# zbMATH — the first resource for mathematics

## Okun’kov, Andreĭ Yur’evich

Compute Distance To:
 Author ID: okounkov.andrei-yuryevich Published as: Okounkov, Andrei; Okounkov, A.; Okun’kov, A. Yu.; Okounkov, A. Yu.; Okun’kov, Andrej Yu.; Okunkov, Andrei; Okounkov, Andreĭ Yur’evich; Okoun’kov, A. Yu.; Okunkov, A. Yu. Homepage: https://web.math.princeton.edu/~okounkov/ External Links: Google Scholar · MGP · Math-Net.Ru · Wikidata · ORCID · GND · MacTutor Awards: EMS Prize (2004) · Fields Medal (2006)
 Documents Indexed: 87 Publications since 1994, including 1 Book Biographic References: 6 Publications
all top 5

#### Co-Authors

 35 single-authored 14 Pandharipande, Rahul 8 Ol’shanskiĭ, Grigoriĭ Iosifovich 6 Nekrasov, Nikita Alexandrovich 5 Maulik, Davesh 5 Vershik, Anatoliĭ Moiseevich 4 Kenyon, Richard W. 4 Reshetikhin, Nikolai Yu. 3 Aganagic, Mina 3 Borodin, Alexei 3 Eskin, Alex 2 Carlsson, Erik 2 Kirillov, Alexandre Aleksandrovich 2 Oblomkov, Alexei A. 2 Vafa, Cumrun 1 Bloch, Spencer J. 1 Braverman, Alexander 1 Bufetov, Aleksandr Igorevich 1 Bufetov, Alekseĭ Igor’evich 1 Bukhshtaber, Viktor Matveevich 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Sergey Vladimirovich 1 Getzler, Ezra 1 Gordin, Mikhail Iosifovich 1 Gorin, V. E. 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 Kononov, Ya. A. 1 Lodkin, A. A. 1 Mikhalkin, Grigory B. 1 Molchanov, Vladimir Fedorovich 1 Molev, Alexander I. 1 Nazarov, Maxim Leonidovich 1 Neretin, Yuriĭ Aleksandrovich 1 Nessonov, Nikolai I. 1 Novikov, Sergeĭ Petrovich 1 Osinenko, A. A. 1 Petrov, Fedor Vladimirovich 1 Petrov, Leonid 1 Rains, Eric M. 1 Sheffield, Scott 1 Sinaĭ, Yakov Grigor’evich 1 Tsilevich, Natalia V. 1 Yakubovich, Yuri V.
all top 5

#### Serials

 5 Inventiones Mathematicae 5 IMRN. International Mathematics Research Notices 4 Russian Mathematical Surveys 4 Advances in Mathematics 4 Functional Analysis and its Applications 4 Transformation Groups 4 Moscow Mathematical Journal 3 Communications in Mathematical Physics 3 Compositio Mathematica 3 Journal of the American Mathematical Society 3 Mathematical Research Letters 3 Annals of Mathematics. Second Series 2 Duke Mathematical Journal 2 Notices of the American Mathematical Society 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Geometry & Topology 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Integral Equations and Operator Theory 1 Transactions of the Moscow Mathematical Society 1 Advances in Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Zapiski Nauchnykh Seminarov POMI 1 St. Petersburg Mathematical Journal 1 Journal of High Energy Physics 1 Astérisque 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Algebraic Geometry
all top 5

#### Fields

 42 Algebraic geometry (14-XX) 22 Combinatorics (05-XX) 14 Group theory and generalizations (20-XX) 12 Special functions (33-XX) 11 Probability theory and stochastic processes (60-XX) 10 Nonassociative rings and algebras (17-XX) 10 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 9 Statistical mechanics, structure of matter (82-XX) 4 $$K$$-theory (19-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 3 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

79 Publications have been cited 3,380 times in 2,009 Documents Cited by Year
Seiberg-Witten theory and random partitions. Zbl 1233.14029
Nekrasov, Nikita A.; Okounkov, Andrei
2006
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
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
2003
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
2000
Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
2006
Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076
Okounkov, A.; Pandharipande, R.
2006
Infinite wedge and random partitions. Zbl 0986.05102
Okounkov, Andrei
2001
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
2006
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
2007
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
1996
Toda equations for Hurwitz numbers. Zbl 0969.37033
Okounkov, Andrei
2000
Quantum groups and quantum cohomology. Zbl 1422.14002
Maulik, Davesh; Okounkov, Andrei
2019
Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004
Okounkov, Andrei
1996
Quantum cohomology of the Springer resolution. Zbl 1226.14069
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
2011
Quantum foam and topological strings. Zbl 1246.81338
Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei
2008
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
1997
Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
2006
The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107
Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori
1998
Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials. Zbl 1019.32014
Eskin, Alex; Okounkov, Andrei
2001
The equivariant Gromov-Witten theory of $$\mathbb P^1$$. Zbl 1105.14077
Okounkov, A.; Pandharipande, R.
2006
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
2000
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
2007
Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072
Okounkov, A.; Pandharipande, R.
2009
Random matrices and random permutations. Zbl 1018.15020
Okounkov, Andrei
2000
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039
Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
2011
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
2006
Why would multiplicities be log-concave? Zbl 1063.22024
Okounkov, Andrei
2003
Exts and vertex operators. Zbl 1256.14010
Carlsson, Erik; Okounkov, Andrei
2012
Membranes and sheaves. Zbl 1369.14069
Nekrasov, Nikita; Okounkov, Andrei
2016
Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004
Okounkov, Andrei; Olshanski, Grigori
1998
The character of the infinite wedge representation. Zbl 0978.17016
Bloch, Spencer; Okounkov, Andrei
2000
Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054
Okounkov, A.; Pandharipande, R.
2010
Quantum immanants and higher Capelli identities. Zbl 0864.17014
Okounkov, Andrei
1996
Lectures on $$K$$-theoretic computations in enumerative geometry. Zbl 1402.19001
Okounkov, Andrei
2017
Virasoro constraints for target curves. Zbl 1140.14047
Okounkov, A.; Pandharipande, R.
2006
(Shifted) Macdonald polynomials: $$q$$-integral representation and combinatorial formula. Zbl 0897.05085
Okounkov, Andrei
1998
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
2006
Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008
Okounkov, Andrei; Olshanski, Grigori
1998
Five dimensional gauge theories and vertex operators. Zbl 1303.14046
Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei
2014
Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012
Okounkov, Andrei
1997
Hodge integrals and invariants of the unknot. Zbl 1062.14035
Okounkov, A.; Pandharipande, R.
2004
The uses of random partitions. Zbl 1120.05301
Okounkov, Andrei
2005
The local Donaldson-Thomas theory of curves. Zbl 1205.14067
Okounkov, A.; Pandharipande, R.
2010
Symmetric functions and random partitions. Zbl 1017.05103
Okounkov, Andrei
2002
$$BC$$-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
1998
Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012
Okounkov, Andrei
2002
Limits of $$BC$$-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
2006
Pillowcases and quasimodular forms. Zbl 1136.14039
Eskin, Alex; Okounkov, Andrei
2006
Quantum $$q$$-Langlands correspondence. Zbl 1422.22021
Aganagic, M.; Frenkel, E.; Okounkov, A.
2018
Log-concavity of multiplicities with application to characters of $$U(\infty)$$. Zbl 0910.22011
Okounkov, Andrei
1997
Young basis, Wick formula, and higher Capelli identities. Zbl 0878.17008
Okounkov, Andrei
1996
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun’kov, A. Yu.
2005
The theta characteristic of a branched covering. Zbl 1157.14014
Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul
2008
On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014
Okounkov, Andrei
1998
Multiplicities and Newton polytopes. Zbl 0920.20032
Okounkov, Andrei
1998
$$\text{SL}(2)$$ and $$z$$-measures. Zbl 0985.43007
Okounkov, Andrei
2001
On representations of the infinite symmetric group. Zbl 0959.20016
Okounkov, Andrei
1997
Random partitions and instanton counting. Zbl 1099.81042
Okounkov, Andrei
2006
Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018
Aganagic, Mina; Okounkov, Andrei
2017
Note on the Hilbert polynomial of a spherical variety. Zbl 0928.14032
Okounkov, A. Yu.
1997
The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108
Okounkov, A.; Pandharipande, R.
2010
Elliptic stable envelopes. Zbl 07304878
Aganagic, Mina; Okounkov, Andrei
2021
Random surfaces enumerating algebraic curves. Zbl 1078.14082
Okounkov, Andrei
2005
Hilbert schemes and multiple $$q$$-zeta values. Zbl 1327.14026
Okounkov, Andrei
2014
On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005
Okounkov, Andrei
2018
Proof of a conjecture of Goulden and Jackson. Zbl 0903.05017
Okounkov, Andrei
1997
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
2016
What is $$\dots$$ a dimer? Zbl 1142.82339
Kenyon, Richard; Okounkov, Andrei
2005
Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050
Okounkov, Andrei
2003
Multipoint series of Gromov-Witten invariants of $$\mathbb {CP}^1$$. Zbl 1016.14027
Getzler, E.; Okounkov, A.; Pandharipande, R.
2002
Geometry of planar log-fronts. Zbl 1222.14127
Mikhalkin, Grigory; Okounkov, Andrei
2007
An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011
Vershik, A. M.; Okun’kov, A. Yu.
1996
A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084
Okounkov, A. Yu.
2002
Random trees and moduli of curves. Zbl 1052.14066
Okounkov, Andrei
2003
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
2015
Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066
Okounkov, Andrei
2019
Enumerative geometry and geometric representation theory. Zbl 1451.14162
Okounkov, Andrei
2018
Representation of orbits in the form of a sum of elementary orbits. Zbl 0834.22014
Okun’kov, A. Yu.
1994
GW/PT descendent correspondence via vertex operators. Zbl 1440.14259
Oblomkov, A.; Okounkov, A.; Pandharipande, R.
2020
Elliptic stable envelopes. Zbl 07304878
Aganagic, Mina; Okounkov, Andrei
2021
GW/PT descendent correspondence via vertex operators. Zbl 1440.14259
Oblomkov, A.; Okounkov, A.; Pandharipande, R.
2020
Quantum groups and quantum cohomology. Zbl 1422.14002
Maulik, Davesh; Okounkov, Andrei
2019
Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066
Okounkov, Andrei
2019
Quantum $$q$$-Langlands correspondence. Zbl 1422.22021
Aganagic, M.; Frenkel, E.; Okounkov, A.
2018
On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005
Okounkov, Andrei
2018
Enumerative geometry and geometric representation theory. Zbl 1451.14162
Okounkov, Andrei
2018
Lectures on $$K$$-theoretic computations in enumerative geometry. Zbl 1402.19001
Okounkov, Andrei
2017
Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018
Aganagic, Mina; Okounkov, Andrei
2017
Membranes and sheaves. Zbl 1369.14069
Nekrasov, Nikita; Okounkov, Andrei
2016
Limit shapes, real and imagined. Zbl 1348.60053
Okounkov, Andrei
2016
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
2015
Five dimensional gauge theories and vertex operators. Zbl 1303.14046
Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei
2014
Hilbert schemes and multiple $$q$$-zeta values. Zbl 1327.14026
Okounkov, Andrei
2014
Exts and vertex operators. Zbl 1256.14010
Carlsson, Erik; Okounkov, Andrei
2012
Quantum cohomology of the Springer resolution. Zbl 1226.14069
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
2011
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039
Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
2011
Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054
Okounkov, A.; Pandharipande, R.
2010
The local Donaldson-Thomas theory of curves. Zbl 1205.14067
Okounkov, A.; Pandharipande, R.
2010
The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108
Okounkov, A.; Pandharipande, R.
2010
Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072
Okounkov, A.; Pandharipande, R.
2009
Quantum foam and topological strings. Zbl 1246.81338
Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei
2008
The theta characteristic of a branched covering. Zbl 1157.14014
Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul
2008
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
2007
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
2007
Geometry of planar log-fronts. Zbl 1222.14127
Mikhalkin, Grigory; Okounkov, Andrei
2007
Seiberg-Witten theory and random partitions. Zbl 1233.14029
Nekrasov, Nikita A.; Okounkov, Andrei
2006
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
2006
Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
2006
Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076
Okounkov, A.; Pandharipande, R.
2006
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
2006
Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047
Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R.
2006
The equivariant Gromov-Witten theory of $$\mathbb P^1$$. Zbl 1105.14077
Okounkov, A.; Pandharipande, R.
2006
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
2006
Virasoro constraints for target curves. Zbl 1140.14047
Okounkov, A.; Pandharipande, R.
2006
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
2006
Limits of $$BC$$-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008
Okounkov, Andrei; Olshanski, Grigori
2006
Pillowcases and quasimodular forms. Zbl 1136.14039
Eskin, Alex; Okounkov, Andrei
2006
Random partitions and instanton counting. Zbl 1099.81042
Okounkov, Andrei
2006
The uses of random partitions. Zbl 1120.05301
Okounkov, Andrei
2005
A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502
Vershik, A. M.; Okoun&rsquo;kov, A. Yu.
2005
Random surfaces enumerating algebraic curves. Zbl 1078.14082
Okounkov, Andrei
2005
What is $$\dots$$ a dimer? Zbl 1142.82339
Kenyon, Richard; Okounkov, Andrei
2005
Hodge integrals and invariants of the unknot. Zbl 1062.14035
Okounkov, A.; Pandharipande, R.
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
2003
Why would multiplicities be log-concave? Zbl 1063.22024
Okounkov, Andrei
2003
Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050
Okounkov, Andrei
2003
Random trees and moduli of curves. Zbl 1052.14066
Okounkov, Andrei
2003
Symmetric functions and random partitions. Zbl 1017.05103
Okounkov, Andrei
2002
Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012
Okounkov, Andrei
2002
Multipoint series of Gromov-Witten invariants of $$\mathbb {CP}^1$$. Zbl 1016.14027
Getzler, E.; Okounkov, A.; Pandharipande, R.
2002
A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084
Okounkov, A. Yu.
2002
Infinite wedge and random partitions. Zbl 0986.05102
Okounkov, Andrei
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
2001
$$\text{SL}(2)$$ and $$z$$-measures. Zbl 0985.43007
Okounkov, Andrei
2001
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
2000
Toda equations for Hurwitz numbers. Zbl 0969.37033
Okounkov, Andrei
2000
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
2000
Random matrices and random permutations. Zbl 1018.15020
Okounkov, Andrei
2000
The character of the infinite wedge representation. Zbl 0978.17016
Bloch, Spencer; Okounkov, Andrei
2000
The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107
Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori
1998
Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004
Okounkov, Andrei; Olshanski, Grigori
1998
(Shifted) Macdonald polynomials: $$q$$-integral representation and combinatorial formula. Zbl 0897.05085
Okounkov, Andrei
1998
Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008
Okounkov, Andrei; Olshanski, Grigori
1998
$$BC$$-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005
Okounkov, Andrei; Vershik, Anatoly
1998
On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014
Okounkov, Andrei
1998
Multiplicities and Newton polytopes. Zbl 0920.20032
Okounkov, Andrei
1998
Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013
Okounkov, A.; Olshanski, G.
1997
Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012
Okounkov, Andrei
1997
Log-concavity of multiplicities with application to characters of $$U(\infty)$$. Zbl 0910.22011
Okounkov, Andrei
1997
On representations of the infinite symmetric group. Zbl 0959.20016
Okounkov, Andrei
1997
Note on the Hilbert polynomial of a spherical variety. Zbl 0928.14032
Okounkov, A. Yu.
1997
Proof of a conjecture of Goulden and Jackson. Zbl 0903.05017
Okounkov, Andrei
1997
A new approach to representation theory of symmetric groups. Zbl 0959.20014
Okounkov, Andrei; Vershik, Anatoly
1996
Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004
Okounkov, Andrei
1996
Quantum immanants and higher Capelli identities. Zbl 0864.17014
Okounkov, Andrei
1996
Young basis, Wick formula, and higher Capelli identities. Zbl 0878.17008
Okounkov, Andrei
1996
An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011
Vershik, A. M.; Okun&rsquo;kov, A. Yu.
1996
Representation of orbits in the form of a sum of elementary orbits. Zbl 0834.22014
Okun&rsquo;kov, A. Yu.
1994
all top 5

#### Cited by 1,730 Authors

 51 Borodin, Alexei 30 Ol’shanskiĭ, Grigoriĭ Iosifovich 29 Okun’kov, Andreĭ Yur’evich 29 Pandharipande, Rahul 27 Gorin, Vadim 27 Morozov, Alexei Yurievich 21 Petrov, Leonid 19 Mironov, Andrei D. 19 Tanzini, Alessandro 16 Nekrasov, Nikita Alexandrovich 15 Bonelli, Giulio 15 Vershik, Anatoliĭ Moiseevich 14 Adler, Mark 14 Corwin, Ivan 14 Harnad, John 14 Lerda, Alberto 14 Szabo, Richard J. 14 van Moerbeke, Pierre 13 Billó, Marco 13 Goulden, Ian P. 13 Johansson, Kurt 13 Shadrin, Sergey V. 12 Bufetov, Alekseĭ Igor’evich 12 Ferrari, Patrik Lino 12 Fulman, Jason E. 12 Klemm, Albrecht 12 Rains, Eric M. 12 Rimányi, Richárd 12 Toninelli, Fabio Lucio 12 Vafa, Cumrun 12 Varchenko, Alexander Nikolaevich 11 Kimura, Taro 11 Mariño, Marcos 11 Molev, Alexander I. 11 Reshetikhin, Nikolai Yu. 11 Takasaki, Kanehisa 11 Zabzine, Maxim 10 Baik, Jinho 10 Bourgine, Jean-Emile 10 Frau, Marialuisa 10 Han, Guo-Niu 10 Iqbal, Amer 10 Lee, Minho 10 Morales, Jose Francisco 9 Aganagic, Mina 9 Aggarwal, Amol 9 Betea, Dan 9 Bryan, Jim 9 Cirafici, Michele 9 Feĭgin, Boris L’vovich 9 Fucito, Francesco 9 Grassi, Alba 9 Liu, Chiu-Chu Melissa 9 Tarasov, Vitaly Olegovich 9 Toda, Yukinobu 8 Bertola, Marco 8 Bogolyubov, Nikolaĭ Mikhaĭlovich 8 Boutillier, Cédric 8 Bufetov, Aleksandr Igorevich 8 Diaconescu, Duiliu-Emanuel 8 Duits, Maurice 8 Féray, Valentin 8 Forrester, Peter J. 8 Huang, Minxin 8 Jackson, David M. 8 Kaveh, Kiumars 8 Kool, Martijn 8 Kuijlaars, Arno B. J. 8 Marshakov, Andrei V. 8 Maulik, Davesh 8 Nakatsu, Toshio 8 Procházka, Tomáš 8 Śniady, Piotr 8 Thomas, Richard Paul 8 Tseng, Hsian-Hua 8 Warnaar, S. Ole 8 Yamazaki, Masahito 8 Zenkevich, Yegor 7 Beccaria, Matteo 7 Bershteĭn, Mikhaĭl Aleksandrovich 7 Brini, Andrea 7 Cafasso, Mattia 7 Chen, Dawei 7 Chhita, Sunil 7 Cutkosky, Steven Dale 7 Gaiotto, Davide 7 Gavrylenko, Pavlo 7 Gholampour, Amin 7 Gorskiĭ, Aleksandr Sergeevich 7 Goujard, Elise 7 Gukov, Sergei 7 Jing, Naihuan 7 Kazaryan, Maxim Eduardovich 7 Kim, Hee-Cheol 7 Kim, Joonho 7 Koroteev, Peter 7 Küronya, Alex 7 Lassalle, Michel 7 Lewanski, Danilo 7 Litvinov, Alekseĭ Viktorovich ...and 1,630 more Authors
all top 5

#### Cited in 235 Serials

 288 Journal of High Energy Physics 161 Communications in Mathematical Physics 106 Advances in Mathematics 70 Letters in Mathematical Physics 60 Nuclear Physics. B 49 Journal of Algebra 43 Journal of Mathematical Physics 39 Selecta Mathematica. New Series 35 Journal of Algebraic Combinatorics 33 Journal of Geometry and Physics 33 The Annals of Probability 33 Duke Mathematical Journal 33 Transactions of the American Mathematical Society 33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 32 Probability Theory and Related Fields 31 Journal of Statistical Physics 30 Geometry & Topology 28 Inventiones Mathematicae 27 Journal of Mathematical Sciences (New York) 25 Mathematische Annalen 24 Functional Analysis and its Applications 24 Journal of the American Mathematical Society 23 Journal of Combinatorial Theory. Series A 19 Theoretical and Mathematical Physics 19 Compositio Mathematica 18 Annales Henri Poincaré 17 Advances in Applied Mathematics 16 The Ramanujan Journal 15 Annales de l’Institut Fourier 14 Mathematische Zeitschrift 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 14 Journal of Physics A: Mathematical and Theoretical 13 Bulletin of the American Mathematical Society. New Series 13 Annals of Combinatorics 13 Journal of Statistical Mechanics: Theory and Experiment 12 Proceedings of the American Mathematical Society 12 Séminaire Lotharingien de Combinatoire 11 Communications on Pure and Applied Mathematics 10 Journal für die Reine und Angewandte Mathematik 9 Discrete Mathematics 9 Journal of the European Mathematical Society (JEMS) 9 Forum of Mathematics, Sigma 8 Journal of Functional Analysis 8 Transformation Groups 8 Acta Mathematica Sinica. English Series 8 Random Matrices: Theory and Applications 7 International Journal of Modern Physics A 7 Geometriae Dedicata 7 European Journal of Combinatorics 7 Geometric and Functional Analysis. GAFA 7 Electronic Journal of Probability 7 Representation Theory 6 Communications in Algebra 6 Journal of Mathematical Analysis and Applications 6 Publications Mathématiques 6 Journal of Pure and Applied Algebra 6 Michigan Mathematical Journal 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Physica D 6 International Journal of Mathematics 6 Annals of Mathematics. Second Series 6 Japanese Journal of Mathematics. 3rd Series 6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 6 Arnold Mathematical Journal 6 Research in Number Theory 5 Physics Letters. B 5 Journal of Theoretical Probability 5 Algebras and Representation Theory 5 Proceedings of the Steklov Institute of Mathematics 5 Science China. Mathematics 5 Kyoto Journal of Mathematics 5 European Journal of Mathematics 4 Bulletin of the Australian Mathematical Society 4 Russian Mathematical Surveys 4 Acta Mathematica 4 Integral Equations and Operator Theory 4 International Journal of Algebra and Computation 4 Annales Mathématiques Blaise Pascal 4 The Electronic Journal of Combinatorics 4 Mathematical Physics, Analysis and Geometry 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Forum of Mathematics, Pi 4 Research in the Mathematical Sciences 4 Algebraic Combinatorics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Beiträge zur Algebra und Geometrie 3 Journal of Approximation Theory 3 Journal of the London Mathematical Society. Second Series 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Proceedings of the London Mathematical Society. Third Series 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Stochastic Processes and their Applications 3 Journal of Knot Theory and its Ramifications 3 Journal of Algebraic Geometry 3 Bernoulli 3 Foundations of Computational Mathematics 3 Probability Surveys 2 Modern Physics Letters A ...and 135 more Serials
all top 5

#### Cited in 56 Fields

 643 Algebraic geometry (14-XX) 613 Quantum theory (81-XX) 469 Combinatorics (05-XX) 340 Probability theory and stochastic processes (60-XX) 276 Statistical mechanics, structure of matter (82-XX) 178 Nonassociative rings and algebras (17-XX) 171 Group theory and generalizations (20-XX) 142 Special functions (33-XX) 125 Dynamical systems and ergodic theory (37-XX) 124 Linear and multilinear algebra; matrix theory (15-XX) 124 Relativity and gravitational theory (83-XX) 108 Number theory (11-XX) 106 Differential geometry (53-XX) 97 Several complex variables and analytic spaces (32-XX) 83 Manifolds and cell complexes (57-XX) 75 Associative rings and algebras (16-XX) 74 Partial differential equations (35-XX) 57 Convex and discrete geometry (52-XX) 54 Topological groups, Lie groups (22-XX) 53 Functions of a complex variable (30-XX) 47 Global analysis, analysis on manifolds (58-XX) 37 Operator theory (47-XX) 35 Commutative algebra (13-XX) 32 Abstract harmonic analysis (43-XX) 30 Algebraic topology (55-XX) 25 Mechanics of particles and systems (70-XX) 22 Ordinary differential equations (34-XX) 21 $$K$$-theory (19-XX) 20 Category theory; homological algebra (18-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Functional analysis (46-XX) 17 Statistics (62-XX) 14 Difference and functional equations (39-XX) 14 Numerical analysis (65-XX) 9 Computer science (68-XX) 8 Geometry (51-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Measure and integration (28-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.