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Okun’kov, Andreĭ Yur’evich

Author ID: okounkov.andrei-yuryevich Recent zbMATH articles by "Okun’kov, Andreĭ Yur’evich"
Published as: Okounkov, Andrei; Okounkov, A.; Okounkov, A. Yu.; Okun’kov, A. Yu.; Okun’kov, Andrej Yu.; Okounkov, Andreĭ Yur’evich; Okoun’kov, A. Yu.; Okunkov, A. Yu.
Further Spellings: Okounkov, Andrei Yuryevich; Окуньков Андрей Юрьевич
Homepage: https://web.math.princeton.edu/~okounkov/
External Links: MacTutor · MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef
Awards: EMS Prize (2004) · Fields Medal (2006)
all top 5

Co-Authors

44 single-authored
16 Pandharipande, Rahul
8 Ol’shanskiĭ, Grigoriĭ Iosifovich
7 Nekrasov, Nikita Alexandrovich
6 Vershik, Anatoliĭ Moiseevich
5 Maulik, Davesh
4 Kenyon, Richard W.
4 Reshetikhin, Nikolai Yu.
3 Aganagic, Mina
3 Borodin, Alexei
3 Eskin, Alex
3 Oblomkov, Alexei A.
2 Bukhshtaber, Viktor Matveevich
2 Carlsson, Erik
2 Kazhdan, David
2 Kirillov, Alexandre Aleksandrovich
2 Novikov, Sergeĭ Petrovich
2 Vafa, Cumrun
1 Bloch, Spencer J.
1 Braverman, Alexander
1 Bryan, Jim
1 Bufetov, Aleksandr Igorevich
1 Bufetov, Alekseĭ Igor’evich
1 Chekhov, Leonid O.
1 Dobrokhotov, Sergei Yurievich
1 Faber, Carel Filip
1 Faddeev, Lyudvig Dmitrievich
1 Fomin, Sergey Vladimirovich
1 Frenkel, Edward V.
1 Getzler, Ezra
1 Gordin, Mikhail Iosifovich
1 Gorin, V. E.
1 Grinevich, Pëtr Georgievich
1 Grushevsky, Samuel
1 Ibragimov, Il’dar Abdullovich
1 Iqbal, Amer
1 Ismagilov, Rais Sal’manovich
1 Kaimanovich, Vadim A.
1 Kerov, Sergei V.
1 Khoroshkin, Sergey M.
1 Lodkin, A. A.
1 Marshakov, Andrei V.
1 Mikhalkin, Grigory B.
1 Mironov, Andreĭ Evgen’evich
1 Molchanov, Vladimir Fedorovich
1 Molev, Alexander I.
1 Moreira, Miguel M. R.
1 Nazarov, Maxim Leonidovich
1 Neretin, Yuriĭ Aleksandrovich
1 Nessonov, Nikolai I.
1 Olshanetsky, Mikhail A.
1 Osinenko, A. A.
1 Petrov, Fedor Vladimirovich
1 Petrov, Leonid
1 Pogrebkov, Andrei K.
1 Rains, Eric M.
1 Sheffield, Scott
1 Sheĭnman, Oleg Karlovich
1 Shlosman, Senya B.
1 Sinaĭ, Yakov Grigor’evich
1 Smirnov, Andrey V.
1 Taĭmanov, Iskander Asanovich
1 Tsfasman, Michael A.
1 Tsilevich, Natalia V.
1 Varchenko, Alexander Nikolaevich
1 Veselov, Alexander Petrovich
1 Zabrodin, Anton V.

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 4,879 times in 2,801 Documents Cited by Year
Seiberg-Witten theory and random partitions. Zbl 1233.14029
Nekrasov, Nikita A.; Okounkov, Andrei
548
2006
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
250
2006
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134
Okounkov, Andrei; Reshetikhin, Nikolai
189
2003
Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
186
2006
Quantum groups and quantum cohomology. Zbl 1422.14002
Maulik, Davesh; Okounkov, Andrei
166
2019
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
163
2000
Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076
Okounkov, A.; Pandharipande, R.
161
2006
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
138
2006
Infinite wedge and random partitions. Zbl 0986.05102
Okounkov, Andrei
134
2001
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
132
2007
Toda equations for Hurwitz numbers. Zbl 0969.37033
Okounkov, Andrei
121
2000
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
101
1996
Quantum foam and topological strings. Zbl 1246.81338
Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei
99
2008
Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
98
2006
Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004
Okounkov, Andrei
98
1996
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
92
1997
Quantum cohomology of the Springer resolution. Zbl 1226.14069
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
89
2011
The equivariant Gromov-Witten theory of \(\mathbb P^1\). Zbl 1105.14077
Okounkov, A.; Pandharipande, R.
79
2006
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
77
2000
Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials. Zbl 1019.32014
Eskin, Alex; Okounkov, Andrei
77
2001
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039
Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
76
2011
Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072
Okounkov, A.; Pandharipande, R.
75
2009
The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107
Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori
73
1998
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
72
2006
Lectures on \(K\)-theoretic computations in enumerative geometry. Zbl 1402.19001
Okounkov, Andrei
72
2017
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
71
2007
The local Gromov-Witten theory of curves. Zbl 1126.14062
Bryan, Jim; Pandharipande, Rahul
67
2008
Membranes and sheaves. Zbl 1369.14069
Nekrasov, Nikita; Okounkov, Andrei
67
2016
Random matrices and random permutations. Zbl 1018.15020
Okounkov, Andrei
65
2000
Why would multiplicities be log-concave? Zbl 1063.22024
Okounkov, Andrei
65
2003
Elliptic stable envelopes. Zbl 1524.14098
Aganagic, Mina; Okounkov, Andrei
58
2021
The character of the infinite wedge representation. Zbl 0978.17016
Bloch, Spencer; Okounkov, Andrei
57
2000
Exts and vertex operators. Zbl 1256.14010
Carlsson, Erik; Okounkov, Andrei
52
2012
Quantum immanants and higher Capelli identities. Zbl 0864.17014
Okounkov, Andrei
51
1996
Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004
Okounkov, Andrei; Olshanski, Grigori
50
1998
Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054
Okounkov, A.; Pandharipande, R.
50
2010
Virasoro constraints for target curves. Zbl 1140.14047
Okounkov, A.; Pandharipande, R.
49
2006
Quantum \(q\)-Langlands correspondence. Zbl 1422.22021
Aganagic, M.; Frenkel, E.; Okounkov, A.
46
2018
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
43
2006
Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008
Okounkov, Andrei; Olshanski, Grigori
43
1998
(Shifted) Macdonald polynomials: \(q\)-integral representation and combinatorial formula. Zbl 0897.05085
Okounkov, Andrei
39
1998
Five dimensional gauge theories and vertex operators. Zbl 1303.14046
Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei
36
2014
Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012
Okounkov, Andrei
35
2002
Hodge integrals and invariants of the unknot. Zbl 1062.14035
Okounkov, A.; Pandharipande, R.
34
2004
Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018
Aganagic, Mina; Okounkov, Andrei
34
2017
Quantum difference equation for Nakajima varieties. Zbl 1504.14096
Okounkov, A.; Smirnov, A.
33
2022
The uses of random partitions. Zbl 1120.05301
Okounkov, Andrei
32
2005
Symmetric functions and random partitions. Zbl 1017.05103
Okounkov, Andrei
32
2002
\(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
31
1998
Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012
Okounkov, Andrei
29
1997
The local Donaldson-Thomas theory of curves. Zbl 1205.14067
Okounkov, A.; Pandharipande, R.
29
2010
The theta characteristic of a branched covering. Zbl 1157.14014
Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul
28
2008
Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
24
2006
Pillowcases and quasimodular forms. Zbl 1136.14039
Eskin, Alex; Okounkov, Andrei
23
2006
Young basis, Wick formula, and higher Capelli identities. Zbl 0878.17008
Okounkov, Andrei
21
1996
On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014
Okounkov, Andrei
19
1998
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
19
2005
Log-concavity of multiplicities with application to characters of \(U(\infty)\). Zbl 0910.22011
Okounkov, Andrei
19
1997
The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108
Okounkov, A.; Pandharipande, R.
16
2010
Multiplicities and Newton polytopes. Zbl 0920.20032
Okounkov, Andrei
16
1998
On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005
Okounkov, Andrei
15
2018
\(\text{SL}(2)\) and \(z\)-measures. Zbl 0985.43007
Okounkov, Andrei
14
2001
Shifted Schur functions. Zbl 0894.05053
Okun’kov, A. Yu.; Ol’shanskij, G.
12
1997
Random partitions and instanton counting. Zbl 1099.81042
Okounkov, Andrei
12
2006
Hilbert schemes and multiple \(q\)-zeta values. Zbl 1327.14026
Okounkov, Andrei
12
2014
On representations of the infinite symmetric group. Zbl 0959.20016
Okounkov, Andrei
11
1997
Note on the Hilbert polynomial of a spherical variety. Zbl 0928.14032
Okounkov, A. Yu.
11
1997
Inductive construction of stable envelopes. Zbl 1484.14052
Okounkov, Andrei
11
2021
Enumerative geometry and geometric representation theory. Zbl 1451.14162
Okounkov, Andrei
11
2018
Random surfaces enumerating algebraic curves. Zbl 1078.14082
Okounkov, Andrei
9
2005
Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066
Okounkov, Andrei
9
2019
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
8
2016
The 2-leg vertex in \(K\)-theoretic DT theory. Zbl 1467.14133
Kononov, Ya.; Okounkov, Andreĭ Yur’evich; Osinenko, A.
8
2021
Proof of a conjecture of Goulden and Jackson. Zbl 0903.05017
Okounkov, Andrei
6
1997
What is \(\dots\) a dimer? Zbl 1142.82339
Kenyon, Richard; Okounkov, Andrei
6
2005
GW/PT descendent correspondence via vertex operators. Zbl 1440.14259
Oblomkov, A.; Okounkov, A.; Pandharipande, R.
6
2020
Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050
Okounkov, Andrei
5
2003
Multipoint series of Gromov-Witten invariants of \(\mathbb {CP}^1\). Zbl 1016.14027
Getzler, E.; Okounkov, A.; Pandharipande, R.
5
2002
Geometry of planar log-fronts. Zbl 1222.14127
Mikhalkin, Grigory; Okounkov, Andrei
4
2007
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
4
2015
Random trees and moduli of curves. Zbl 1052.14066
Okounkov, Andrei
4
2003
Thoma’s theorem and representations of the infinite bisymmetric group. Zbl 0830.20029
Okun’kov, A. Yu.
3
1994
An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011
Vershik, A. M.; Okun’kov, A. Yu.
3
1996
A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084
Okounkov, A. Yu.
3
2002
Virasoro constraints for stable pairs on toric threefolds. Zbl 1505.14115
Moreira, Miguel; Oblomkov, Alexei; Okounkov, Andrei; Pandharipande, Rahul
3
2022
Representation of orbits in the form of a sum of elementary orbits. Zbl 0834.22014
Okun’kov, A. Yu.
1
1994
Igor’ Moiseevich Krichever. Zbl 1489.01018
Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B.
1
2021
Quantum difference equation for Nakajima varieties. Zbl 1504.14096
Okounkov, A.; Smirnov, A.
33
2022
Virasoro constraints for stable pairs on toric threefolds. Zbl 1505.14115
Moreira, Miguel; Oblomkov, Alexei; Okounkov, Andrei; Pandharipande, Rahul
3
2022
Elliptic stable envelopes. Zbl 1524.14098
Aganagic, Mina; Okounkov, Andrei
58
2021
Inductive construction of stable envelopes. Zbl 1484.14052
Okounkov, Andrei
11
2021
The 2-leg vertex in \(K\)-theoretic DT theory. Zbl 1467.14133
Kononov, Ya.; Okounkov, Andreĭ Yur’evich; Osinenko, A.
8
2021
Igor’ Moiseevich Krichever. Zbl 1489.01018
Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B.
1
2021
GW/PT descendent correspondence via vertex operators. Zbl 1440.14259
Oblomkov, A.; Okounkov, A.; Pandharipande, R.
6
2020
Quantum groups and quantum cohomology. Zbl 1422.14002
Maulik, Davesh; Okounkov, Andrei
166
2019
Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066
Okounkov, Andrei
9
2019
Quantum \(q\)-Langlands correspondence. Zbl 1422.22021
Aganagic, M.; Frenkel, E.; Okounkov, A.
46
2018
On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005
Okounkov, Andrei
15
2018
Enumerative geometry and geometric representation theory. Zbl 1451.14162
Okounkov, Andrei
11
2018
Lectures on \(K\)-theoretic computations in enumerative geometry. Zbl 1402.19001
Okounkov, Andrei
72
2017
Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018
Aganagic, Mina; Okounkov, Andrei
34
2017
Membranes and sheaves. Zbl 1369.14069
Nekrasov, Nikita; Okounkov, Andrei
67
2016
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
8
2016
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
4
2015
Five dimensional gauge theories and vertex operators. Zbl 1303.14046
Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei
36
2014
Hilbert schemes and multiple \(q\)-zeta values. Zbl 1327.14026
Okounkov, Andrei
12
2014
Exts and vertex operators. Zbl 1256.14010
Carlsson, Erik; Okounkov, Andrei
52
2012
Quantum cohomology of the Springer resolution. Zbl 1226.14069
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
89
2011
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039
Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
76
2011
Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054
Okounkov, A.; Pandharipande, R.
50
2010
The local Donaldson-Thomas theory of curves. Zbl 1205.14067
Okounkov, A.; Pandharipande, R.
29
2010
The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108
Okounkov, A.; Pandharipande, R.
16
2010
Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072
Okounkov, A.; Pandharipande, R.
75
2009
Quantum foam and topological strings. Zbl 1246.81338
Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei
99
2008
The local Gromov-Witten theory of curves. Zbl 1126.14062
Bryan, Jim; Pandharipande, Rahul
67
2008
The theta characteristic of a branched covering. Zbl 1157.14014
Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul
28
2008
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
132
2007
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
71
2007
Geometry of planar log-fronts. Zbl 1222.14127
Mikhalkin, Grigory; Okounkov, Andrei
4
2007
Seiberg-Witten theory and random partitions. Zbl 1233.14029
Nekrasov, Nikita A.; Okounkov, Andrei
548
2006
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
250
2006
Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
186
2006
Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076
Okounkov, A.; Pandharipande, R.
161
2006
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
138
2006
Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
98
2006
The equivariant Gromov-Witten theory of \(\mathbb P^1\). Zbl 1105.14077
Okounkov, A.; Pandharipande, R.
79
2006
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
72
2006
Virasoro constraints for target curves. Zbl 1140.14047
Okounkov, A.; Pandharipande, R.
49
2006
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
43
2006
Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
24
2006
Pillowcases and quasimodular forms. Zbl 1136.14039
Eskin, Alex; Okounkov, Andrei
23
2006
Random partitions and instanton counting. Zbl 1099.81042
Okounkov, Andrei
12
2006
The uses of random partitions. Zbl 1120.05301
Okounkov, Andrei
32
2005
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
19
2005
Random surfaces enumerating algebraic curves. Zbl 1078.14082
Okounkov, Andrei
9
2005
What is \(\dots\) a dimer? Zbl 1142.82339
Kenyon, Richard; Okounkov, Andrei
6
2005
Hodge integrals and invariants of the unknot. Zbl 1062.14035
Okounkov, A.; Pandharipande, R.
34
2004
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134
Okounkov, Andrei; Reshetikhin, Nikolai
189
2003
Why would multiplicities be log-concave? Zbl 1063.22024
Okounkov, Andrei
65
2003
Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050
Okounkov, Andrei
5
2003
Random trees and moduli of curves. Zbl 1052.14066
Okounkov, Andrei
4
2003
Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012
Okounkov, Andrei
35
2002
Symmetric functions and random partitions. Zbl 1017.05103
Okounkov, Andrei
32
2002
Multipoint series of Gromov-Witten invariants of \(\mathbb {CP}^1\). Zbl 1016.14027
Getzler, E.; Okounkov, A.; Pandharipande, R.
5
2002
A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084
Okounkov, A. Yu.
3
2002
Infinite wedge and random partitions. Zbl 0986.05102
Okounkov, Andrei
134
2001
Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials. Zbl 1019.32014
Eskin, Alex; Okounkov, Andrei
77
2001
\(\text{SL}(2)\) and \(z\)-measures. Zbl 0985.43007
Okounkov, Andrei
14
2001
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
163
2000
Toda equations for Hurwitz numbers. Zbl 0969.37033
Okounkov, Andrei
121
2000
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
77
2000
Random matrices and random permutations. Zbl 1018.15020
Okounkov, Andrei
65
2000
The character of the infinite wedge representation. Zbl 0978.17016
Bloch, Spencer; Okounkov, Andrei
57
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
Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008
Okounkov, Andrei; Olshanski, Grigori
43
1998
(Shifted) Macdonald polynomials: \(q\)-integral representation and combinatorial formula. Zbl 0897.05085
Okounkov, Andrei
39
1998
\(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
31
1998
On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014
Okounkov, Andrei
19
1998
Multiplicities and Newton polytopes. Zbl 0920.20032
Okounkov, Andrei
16
1998
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
92
1997
Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012
Okounkov, Andrei
29
1997
Log-concavity of multiplicities with application to characters of \(U(\infty)\). Zbl 0910.22011
Okounkov, Andrei
19
1997
Shifted Schur functions. Zbl 0894.05053
Okun’kov, A. Yu.; Ol’shanskij, G.
12
1997
On representations of the infinite symmetric group. Zbl 0959.20016
Okounkov, Andrei
11
1997
Note on the Hilbert polynomial of a spherical variety. Zbl 0928.14032
Okounkov, A. Yu.
11
1997
Proof of a conjecture of Goulden and Jackson. Zbl 0903.05017
Okounkov, Andrei
6
1997
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
101
1996
Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004
Okounkov, Andrei
98
1996
Quantum immanants and higher Capelli identities. Zbl 0864.17014
Okounkov, Andrei
51
1996
Young basis, Wick formula, and higher Capelli identities. Zbl 0878.17008
Okounkov, Andrei
21
1996
An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011
Vershik, A. M.; Okun’kov, A. Yu.
3
1996
Thoma’s theorem and representations of the infinite bisymmetric group. Zbl 0830.20029
Okun’kov, A. Yu.
3
1994
Representation of orbits in the form of a sum of elementary orbits. Zbl 0834.22014
Okun’kov, A. Yu.
1
1994
all top 5

Cited by 2,267 Authors

54 Borodin, Alexei
40 Morozov, Alexei Yurievich
36 Pandharipande, Rahul
34 Ol’shanskiĭ, Grigoriĭ Iosifovich
33 Okun’kov, Andreĭ Yur’evich
31 Mironov, Andrei D.
30 Gorin, Vadim
27 Petrov, Leonid
23 Tanzini, Alessandro
21 Nekrasov, Nikita Alexandrovich
20 Johansson, Kurt
19 Bonelli, Giulio
19 Varchenko, Alexander Nikolaevich
18 Lerda, Alberto
16 Adler, Mark
16 Billó, Marco
16 Corwin, Ivan Z.
16 Klemm, Albrecht
16 van Moerbeke, Pierre
16 Vershik, Anatoliĭ Moiseevich
16 Yang, Di
15 Ferrari, Patrik Lino
15 Harnad, John
15 Morales, Jose Francisco
15 Shadrin, Sergey V.
15 Toninelli, Fabio Lucio
14 Aggarwal, Amol
14 Betea, Dan
14 Creutzig, Thomas
14 Fucito, Francesco
14 Kimura, Taro
14 Negut, Andrei
14 Rimányi, Richárd
14 Szabo, Richard J.
14 Zabzine, Maxim
13 Feĭgin, Boris L’vovich
13 Goulden, Ian P.
13 Lewanski, Danilo
13 Mariño, Marcos
13 Rains, Eric M.
13 Reshetikhin, Nikolai Yu.
13 Takasaki, Kanehisa
13 Vafa, Cumrun
12 Aganagic, Mina
12 Bourgine, Jean-Emile
12 Boutillier, Cédric
12 Bufetov, Alekseĭ Igor’evich
12 Frau, Marialuisa
12 Fulman, Jason E.
12 Grassi, Alba
12 Kenyon, Richard W.
12 Koroteev, Peter
12 Litvinov, Alekseĭ Viktorovich
12 Molev, Alexander I.
12 Orlov, Aleksandr Yu.
12 Poghossian, Rubik
12 Popolitov, Aleksandr
12 Smirnov, Andrey V.
12 Tarasov, Vitaly Olegovich
12 Thomas, Richard Paul
12 Toda, Yukinobu
12 Yamazaki, Masahito
11 Bufetov, Aleksandr Igorevich
11 Chhita, Sunil
11 Cutkosky, Steven Dale
11 Duits, Maurice
11 Heim, Bernhard Ernst
11 Huang, Minxin
11 Kaveh, Kiumars
11 Neuhauser, Markus
11 Śniady, Piotr
11 Tseng, Hsian-Hua
11 Wang, Na
11 Zenkevich, Yegor
10 Alexandrov, Alexander Sergeevich
10 Baik, Jinho
10 Cao, Yalong
10 Cirafici, Michele
10 Gaiotto, Davide
10 Gavrylenko, Pavlo
10 Han, Guo-Niu
10 Iqbal, Amer
10 Kool, Martijn
10 Kuijlaars, Arno B. J.
10 Lee, Minho
10 Liu, Chiu-Chu Melissa
10 Nieri, Fabrizio
9 Bershteĭn, Mikhaĭl Aleksandrovich
9 Bertola, Marco
9 Bogolyubov, Nikolaĭ Mikhaĭlovich
9 Borot, Gaëtan
9 Bryan, Jim
9 Buryak, Alexandr Y.
9 Chapuy, Guillaume
9 Cuenca, Cesar
9 de Tilière, Béatrice
9 Di Francesco, Philippe
9 Diaconescu, Duiliu-Emanuel
9 Féray, Valentin
9 Goujard, Elise
...and 2,167 more Authors
all top 5

Cited in 277 Serials

455 Journal of High Energy Physics
202 Communications in Mathematical Physics
133 Advances in Mathematics
94 Letters in Mathematical Physics
73 Nuclear Physics. B
55 Selecta Mathematica. New Series
54 Journal of Algebra
53 Journal of Mathematical Physics
51 Journal of Physics A: Mathematical and Theoretical
48 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
46 Journal of Geometry and Physics
41 Duke Mathematical Journal
41 Transactions of the American Mathematical Society
39 The Annals of Probability
39 Probability Theory and Related Fields
39 Geometry & Topology
37 Journal of Algebraic Combinatorics
34 Journal of Statistical Physics
33 Inventiones Mathematicae
31 Journal of Mathematical Sciences (New York)
29 Mathematische Annalen
27 Journal of Combinatorial Theory. Series A
26 Functional Analysis and its Applications
25 Compositio Mathematica
25 Journal of the American Mathematical Society
24 Theoretical and Mathematical Physics
22 Annales Henri Poincaré
21 Séminaire Lotharingien de Combinatoire
21 The Ramanujan Journal
20 Mathematische Zeitschrift
20 Advances in Applied Mathematics
18 Annales de l’Institut Fourier
17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Physics Letters. B
16 Bulletin of the American Mathematical Society. New Series
16 Annals of Combinatorics
16 Forum of Mathematics, Sigma
15 Journal of the London Mathematical Society. Second Series
15 Journal für die Reine und Angewandte Mathematik
15 Journal of Statistical Mechanics: Theory and Experiment
13 The Electronic Journal of Combinatorics
13 Journal of the European Mathematical Society (JEMS)
12 Communications on Pure and Applied Mathematics
12 Journal of Functional Analysis
12 Proceedings of the American Mathematical Society
12 Acta Mathematica Sinica. English Series
12 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
11 Transformation Groups
11 Algebraic Combinatorics
10 Communications in Algebra
10 Bulletin of the London Mathematical Society
10 Geometric and Functional Analysis. GAFA
10 Electronic Journal of Probability
10 Random Matrices: Theory and Applications
10 Research in the Mathematical Sciences
10 Research in Number Theory
9 Discrete Mathematics
9 Geometriae Dedicata
9 Representation Theory
8 Mathematical Physics, Analysis and Geometry
7 International Journal of Modern Physics A
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Publications Mathématiques
7 Journal of Pure and Applied Algebra
7 Michigan Mathematical Journal
7 Proceedings of the London Mathematical Society. Third Series
7 European Journal of Combinatorics
7 International Journal of Mathematics
7 The Annals of Applied Probability
7 Kyoto Journal of Mathematics
7 Forum of Mathematics, Pi
6 Journal of Mathematical Analysis and Applications
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Physica D
6 Journal of Theoretical Probability
6 Annals of Mathematics. Second Series
6 Journal of the Institute of Mathematics of Jussieu
6 Japanese Journal of Mathematics. 3rd Series
6 Science China. Mathematics
6 Arnold Mathematical Journal
5 Journal of Approximation Theory
5 Manuscripta Mathematica
5 Stochastic Processes and their Applications
5 Journal of Lie Theory
5 Algebras and Representation Theory
5 Moscow Mathematical Journal
5 Proceedings of the Steklov Institute of Mathematics
5 European Journal of Mathematics
4 Bulletin of the Australian Mathematical Society
4 Israel Journal of Mathematics
4 Russian Mathematical Surveys
4 Reviews in Mathematical Physics
4 Acta Mathematica
4 Integral Equations and Operator Theory
4 Journal of Number Theory
4 Constructive Approximation
4 International Journal of Algebra and Computation
4 IMRN. International Mathematics Research Notices
4 Journal of Knot Theory and its Ramifications
4 Experimental Mathematics
...and 177 more Serials
all top 5

Cited in 59 Fields

953 Algebraic geometry (14-XX)
944 Quantum theory (81-XX)
628 Combinatorics (05-XX)
437 Probability theory and stochastic processes (60-XX)
385 Statistical mechanics, structure of matter (82-XX)
288 Nonassociative rings and algebras (17-XX)
223 Group theory and generalizations (20-XX)
192 Special functions (33-XX)
192 Dynamical systems and ergodic theory (37-XX)
175 Differential geometry (53-XX)
169 Relativity and gravitational theory (83-XX)
165 Number theory (11-XX)
158 Linear and multilinear algebra; matrix theory (15-XX)
133 Associative rings and algebras (16-XX)
130 Several complex variables and analytic spaces (32-XX)
111 Manifolds and cell complexes (57-XX)
110 Partial differential equations (35-XX)
84 Functions of a complex variable (30-XX)
75 Convex and discrete geometry (52-XX)
71 Topological groups, Lie groups (22-XX)
61 Global analysis, analysis on manifolds (58-XX)
60 Commutative algebra (13-XX)
52 Operator theory (47-XX)
42 Algebraic topology (55-XX)
37 \(K\)-theory (19-XX)
37 Ordinary differential equations (34-XX)
35 Mechanics of particles and systems (70-XX)
34 Abstract harmonic analysis (43-XX)
32 Category theory; homological algebra (18-XX)
26 Statistics (62-XX)
25 Difference and functional equations (39-XX)
25 Functional analysis (46-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
19 Numerical analysis (65-XX)
12 Geometry (51-XX)
12 Computer science (68-XX)
10 History and biography (01-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Approximations and expansions (41-XX)
8 Measure and integration (28-XX)
8 Fluid mechanics (76-XX)
7 Real functions (26-XX)
7 Potential theory (31-XX)
6 General and overarching topics; collections (00-XX)
6 Biology and other natural sciences (92-XX)
6 Information and communication theory, circuits (94-XX)
5 Integral transforms, operational calculus (44-XX)
5 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Mechanics of deformable solids (74-XX)
3 Optics, electromagnetic theory (78-XX)
1 General algebraic systems (08-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year

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