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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
Videos: carmin.tv
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 5,157 times in 2,946 Documents Cited by Year
Seiberg-Witten theory and random partitions. Zbl 1233.14029
Nekrasov, Nikita A.; Okounkov, Andrei
567
2006
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
263
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
196
2003
Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
193
2006
Quantum groups and quantum cohomology. Zbl 1422.14002
Maulik, Davesh; Okounkov, Andrei
183
2019
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
171
2000
Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076
Okounkov, A.; Pandharipande, R.
165
2006
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
147
2006
Infinite wedge and random partitions. Zbl 0986.05102
Okounkov, Andrei
137
2001
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
137
2007
Toda equations for Hurwitz numbers. Zbl 0969.37033
Okounkov, Andrei
127
2000
Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004
Okounkov, Andrei
105
1996
Quantum foam and topological strings. Zbl 1246.81338
Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei
104
2008
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
103
1996
Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
102
2006
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
98
1997
Quantum cohomology of the Springer resolution. Zbl 1226.14069
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
94
2011
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
82
2000
The equivariant Gromov-Witten theory of \(\mathbb P^1\). Zbl 1105.14077
Okounkov, A.; Pandharipande, R.
81
2006
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039
Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
80
2011
Why would multiplicities be log-concave? Zbl 1063.22024
Okounkov, Andrei
78
2003
Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials. Zbl 1019.32014
Eskin, Alex; Okounkov, Andrei
78
2001
The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107
Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori
76
1998
Lectures on \(K\)-theoretic computations in enumerative geometry. Zbl 1402.19001
Okounkov, Andrei
76
2017
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
75
2006
Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072
Okounkov, A.; Pandharipande, R.
75
2009
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
73
2007
The local Gromov-Witten theory of curves. Zbl 1126.14062
Bryan, Jim; Pandharipande, Rahul
69
2008
Membranes and sheaves. Zbl 1369.14069
Nekrasov, Nikita; Okounkov, Andrei
69
2016
Random matrices and random permutations. Zbl 1018.15020
Okounkov, Andrei
68
2000
Elliptic stable envelopes. Zbl 1524.14098
Aganagic, Mina; Okounkov, Andrei
62
2021
The character of the infinite wedge representation. Zbl 0978.17016
Bloch, Spencer; Okounkov, Andrei
58
2000
Exts and vertex operators. Zbl 1256.14010
Carlsson, Erik; Okounkov, Andrei
53
2012
Quantum immanants and higher Capelli identities. Zbl 0864.17014
Okounkov, Andrei
52
1996
Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054
Okounkov, A.; Pandharipande, R.
52
2010
Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004
Okounkov, Andrei; Olshanski, Grigori
51
1998
Virasoro constraints for target curves. Zbl 1140.14047
Okounkov, A.; Pandharipande, R.
50
2006
Shifted Schur functions. Zbl 0894.05053
Okun’kov, A. Yu.; Ol’shanskij, G.
49
1997
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
44
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
40
1998
Quantum difference equation for Nakajima varieties. Zbl 1504.14096
Okounkov, A.; Smirnov, A.
37
2022
Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012
Okounkov, Andrei
36
2002
Five dimensional gauge theories and vertex operators. Zbl 1303.14046
Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei
36
2014
Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018
Aganagic, Mina; Okounkov, Andrei
36
2017
The uses of random partitions. Zbl 1120.05301
Okounkov, Andrei
35
2005
Hodge integrals and invariants of the unknot. Zbl 1062.14035
Okounkov, A.; Pandharipande, R.
35
2004
Symmetric functions and random partitions. Zbl 1017.05103
Okounkov, Andrei
34
2002
\(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
32
1998
Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012
Okounkov, Andrei
32
1997
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
31
2005
The theta characteristic of a branched covering. Zbl 1157.14014
Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul
30
2008
The local Donaldson-Thomas theory of curves. Zbl 1205.14067
Okounkov, A.; Pandharipande, R.
30
2010
Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
25
2006
Pillowcases and quasimodular forms. Zbl 1136.14039
Eskin, Alex; Okounkov, Andrei
24
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
20
1998
Log-concavity of multiplicities with application to characters of \(U(\infty)\). Zbl 0910.22011
Okounkov, Andrei
19
1997
On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005
Okounkov, Andrei
18
2018
The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108
Okounkov, A.; Pandharipande, R.
17
2010
Multiplicities and Newton polytopes. Zbl 0920.20032
Okounkov, Andrei
17
1998
On representations of the infinite symmetric group. Zbl 0959.20016
Okounkov, Andrei
14
1997
\(\text{SL}(2)\) and \(z\)-measures. Zbl 0985.43007
Okounkov, Andrei
14
2001
Hilbert schemes and multiple \(q\)-zeta values. Zbl 1327.14026
Okounkov, Andrei
14
2014
Thoma’s theorem and representations of the infinite bisymmetric group. Zbl 0830.20029
Okun’kov, A. Yu.
12
1994
Random partitions and instanton counting. Zbl 1099.81042
Okounkov, Andrei
12
2006
Enumerative geometry and geometric representation theory. Zbl 1451.14162
Okounkov, Andrei
12
2018
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
Random surfaces enumerating algebraic curves. Zbl 1078.14082
Okounkov, Andrei
10
2005
Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066
Okounkov, Andrei
10
2019
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
9
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
Multipoint series of Gromov-Witten invariants of \(\mathbb {CP}^1\). Zbl 1016.14027
Getzler, E.; Okounkov, A.; Pandharipande, R.
5
2002
Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050
Okounkov, Andrei
5
2003
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
5
2015
Random trees and moduli of curves. Zbl 1052.14066
Okounkov, Andrei
4
2003
Geometry of planar log-fronts. Zbl 1222.14127
Mikhalkin, Grigory; Okounkov, Andrei
4
2007
A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084
Okounkov, A. Yu.
3
2002
An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011
Vershik, A. M.; Okun’kov, A. Yu.
3
1996
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.
37
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
62
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
183
2019
Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066
Okounkov, Andrei
10
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
18
2018
Enumerative geometry and geometric representation theory. Zbl 1451.14162
Okounkov, Andrei
12
2018
Lectures on \(K\)-theoretic computations in enumerative geometry. Zbl 1402.19001
Okounkov, Andrei
76
2017
Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018
Aganagic, Mina; Okounkov, Andrei
36
2017
Membranes and sheaves. Zbl 1369.14069
Nekrasov, Nikita; Okounkov, Andrei
69
2016
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
9
2016
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
5
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
14
2014
Exts and vertex operators. Zbl 1256.14010
Carlsson, Erik; Okounkov, Andrei
53
2012
Quantum cohomology of the Springer resolution. Zbl 1226.14069
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
94
2011
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039
Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
80
2011
Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054
Okounkov, A.; Pandharipande, R.
52
2010
The local Donaldson-Thomas theory of curves. Zbl 1205.14067
Okounkov, A.; Pandharipande, R.
30
2010
The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108
Okounkov, A.; Pandharipande, R.
17
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
104
2008
The local Gromov-Witten theory of curves. Zbl 1126.14062
Bryan, Jim; Pandharipande, Rahul
69
2008
The theta characteristic of a branched covering. Zbl 1157.14014
Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul
30
2008
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
137
2007
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
73
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
567
2006
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
263
2006
Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
193
2006
Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076
Okounkov, A.; Pandharipande, R.
165
2006
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
147
2006
Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
102
2006
The equivariant Gromov-Witten theory of \(\mathbb P^1\). Zbl 1105.14077
Okounkov, A.; Pandharipande, R.
81
2006
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
75
2006
Virasoro constraints for target curves. Zbl 1140.14047
Okounkov, A.; Pandharipande, R.
50
2006
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
44
2006
Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
25
2006
Pillowcases and quasimodular forms. Zbl 1136.14039
Eskin, Alex; Okounkov, Andrei
24
2006
Random partitions and instanton counting. Zbl 1099.81042
Okounkov, Andrei
12
2006
The uses of random partitions. Zbl 1120.05301
Okounkov, Andrei
35
2005
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
31
2005
Random surfaces enumerating algebraic curves. Zbl 1078.14082
Okounkov, Andrei
10
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.
35
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
196
2003
Why would multiplicities be log-concave? Zbl 1063.22024
Okounkov, Andrei
78
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
36
2002
Symmetric functions and random partitions. Zbl 1017.05103
Okounkov, Andrei
34
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
137
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
78
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
171
2000
Toda equations for Hurwitz numbers. Zbl 0969.37033
Okounkov, Andrei
127
2000
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
82
2000
Random matrices and random permutations. Zbl 1018.15020
Okounkov, Andrei
68
2000
The character of the infinite wedge representation. Zbl 0978.17016
Bloch, Spencer; Okounkov, Andrei
58
2000
The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107
Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori
76
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
(Shifted) Macdonald polynomials: \(q\)-integral representation and combinatorial formula. Zbl 0897.05085
Okounkov, Andrei
40
1998
\(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
32
1998
On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014
Okounkov, Andrei
20
1998
Multiplicities and Newton polytopes. Zbl 0920.20032
Okounkov, Andrei
17
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
Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012
Okounkov, Andrei
32
1997
Log-concavity of multiplicities with application to characters of \(U(\infty)\). Zbl 0910.22011
Okounkov, Andrei
19
1997
On representations of the infinite symmetric group. Zbl 0959.20016
Okounkov, Andrei
14
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
Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004
Okounkov, Andrei
105
1996
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
103
1996
Quantum immanants and higher Capelli identities. Zbl 0864.17014
Okounkov, Andrei
52
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.
12
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 2,358 Authors

54 Borodin, Alexei
45 Morozov, Alexei Yurievich
39 Pandharipande, Rahul
34 Okun’kov, Andreĭ Yur’evich
33 Mironov, Andrei D.
30 Gorin, Vadim
29 Ol’shanskiĭ, Grigoriĭ Iosifovich
28 Petrov, Leonid
23 Tanzini, Alessandro
21 Nekrasov, Nikita Alexandrovich
20 Johansson, Kurt
20 Varchenko, Alexander Nikolaevich
19 Bonelli, Giulio
17 Lerda, Alberto
17 Shadrin, Sergey V.
17 Vershik, Anatoliĭ Moiseevich
16 Adler, Mark
16 Corwin, Ivan Z.
16 Klemm, Albrecht
16 Morales, Jose Francisco
16 Rimányi, Richárd
16 Toninelli, Fabio Lucio
16 van Moerbeke, Pierre
16 Yang, Di
15 Billó, Marco
15 Ferrari, Patrik Lino
15 Fucito, Francesco
15 Harnad, John
15 Szabo, Richard J.
14 Aggarwal, Amol
14 Betea, Dan
14 Creutzig, Thomas
14 Kimura, Taro
14 Lewanski, Danilo
14 Negut, Andrei
14 Toda, Yukinobu
14 Zabzine, Maxim
13 Feĭgin, Boris L’vovich
13 Goulden, Ian P.
13 Litvinov, Alekseĭ Viktorovich
13 Mariño, Marcos
13 Orlov, Aleksandr Yu.
13 Popolitov, Aleksandr
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, Aleksandr Igorevich
12 Bufetov, Alekseĭ Igor’evich
12 Chhita, Sunil
12 Fulman, Jason E.
12 Grassi, Alba
12 Jing, Naihuan
12 Kenyon, Richard W.
12 Koroteev, Peter
12 Molev, Alexander I.
12 Poghossian, Rubik
12 Smirnov, Andrey V.
12 Tarasov, Vitaly Olegovich
12 Thomas, Richard Paul
12 Yamazaki, Masahito
11 Baik, Jinho
11 Cirafici, Michele
11 Cutkosky, Steven Dale
11 Duits, Maurice
11 Frau, Marialuisa
11 Han, Guo-Niu
11 Heim, Bernhard Ernst
11 Huang, Minxin
11 Kaveh, Kiumars
11 Neuhauser, Markus
11 Pak, Igor
11 Panova, Greta
11 Śniady, Piotr
11 Tseng, Hsian-Hua
11 Wang, Na
11 Zenkevich, Yegor
10 Alexandrov, Alexander Sergeevich
10 Bershteĭn, Mikhaĭl Aleksandrovich
10 Bogolyubov, Nikolaĭ Mikhaĭlovich
10 Cao, Yalong
10 Chapuy, Guillaume
10 Chester, Shai M.
10 Féray, Valentin
10 Gaiotto, Davide
10 Gavrylenko, Pavlo
10 Goujard, Elise
10 Iqbal, Amer
10 Kim, Hee-Cheol
10 Kool, Martijn
10 Kuijlaars, Arno B. J.
10 Lee, Minho
10 Liu, Chiu-Chu Melissa
10 Maulik, Davesh
10 Morales, Alejandro Henry
10 Nieri, Fabrizio
10 Su, Changjian
...and 2,258 more Authors
all top 5

Cited in 284 Serials

476 Journal of High Energy Physics
203 Communications in Mathematical Physics
140 Advances in Mathematics
97 Letters in Mathematical Physics
76 Nuclear Physics. B
57 Selecta Mathematica. New Series
56 Journal of Mathematical Physics
56 Journal of Algebra
54 Journal of Physics A: Mathematical and Theoretical
50 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
47 Journal of Geometry and Physics
43 Duke Mathematical Journal
43 Geometry & Topology
42 Transactions of the American Mathematical Society
40 The Annals of Probability
39 Probability Theory and Related Fields
39 Journal of Algebraic Combinatorics
34 Journal of Statistical Physics
33 Inventiones Mathematicae
32 Journal of Mathematical Sciences (New York)
31 Journal of Combinatorial Theory. Series A
29 Mathematische Annalen
28 Functional Analysis and its Applications
25 Theoretical and Mathematical Physics
25 Compositio Mathematica
25 Journal of the American Mathematical Society
23 Annales Henri Poincaré
22 Physics Letters. B
22 Séminaire Lotharingien de Combinatoire
22 The Ramanujan Journal
21 Journal of the London Mathematical Society. Second Series
21 Mathematische Zeitschrift
21 Advances in Applied Mathematics
19 Forum of Mathematics, Sigma
18 Annales de l’Institut Fourier
18 Journal of Statistical Mechanics: Theory and Experiment
17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Bulletin of the American Mathematical Society. New Series
16 Annals of Combinatorics
15 Journal für die Reine und Angewandte Mathematik
14 Communications on Pure and Applied Mathematics
14 Journal of Functional Analysis
13 The Electronic Journal of Combinatorics
13 Journal of the European Mathematical Society (JEMS)
13 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
13 Algebraic Combinatorics
12 Proceedings of the American Mathematical Society
12 Acta Mathematica Sinica. English Series
11 Communications in Algebra
11 Proceedings of the London Mathematical Society. Third Series
11 Transformation Groups
11 Research in Number Theory
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
9 Discrete Mathematics
9 Geometriae Dedicata
9 Representation Theory
8 Journal of Pure and Applied Algebra
8 European Journal of Combinatorics
8 Mathematical Physics, Analysis and Geometry
8 Forum of Mathematics, Pi
7 International Journal of Modern Physics A
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Publications Mathématiques
7 Michigan Mathematical Journal
7 International Journal of Mathematics
7 The Annals of Applied Probability
7 Kyoto Journal of Mathematics
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 Algebras and Representation Theory
6 Annals of Mathematics. Second Series
6 Journal of the Institute of Mathematics of Jussieu
6 Journal of Topology
6 Japanese Journal of Mathematics. 3rd Series
6 Science China. Mathematics
6 Arnold Mathematical Journal
5 Russian Mathematical Surveys
5 Journal of Approximation Theory
5 Manuscripta Mathematica
5 Studies in Applied Mathematics
5 Stochastic Processes and their Applications
5 Journal of Lie Theory
5 Moscow Mathematical Journal
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Oberwolfach Reports
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 Reports on Mathematical Physics
4 Reviews in Mathematical Physics
4 Acta Mathematica
4 Integral Equations and Operator Theory
4 Journal of Number Theory
...and 184 more Serials
all top 5

Cited in 59 Fields

1,002 Algebraic geometry (14-XX)
989 Quantum theory (81-XX)
666 Combinatorics (05-XX)
454 Probability theory and stochastic processes (60-XX)
401 Statistical mechanics, structure of matter (82-XX)
302 Nonassociative rings and algebras (17-XX)
243 Group theory and generalizations (20-XX)
202 Special functions (33-XX)
202 Dynamical systems and ergodic theory (37-XX)
179 Differential geometry (53-XX)
175 Relativity and gravitational theory (83-XX)
172 Number theory (11-XX)
164 Linear and multilinear algebra; matrix theory (15-XX)
140 Associative rings and algebras (16-XX)
137 Several complex variables and analytic spaces (32-XX)
119 Manifolds and cell complexes (57-XX)
117 Partial differential equations (35-XX)
88 Functions of a complex variable (30-XX)
82 Convex and discrete geometry (52-XX)
75 Topological groups, Lie groups (22-XX)
68 Global analysis, analysis on manifolds (58-XX)
63 Commutative algebra (13-XX)
55 Operator theory (47-XX)
43 Algebraic topology (55-XX)
42 \(K\)-theory (19-XX)
38 Ordinary differential equations (34-XX)
36 Mechanics of particles and systems (70-XX)
35 Category theory; homological algebra (18-XX)
34 Abstract harmonic analysis (43-XX)
28 Statistics (62-XX)
26 Functional analysis (46-XX)
25 Difference and functional equations (39-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
20 Numerical analysis (65-XX)
14 Computer science (68-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
13 Geometry (51-XX)
11 History and biography (01-XX)
11 Approximations and expansions (41-XX)
9 Measure and integration (28-XX)
8 Real functions (26-XX)
8 Fluid mechanics (76-XX)
7 General and overarching topics; collections (00-XX)
7 Potential theory (31-XX)
7 Integral transforms, operational calculus (44-XX)
6 Biology and other natural sciences (92-XX)
6 Information and communication theory, circuits (94-XX)
5 Mathematical logic and foundations (03-XX)
5 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-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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