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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

21 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

122 Publications have been cited 2,464 times in 1,165 Documents Cited by Year
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
171
2000
Yangians and classical Lie algebras. Zbl 0876.17014
Molev, A.; Nazarov, M.; Ol’shanskij, G.
112
1996
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
98
1997
The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107
Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori
76
1998
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003
Borodin, Alexei; Olshanski, Grigori
71
2005
Kerov’s central limit theorem for the Plancherel measure on Young diagrams. Zbl 1016.05073
Ivanov, Vladimir; Olshanski, Grigori
67
2002
Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049
Borodin, Alexei; Olshanski, Grigori
59
2000
The problem of harmonic analysis on the infinite-dimensional unitary group. Zbl 1036.43002
Olshanski, Grigori
55
2003
Harmonic analysis on the infinite symmetric group. Zbl 1057.43005
Kerov, Sergei; Olshanski, Grigori; Vershik, Anatoly
53
2004
Point processes and the infinite symmetric group. Zbl 1044.20501
Borodin, Alexei; Olshanski, Grigori
51
1998
Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series. Zbl 0503.22011
Ol’shanskij, G. I.
51
1982
Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004
Okounkov, Andrei; Olshanski, Grigori
51
1998
Harmonic analysis on the infinite symmetric group. A deformation of the regular representation. Zbl 0796.43005
Kerov, Serguei; Olshanski, Grigori; Vershik, Anatoli
51
1993
Shifted Schur functions. Zbl 0894.05053
Okun’kov, A. Yu.; Ol’shanskij, G.
49
1997
Infinite random matrices and ergodic measures. Zbl 0987.60020
Borodin, Alexei; Olshanski, Grigori
47
2001
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016
Ol’shanskij, Grigorij; Vershik, Anatolij
47
1996
Polynomial functions on the set of Young diagrams. Zbl 0830.20028
Kerov, Serguei; Olshanski, Grigori
46
1994
Unitary representations of infinite dimensional pairs (G,K) and the formalism of R. Howe. Zbl 0724.22020
Ol’shanskij, G. I.
45
1990
Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008
Okounkov, Andrei; Olshanski, Grigori
43
1998
Unitary representations of (G,K)-pairs connected with the infinite symmetric group S(\(\infty)\). Zbl 0731.20009
Ol’shanskij, G. I.
36
1990
Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra. Zbl 0766.17017
Ol’shanskij, G. I.
33
1992
The ASEP and determinantal point processes. Zbl 1369.60031
Borodin, Alexei; Olshanski, Grigori
33
2017
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149
Borodin, Alexei; Olshanski, Grigori
32
2012
The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131
Borodin, Alexei; Olshanski, Grigori
32
2012
\(q\)-exchangeability via quasi-invariance. Zbl 1204.60029
Gnedin, Alexander; Olshanski, Grigori
32
2010
Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036
Borodin, Alexei; Olshanski, Grigori
32
2009
Markov processes on partitions. Zbl 1105.60052
Borodin, Alexei; Olshanski, Grigori
30
2006
Bethe subalgebras in twisted Yangians. Zbl 0876.17015
Nazarov, Maxim; Olshanski, Grigori
29
1996
Twisted Yangians and infinite-dimensional classical Lie algebras. Zbl 0780.17025
Ol’shanskiĭ, G. I.
28
1992
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
28
2005
Asymptotics of Plancherel-type random partitions. Zbl 1117.60051
Borodin, Alexei; Olshanski, Grigori
28
2007
An introduction to harmonic analysis on the infinite symmetric group. Zbl 1035.05100
Olshanski, Grigori
27
2003
Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082
Borodin, Alexei; Olshanski, Grigori
27
2000
Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians. Zbl 0739.22015
Ol’shanskij, G. I.
25
1991
Representations of the infinite symmetric group. Zbl 1364.20001
Borodin, Alexei; Olshanski, Grigori
25
2016
Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
25
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
\(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013
Borodin, Alexei; Olshanski, Grigori
24
2001
The two-sided infinite extension of the Mallows model for random permutations. Zbl 1242.60010
Gnedin, Alexander; Olshanski, Grigori
23
2012
Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041
Borodin, Alexei; Olshanski, Grigori
21
2006
The Young bouquet and its boundary. Zbl 1320.05137
Borodin, Alexei; Olshanski, Grigori
21
2013
On semigroups related to infinite-dimensional groups. Zbl 0736.22014
Ol’shanskij, G. I.
20
1991
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.
20
1982
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.
20
1988
Meixner polynomials and random partitions. Zbl 1126.60006
Borodin, Alexei; Olshanski, Grigori
18
2006
The quasi-invariance property for the gamma kernel determinantal measure. Zbl 1218.60004
Olshanski, Grigori
18
2011
A quantization of the harmonic analysis on the infinite-dimensional unitary group. Zbl 1328.43007
Gorin, Vadim; Olshanski, Grigori
17
2016
Giambelli compatible point processes. Zbl 1108.05093
Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene
17
2006
Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees. Zbl 0371.22014
Ol’shanskii, G. I.
15
1977
Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074
Borodin, Alexei; Olshanski, Grigori
15
2013
A \(q\)-analogue of de Finetti’s theorem. Zbl 1200.60029
Gnedin, Alexander; Olshanski, Grigori
15
2009
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
Laguerre and Meixner orthogonal bases in the algebra of symmetric functions. Zbl 1257.33015
Olshanski, Grigori
13
2012
Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013
Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori
13
2015
Plancherel averages: remarks on a paper by Stanley. Zbl 1193.05161
Olshanski, Grigori
13
2010
Anisotropic Young diagrams and infinite-dimensional diffusion processes with the Jack parameter. Zbl 1193.60097
Olshanski, Grigori
13
2010
Projections of orbital measures, Gelfand-Tsetlin polytopes, and splines. Zbl 1281.22003
Olshanski, Grigori
13
2013
Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes. Zbl 1296.33021
Olshanski, G.
12
2011
Difference operators and determinantal point processes. Zbl 1157.60319
Olshanski, Grigori
12
2008
Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory. Zbl 0545.22020
Ol’shanskiĭ, G. I.
11
1984
Centralizer construction for twisted Yangians. Zbl 1026.17021
Molev, Alexander; Olshanski, Grigori
11
2000
Multivariate Jacobi polynomials and the Selberg integral. Zbl 1306.43006
Olshanski, G. I.; Osinenko, A. A.
11
2012
New ”large” groups of type I. Zbl 0484.22027
Ol’shanskij, G. I.
10
1982
Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg. Zbl 0576.32040
Ol’shanskij, G. I.
10
1983
Point processes related to the infinite symmetric group. Zbl 1087.60041
Olshanski, Grigori
10
2003
Classification of the irreducible representations of the automorphism groups of Bruhat-Tits trees. Zbl 0359.22010
Ol’shanskiĭ, G. I.
10
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.
10
1978
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
Interpolation Macdonald polynomials and Cauchy-type identities. Zbl 1401.05301
Olshanski, Grigori
10
2019
The boundary of Eulerian number triangle. Zbl 1126.60065
Gnedin, Alexander; Olshanski, Grigori
9
2006
Complex Lie semigroups, Hardy spaces and the Gel’fand-Gindikin program. Zbl 0789.22011
Ol’shanskij, G. I.
9
1991
Unitary representations of infinite-dimensional pairs \((G,K)\) and the formalism of R. Howe. Zbl 0532.22019
Ol’shanskiĭ, G. I.
8
1983
Probability measures on dual objects to compact symmetric spaces, and hypergeometric identities. Zbl 1075.43009
Ol’shanskij, G. I.
8
2003
Unitary representations of the infinite symmetric group: a semigroup approach. Zbl 0605.22005
Ol’shanskij, G. I.
8
1985
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.
8
1995
Random permutations and related topics. Zbl 1242.05006
Olshanski, Grigori
8
2011
Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups. Zbl 0668.22008
Ol’shanskij, G. I.
7
1988
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.
7
1979
Description of unitary representations with highest weight for groups U(p,q). Zbl 0455.22004
Ol’shanskij, G. I.
7
1981
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
On the duality theorem of Frobenius. Zbl 0234.22012
Ol’shanskiĭ, G. I.
6
1969
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
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.
5
1986
Extended Gelfand-Tsetlin graph, its \(q\)-boundary, and \(q\)-B-splines. Zbl 1358.43009
Olshanski, G. I.
5
2016
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups. Zbl 0990.20005
Molev, A. I.; Olshanski, G. I.
4
2001
Cauchy-Szegö kernels for Hardy spaces on simple Lie groups. Zbl 0860.43008
Olshanski, Grigori
4
1995
Complex Lie semigroups, Hardy spaces and the Gel’fand-Gindikin program. Zbl 0581.22012
Ol’shanskij, G. I.
4
1982
Description of unitary representations with highest weight for the groups U(p,q). Zbl 0439.22019
Ol’shanskij, G. I.
4
1980
Random Young tableaux and combinatorial identities. Zbl 0982.05110
Olshanski, Grigori; Regev, Amitai
4
2001
Determinantal point processes and fermion quasifree states. Zbl 1464.60045
Olshanski, Grigori
4
2020
Determinantal measures related to big \(q\)-Jacobi polynomials. Zbl 1376.60016
Gorin, V. E.; Olshanski, G. I.
3
2015
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
Weil representation and norms of Gaussian operators. Zbl 0848.22017
Ol’shanskij, G. I.
3
1994
Kirillov’s seminar on representation theory. Zbl 0879.00012
3
1998
Markov dynamics on the dual object to the infinite-dimensional unitary group. Zbl 1388.60134
Olshanski, Grigori
3
2016
The Gelfand-Tsetlin graph and Markov processes. Zbl 1373.05203
Olshanski, Grigori
3
2014
The centralizer construction and Yangian-type algebras. Zbl 07787754
Olshanski, Grigori
2
2024
A hierarchy of Palm measures for determinantal point processes with gamma kernels. Zbl 1510.60035
Bufetov, Alexander I.; Olshanski, Grigori
3
2022
Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions. Zbl 1480.05136
Cuenca, Cesar; Olshanski, Grigori
3
2022
Macdonald-level extension of beta ensembles and large-\(N\) limit transition. Zbl 1469.82023
Olshanski, Grigori
1
2021
The elliptic tail kernel. Zbl 1493.60081
Cuenca, Cesar; Gorin, Vadim; Olshanski, Grigori
1
2021
Determinantal point processes and fermion quasifree states. Zbl 1464.60045
Olshanski, Grigori
4
2020
Interpolation Macdonald polynomials and Cauchy-type identities. Zbl 1401.05301
Olshanski, Grigori
10
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
25
2016
A quantization of the harmonic analysis on the infinite-dimensional unitary group. Zbl 1328.43007
Gorin, Vadim; Olshanski, Grigori
17
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.
5
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
13
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
3
2014
The Young bouquet and its boundary. Zbl 1320.05137
Borodin, Alexei; Olshanski, Grigori
21
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
15
2013
Projections of orbital measures, Gelfand-Tsetlin polytopes, and splines. Zbl 1281.22003
Olshanski, Grigori
13
2013
Equilibrium Kawasaki dynamics and determinantal point process. Zbl 1279.60060
Lytvynov, E.; Olshanski, G.
1
2013
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149
Borodin, Alexei; Olshanski, Grigori
32
2012
The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131
Borodin, Alexei; Olshanski, Grigori
32
2012
The two-sided infinite extension of the Mallows model for random permutations. Zbl 1242.60010
Gnedin, Alexander; Olshanski, Grigori
23
2012
Laguerre and Meixner orthogonal bases in the algebra of symmetric functions. Zbl 1257.33015
Olshanski, Grigori
13
2012
Multivariate Jacobi polynomials and the Selberg integral. Zbl 1306.43006
Olshanski, G. I.; Osinenko, A. A.
11
2012
The quasi-invariance property for the gamma kernel determinantal measure. Zbl 1218.60004
Olshanski, Grigori
18
2011
Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes. Zbl 1296.33021
Olshanski, G.
12
2011
Random permutations and related topics. Zbl 1242.05006
Olshanski, Grigori
8
2011
\(q\)-exchangeability via quasi-invariance. Zbl 1204.60029
Gnedin, Alexander; Olshanski, Grigori
32
2010
Plancherel averages: remarks on a paper by Stanley. Zbl 1193.05161
Olshanski, Grigori
13
2010
Anisotropic Young diagrams and infinite-dimensional diffusion processes with the Jack parameter. Zbl 1193.60097
Olshanski, Grigori
13
2010
Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036
Borodin, Alexei; Olshanski, Grigori
32
2009
A \(q\)-analogue of de Finetti’s theorem. Zbl 1200.60029
Gnedin, Alexander; Olshanski, Grigori
15
2009
Difference operators and determinantal point processes. Zbl 1157.60319
Olshanski, Grigori
12
2008
Asymptotics of Plancherel-type random partitions. Zbl 1117.60051
Borodin, Alexei; Olshanski, Grigori
28
2007
Markov processes on partitions. Zbl 1105.60052
Borodin, Alexei; Olshanski, Grigori
30
2006
Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
25
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
18
2006
Giambelli compatible point processes. Zbl 1108.05093
Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene
17
2006
The boundary of Eulerian number triangle. Zbl 1126.60065
Gnedin, Alexander; Olshanski, Grigori
9
2006
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003
Borodin, Alexei; Olshanski, Grigori
71
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
28
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
53
2004
The problem of harmonic analysis on the infinite-dimensional unitary group. Zbl 1036.43002
Olshanski, Grigori
55
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.
8
2003
Kerov’s central limit theorem for the Plancherel measure on Young diagrams. Zbl 1016.05073
Ivanov, Vladimir; Olshanski, Grigori
67
2002
Infinite random matrices and ergodic measures. Zbl 0987.60020
Borodin, Alexei; Olshanski, Grigori
47
2001
\(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013
Borodin, Alexei; Olshanski, Grigori
24
2001
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups. Zbl 0990.20005
Molev, A. I.; Olshanski, G. I.
4
2001
Random Young tableaux and combinatorial identities. Zbl 0982.05110
Olshanski, Grigori; Regev, Amitai
4
2001
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
171
2000
Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049
Borodin, Alexei; Olshanski, Grigori
59
2000
Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082
Borodin, Alexei; Olshanski, Grigori
27
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
76
1998
Point processes and the infinite symmetric group. Zbl 1044.20501
Borodin, Alexei; Olshanski, Grigori
51
1998
Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004
Okounkov, Andrei; Olshanski, Grigori
51
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
3
1998
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
98
1997
Shifted Schur functions. Zbl 0894.05053
Okun’kov, A. Yu.; Ol’shanskij, G.
49
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.
112
1996
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. Zbl 0853.22016
Ol’shanskij, Grigorij; Vershik, Anatolij
47
1996
Bethe subalgebras in twisted Yangians. Zbl 0876.17015
Nazarov, Maxim; Olshanski, Grigori
29
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.
8
1995
Cauchy-Szegö kernels for Hardy spaces on simple Lie groups. Zbl 0860.43008
Olshanski, Grigori
4
1995
Polynomial functions on the set of Young diagrams. Zbl 0830.20028
Kerov, Serguei; Olshanski, Grigori
46
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
51
1993
Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra. Zbl 0766.17017
Ol’shanskij, G. I.
33
1992
Twisted Yangians and infinite-dimensional classical Lie algebras. Zbl 0780.17025
Ol’shanskiĭ, G. I.
28
1992
Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians. Zbl 0739.22015
Ol’shanskij, G. I.
25
1991
On semigroups related to infinite-dimensional groups. Zbl 0736.22014
Ol’shanskij, G. I.
20
1991
Complex Lie semigroups, Hardy spaces and the Gel’fand-Gindikin program. Zbl 0789.22011
Ol’shanskij, G. I.
9
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 infinite dimensional pairs (G,K) and the formalism of R. Howe. Zbl 0724.22020
Ol’shanskij, G. I.
45
1990
Unitary representations of (G,K)-pairs connected with the infinite symmetric group S(\(\infty)\). Zbl 0731.20009
Ol’shanskij, G. I.
36
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
Irreducible unitary representations of the groups \(U(p,q)\) admitting passage to the limit as \(q\to \infty\). Zbl 0779.20025
Ol’shanskij, G. I.
2
1989
Irreducible unitary representations of the group U(p,q) admitting the limit q\(\to \infty\). Zbl 0713.20043
Ol’shanskij, G. I.
2
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.
20
1988
Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups. Zbl 0668.22008
Ol’shanskij, G. I.
7
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.
5
1986
Unitary representations of the infinite symmetric group: a semigroup approach. Zbl 0605.22005
Ol’shanskij, G. I.
8
1985
Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory. Zbl 0545.22020
Ol’shanskiĭ, G. I.
11
1984
...and 22 more Documents
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Cited by 971 Authors

61 Borodin, Alexei
43 Ol’shanskiĭ, Grigoriĭ Iosifovich
35 Neretin, Yuriĭ Aleksandrovich
29 Gorin, Vadim
21 Bufetov, Aleksandr Igorevich
21 Neeb, Karl-Hermann
21 Petrov, Leonid
21 Vershik, Anatoliĭ Moiseevich
20 Molev, Alexander I.
19 Ragoucy, Eric
18 Hilgert, Joachim
17 Assiotis, Theodoros
16 Corwin, Ivan Z.
13 Bufetov, Alekseĭ Igor’evich
13 Crampé, Nicolas
13 Qiu, Yanqi
12 Doikou, Anastasia
12 Okun’kov, Andreĭ Yur’evich
12 Śniady, Piotr
10 Cuenca, Cesar
10 Féray, Valentin
9 Forrester, Peter J.
9 Fulman, Jason E.
9 Guay, Nicolas
9 Hofmann, Karl Heinrich
9 Strahov, Eugene
8 Frappat, Luc
8 Gnedin, Alexander V.
8 Kerov, Sergei V.
8 Lassalle, Michel
8 Morozov, Alexei Yurievich
8 Nikeghbali, Ashkan
8 Ólafsson, Gestur
8 Panova, Greta
8 Regelskis, Vidas
7 Ferrari, Patrik Lino
7 Jing, Naihuan
7 Mironov, Andrei D.
7 Morales, Alejandro Henry
7 Najnudel, Joseph
7 Pak, Igor
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 Nazarov, Maxim Leonidovich
6 Orlov, Aleksandr Yu.
6 Ørsted, Bent
6 Rabaoui, Marouane
6 Rains, Eric M.
6 Rybnikov, Leonid Grigor’evich
6 Sergeev, Aleksandr Nikolaevich
6 Voit, Michael
5 Arnaudon, Daniel
5 Blower, Gordon
5 Chicherin, Dmitry
5 Dimitrov, Evgeni I.
5 Feĭgin, Boris L’vovich
5 Gorin, V. E.
5 Grantcharov, Dimitar
5 Han, Guo-Niu
5 Jung, Ji Hye
5 Khoroshkin, Sergey M.
5 Kozlowski, Karol Kajetan
5 Mukhin, Evgeny
5 Regev, Amitai
5 Rizzolo, Douglas
5 Sato, Ryosuke
5 Slavnov, Nikita A.
5 Varchenko, Alexander Nikolaevich
5 Veselov, Alexander Petrovich
5 Warnaar, S. Ole
5 Wheeler, Michael
4 Adler, Mark
4 Avan, Jean
4 Brundan, Jonathan
4 Charlier, Christophe
4 Derkachëv, Sergeĭ Èduardovich
4 Dołęga, Maciej
4 Duits, Maurice
4 Forman, Noah Mills
4 Gombor, Tamás
4 Hallnäs, Martin A.
4 Ilin, Aleksei
4 Kim, Myungho
4 Kuan, Jeffrey
4 Kuhn, Maria Gabriella
4 Kvinge, Henry
4 Lapid, Erez Moshe
4 Martínez-Finkelshtein, Andrei
4 Natanzon, Sergei M.
4 Osinenko, A. A.
4 Pal, Soumik
4 Peled, Ron
4 Petrov, Fedor Vladimirovich
4 Pinsky, Ross George
4 Postnova, Olga V.
...and 871 more Authors
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Cited in 203 Serials

61 Advances in Mathematics
53 Communications in Mathematical Physics
42 Journal of Mathematical Sciences (New York)
40 Functional Analysis and its Applications
36 Journal of Functional Analysis
34 Journal of Mathematical Physics
32 Journal of Algebra
26 Journal of High Energy Physics
25 The Annals of Probability
25 Transactions of the American Mathematical Society
24 Letters in Mathematical Physics
24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
21 Probability Theory and Related Fields
21 Selecta Mathematica. New Series
20 Advances in Applied Mathematics
19 Journal of Statistical Mechanics: Theory and Experiment
17 Journal of Statistical Physics
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Journal of Physics A: Mathematical and Theoretical
15 Nuclear Physics. B
15 Annales de l’Institut Fourier
14 Journal of Algebraic Combinatorics
13 Duke Mathematical Journal
13 Mathematische Annalen
13 Electronic Journal of Probability
11 Journal of Combinatorial Theory. Series A
10 Journal of Theoretical Probability
10 Representation Theory
9 Theoretical and Mathematical Physics
9 Proceedings of the American Mathematical Society
9 Stochastic Processes and their Applications
9 Séminaire Lotharingien de Combinatoire
8 Journal of Geometry and Physics
8 Compositio Mathematica
8 Inventiones Mathematicae
8 Mathematische Zeitschrift
8 Bulletin of the American Mathematical Society. New Series
8 The Electronic Journal of Combinatorics
8 Transformation Groups
7 Communications on Pure and Applied Mathematics
7 Discrete Mathematics
7 Rocky Mountain Journal of Mathematics
7 Journal of Approximation Theory
7 Random Structures & Algorithms
7 Bernoulli
7 The Ramanujan Journal
7 Annales Henri Poincaré
7 Random Matrices: Theory and Applications
6 Israel Journal of Mathematics
6 Journal of the London Mathematical Society. Second Series
6 European Journal of Combinatorics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Monatshefte für Mathematik
5 Semigroup Forum
5 Journal of the American Mathematical Society
5 Algebras and Representation Theory
5 Annals of Combinatorics
4 Communications in Algebra
4 Journal of Mathematical Analysis and Applications
4 Mathematical Notes
4 Physics Letters. B
4 Arkiv för Matematik
4 Journal of Applied Probability
4 Manuscripta Mathematica
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Studies in Applied Mathematics
4 The Annals of Applied Probability
4 Journal of Lie Theory
4 Sbornik: Mathematics
4 Izvestiya: Mathematics
4 Journal of Nonlinear Mathematical Physics
4 Moscow Mathematical Journal
4 Proceedings of the Steklov Institute of Mathematics
4 Algebraic Combinatorics
3 Russian Mathematical Surveys
3 Nagoya Mathematical Journal
3 Proceedings of the London Mathematical Society. Third Series
3 Results in Mathematics
3 Physica D
3 Constructive Approximation
3 International Journal of Mathematics
3 IMRN. International Mathematics Research Notices
3 Indagationes Mathematicae. New Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Algebra and its Applications
3 Probability and Mathematical Physics
2 International Journal of Modern Physics A
2 Nonlinearity
2 Reports on Mathematical Physics
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 Transactions of the Moscow Mathematical Society
...and 103 more Serials
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Cited in 53 Fields

419 Probability theory and stochastic processes (60-XX)
323 Combinatorics (05-XX)
204 Nonassociative rings and algebras (17-XX)
203 Topological groups, Lie groups (22-XX)
181 Group theory and generalizations (20-XX)
154 Statistical mechanics, structure of matter (82-XX)
153 Quantum theory (81-XX)
124 Special functions (33-XX)
108 Linear and multilinear algebra; matrix theory (15-XX)
98 Abstract harmonic analysis (43-XX)
61 Associative rings and algebras (16-XX)
61 Functional analysis (46-XX)
59 Dynamical systems and ergodic theory (37-XX)
54 Algebraic geometry (14-XX)
52 Operator theory (47-XX)
35 Number theory (11-XX)
29 Partial differential equations (35-XX)
29 Differential geometry (53-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
25 Measure and integration (28-XX)
25 Statistics (62-XX)
24 Functions of a complex variable (30-XX)
21 Ordinary differential equations (34-XX)
20 Several complex variables and analytic spaces (32-XX)
16 Manifolds and cell complexes (57-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
12 Convex and discrete geometry (52-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Relativity and gravitational theory (83-XX)
9 Difference and functional equations (39-XX)
9 Approximations and expansions (41-XX)
9 Integral transforms, operational calculus (44-XX)
8 Category theory; homological algebra (18-XX)
7 Potential theory (31-XX)
7 Numerical analysis (65-XX)
7 Biology and other natural sciences (92-XX)
5 Computer science (68-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 General topology (54-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 \(K\)-theory (19-XX)
2 Algebraic topology (55-XX)
1 Field theory and polynomials (12-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Fluid mechanics (76-XX)

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