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013 Okounkov, A.; Olshanski, G. 92 1997 Shifted Schur functions. Zbl 0894.05053 Okun’kov, A. Yu.; Ol’shanskij, G. 12 1997 Generalized symmetrization in enveloping algebras. Zbl 0964.17007 Olshanski, Grigori 1 1997 Yangians and classical Lie algebras. Zbl 0876.17014 Molev, A.; Nazarov, M.; Ol’shanskij, G. 106 1996 Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016 Ol’shanskij, Grigorij; Vershik, Anatolij 41 1996 Bethe subalgebras in twisted Yangians. Zbl 0876.17015 Nazarov, Maxim; Olshanski, Grigori 27 1996 Boundary values of holomorphic functions, singular unitary representations of \(O(p,q)\), and their limits as \(q\to\infty\). Zbl 0909.22025 Neretin, Yu. A.; Ol’shanskii, G. I. 6 1995 Cauchy-Szegö kernels for Hardy spaces on simple Lie groups. Zbl 0860.43008 Olshanski, Grigori 3 1995 Polynomial functions on the set of Young diagrams. Zbl 0830.20028 Kerov, Serguei; Olshanski, Grigori 44 1994 Weil representation and norms of Gaussian operators. Zbl 0848.22017 Ol’shanskij, G. I. 3 1994 Harmonic analysis on the infinite symmetric group. A deformation of the regular representation. Zbl 0796.43005 Kerov, Serguei; Olshanski, Grigori; Vershik, Anatoli 44 1993 Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra. Zbl 0766.17017 Ol’shanskij, G. I. 30 1992 Twisted Yangians and infinite-dimensional classical Lie algebras. Zbl 0780.17025 Ol’shanskiĭ, G. I. 13 1992 Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians. Zbl 0739.22015 Ol’shanskij, G. I. 21 1991 On semigroups related to infinite-dimensional groups. Zbl 0736.22014 Ol’shanskij, G. I. 15 1991 Complex Lie semigroups, Hardy spaces and the Gel’fand-Gindikin program. Zbl 0789.22011 Ol’shanskij, G. I. 8 1991 Generalized characters of \(U(\infty)\) and inner functions. (Caractères généralisés de \(U(\infty)\) et fonctions intérieures.) Zbl 0790.43009 Olshanskiĭ, Grigori 2 1991 Unitary representations of (G,K)-pairs connected with the infinite symmetric group S(\(\infty)\). Zbl 0731.20009 Ol’shanskij, G. I. 30 1990 Unitary representations of infinite dimensional pairs (G,K) and the formalism of R. Howe. Zbl 0724.22020 Ol’shanskij, G. I. 17 1990 Yangians and universal enveloping algebras. Zbl 0691.17005 Ol’shanskij, G. I. 6 1989 Semigroups generated by the Weil representation of the infinite-dimensional symplectic group. (Semi-groupes engendrés par la représentation de Weil du groupe symplectique de dimension infinie.) Zbl 0709.43007 Nazarov, Maxime; Neretin, Yuriĭ; Olshanskiĭ, Grigoriĭ 6 1989 Extension of the algebra \(\mathcal U(\mathfrak g)\) for infinite-dimensional classical Lie algebras \(\mathfrak g\) and the Yangians \(Y(\mathfrak{gl}(m))\). Zbl 0662.22016 Ol’shanskiĭ, G. I. 17 1988 Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups. Zbl 0668.22008 Ol’shanskij, G. I. 5 1988 Yangians and universal enveloping algebras. Zbl 0668.17009 Ol’shanskij, G. I. 1 1987 Unitary representations of the group \(SO_ 0(\infty,\infty)\) as limits of unitary representations of the groups \(SO_ 0(n,\infty)\) as n\(\to \infty\). Zbl 0628.22009 Ol’shanskij, G. I. 4 1986 Unitary representations of the infinite symmetric group: a semigroup approach. Zbl 0605.22005 Ol’shanskij, G. I. 1 1985 Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory. Zbl 0545.22020 Ol’shanskiĭ, G. I. 8 1984 Unitary representations of infinite-dimensional pairs \((G,K)\) and the formalism of R. Howe. Zbl 0532.22019 Ol’shanskiĭ, G. I. 8 1983 Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg. Zbl 0576.32040 Ol’shanskij, G. I. 8 1983 Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series. Zbl 0503.22011 Ol’shanskij, G. I. 47 1982 Convex cones in symmetric Lie algebras, Lie semigroups and invariant causal (order) structures on pseudo-Riemannian symmetric spaces. Zbl 0512.22012 Ol’shanskij, G. I. 19 1982 New ”large” groups of type I. Zbl 0484.22027 Ol’shanskij, G. I. 9 1982 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 893 Authors 59 Borodin, Alexei 49 Ol’shanskiĭ, Grigoriĭ Iosifovich 29 Neretin, Yuriĭ Aleksandrovich 28 Gorin, Vadim 20 Bufetov, Aleksandr Igorevich 20 Molev, Alexander I. 20 Vershik, Anatoliĭ Moiseevich 19 Petrov, Leonid 18 Neeb, Karl-Hermann 17 Assiotis, Theodoros 17 Hilgert, Joachim 17 Ragoucy, Eric 16 Corwin, Ivan Z. 13 Bufetov, Alekseĭ Igor’evich 12 Crampé, Nicolas 12 Qiu, Yanqi 12 Śniady, Piotr 11 Doikou, Anastasia 11 Okun’kov, Andreĭ Yur’evich 10 Cuenca, Cesar 9 Féray, Valentin 9 Forrester, Peter J. 9 Fulman, Jason E. 9 Hofmann, Karl Heinrich 9 Strahov, Eugene 8 Frappat, Luc 8 Guay, Nicolas 8 Kerov, Sergei V. 8 Lassalle, Michel 7 Ferrari, Patrik Lino 7 Gnedin, Alexander V. 7 Najnudel, Joseph 7 Nikeghbali, Ashkan 6 Aggarwal, Amol 6 Betea, Dan 6 Diaconis, Persi Warren 6 Ghosal, Promit 6 Kang, Seok-Jin 6 Lopushanski, Oleh V. 6 Matsumoto, Sho 6 Mironov, Andrei D. 6 Morozov, Alexei Yurievich 6 Nazarov, Maxim Leonidovich 6 Ólafsson, Gestur 6 Orlov, Aleksandr Yu. 6 Ørsted, Bent 6 Rains, Eric M. 6 Rybnikov, Leonid Grigor’evich 6 Sergeev, Aleksandr Nikolaevich 5 Arnaudon, Daniel 5 Blower, Gordon 5 Chicherin, Dmitry 5 Dimitrov, Evgeni I. 5 Gorin, V. E. 5 Grantcharov, Dimitar 5 Han, Guo-Niu 5 Jing, Naihuan 5 Jung, Ji Hye 5 Khoroshkin, Sergey M. 5 Morales, Alejandro Henry 5 Mukhin, Evgeny 5 Panova, Greta 5 Regelskis, Vidas 5 Regev, Amitai 5 Varchenko, Alexander Nikolaevich 5 Veselov, Alexander Petrovich 5 Voit, Michael 5 Warnaar, S. Ole 5 Wheeler, Michael 4 Adler, Mark 4 Brundan, Jonathan 4 Derkachëv, Sergeĭ Èduardovich 4 Dołęga, Maciej 4 Duits, Maurice 4 Feĭgin, Boris L’vovich 4 Hallnäs, Martin A. 4 Kim, Myungho 4 Kuan, Jeffrey 4 Kuhn, Maria Gabriella 4 Kvinge, Henry 4 Lapid, Erez Moshe 4 Martínez-Finkelshtein, Andrei 4 Osinenko, A. A. 4 Pak, Igor 4 Peled, Ron 4 Petrov, Fedor Vladimirovich 4 Pinsky, Ross George 4 Postnova, Olga V. 4 Rizzolo, Douglas 4 Rodgers, Brad 4 Romik, Dan 4 Sato, Ryosuke 4 Shadrin, Sergey V. 4 Shirai, Tomoyuki 4 Tarasov, Vitaly Olegovich 4 Tierz, Miguel 4 Tsilevich, Natalia V. 4 van Moerbeke, Pierre 4 Webb, Christian 4 Xiong, Huan ...and 793 more Authors all top 5 Cited in 196 Serials 57 Advances in Mathematics 50 Communications in Mathematical Physics 40 Journal of Mathematical Sciences (New York) 37 Functional Analysis and its Applications 29 Journal of Mathematical Physics 29 Journal of Algebra 29 Journal of Functional Analysis 25 The Annals of Probability 24 Letters in Mathematical Physics 24 Transactions of the American Mathematical Society 24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 21 Probability Theory and Related Fields 20 Advances in Applied Mathematics 19 Journal of High Energy Physics 17 Journal of Statistical Physics 17 Selecta Mathematica. 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Série VI ...and 96 more Serials all top 5 Cited in 54 Fields 403 Probability theory and stochastic processes (60-XX) 297 Combinatorics (05-XX) 183 Nonassociative rings and algebras (17-XX) 176 Topological groups, Lie groups (22-XX) 171 Group theory and generalizations (20-XX) 142 Statistical mechanics, structure of matter (82-XX) 132 Quantum theory (81-XX) 113 Special functions (33-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 89 Abstract harmonic analysis (43-XX) 56 Associative rings and algebras (16-XX) 55 Functional analysis (46-XX) 51 Dynamical systems and ergodic theory (37-XX) 49 Operator theory (47-XX) 44 Algebraic geometry (14-XX) 33 Number theory (11-XX) 28 Differential geometry (53-XX) 26 Partial differential equations (35-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Statistics (62-XX) 23 Measure and integration (28-XX) 22 Functions of a complex variable (30-XX) 18 Ordinary differential equations (34-XX) 17 Several complex variables and analytic spaces (32-XX) 12 Manifolds and cell complexes (57-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Convex and discrete geometry (52-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Difference and functional equations (39-XX) 9 Relativity and gravitational theory (83-XX) 8 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 7 Potential theory (31-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 6 Category theory; homological algebra (18-XX) 4 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year