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Ol’shanskiĭ, Grigoriĭ Iosifovich

Author ID: olshanskii.grigorii-iosifovich Recent zbMATH articles by "Ol’shanskiĭ, Grigoriĭ 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.
Homepage: http://www.iitp.ru/en/userpages/88/
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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

Publications by Year

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
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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
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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. New Series
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Journal of Physics A: Mathematical and Theoretical
14 Annales de l’Institut Fourier
14 Electronic Journal of Probability
13 Nuclear Physics. B
13 Duke Mathematical Journal
13 Mathematische Annalen
13 Journal of Algebraic Combinatorics
12 Journal of Statistical Mechanics: Theory and Experiment
10 Journal of Theoretical Probability
9 Theoretical and Mathematical Physics
9 Stochastic Processes and their Applications
9 Séminaire Lotharingien de Combinatoire
8 Journal of Geometry and Physics
8 Compositio Mathematica
8 Inventiones Mathematicae
8 Proceedings of the American Mathematical Society
8 Bulletin of the American Mathematical Society. New Series
8 The Electronic Journal of Combinatorics
8 Representation Theory
7 Discrete Mathematics
7 Rocky Mountain Journal of Mathematics
7 Journal of Approximation Theory
7 Journal of Combinatorial Theory. Series A
7 Mathematische Zeitschrift
7 Bernoulli
7 Transformation Groups
7 Annales Henri Poincaré
7 Random Matrices: Theory and Applications
6 Israel Journal of Mathematics
6 The Ramanujan Journal
5 Communications on Pure and Applied Mathematics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal of the London Mathematical Society. Second Series
5 Monatshefte für Mathematik
5 Semigroup Forum
5 European Journal of Combinatorics
5 Journal of the American Mathematical Society
5 Algebras and Representation Theory
5 Annals of Combinatorics
4 Journal of Mathematical Analysis and Applications
4 Arkiv för Matematik
4 Journal of Applied Probability
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Random Structures & Algorithms
4 The Annals of Applied Probability
4 Izvestiya: Mathematics
4 Proceedings of the Steklov Institute of Mathematics
3 Communications in Algebra
3 Mathematical Notes
3 Physics Letters. B
3 Russian Mathematical Surveys
3 Manuscripta Mathematica
3 Nagoya Mathematical Journal
3 Results in Mathematics
3 Constructive Approximation
3 International Journal of Mathematics
3 Indagationes Mathematicae. New Series
3 Journal of Lie Theory
3 Sbornik: Mathematics
3 Moscow Mathematical Journal
3 Journal of Algebra and its Applications
3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
3 Algebraic Combinatorics
3 Probability and Mathematical Physics
2 International Journal of Modern Physics A
2 Nonlinearity
2 Reviews in Mathematical Physics
2 Theory of Probability and its Applications
2 American Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Publications Mathématiques
2 Integral Equations and Operator Theory
2 Journal of the Mathematical Society of Japan
2 Journal of Pure and Applied Algebra
2 Memoirs of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 Transactions of the Moscow Mathematical Society
2 Physica D
2 Differential Geometry and its Applications
2 Geometric and Functional Analysis. GAFA
2 Linear Algebra and its Applications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 96 more Serials
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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)

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