Edit Profile (opens in new tab) Okun’kov, Andreĭ Yur’evich Co-Author Distance Author ID: okounkov.andrei-yuryevich 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. more...less 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) Documents Indexed: 102 Publications since 1994, including 1 Book and 11 Additional arXiv Preprints 1 Further Contribution Biographic References: 6 Publications Co-Authors: 64 Co-Authors with 59 Joint Publications 2,483 Co-Co-Authors 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. all top 5 Serials 6 Inventiones Mathematicae 5 Russian Mathematical Surveys 5 IMRN. International Mathematics Research Notices 4 Advances in Mathematics 4 Functional Analysis and its Applications 4 Journal of the American Mathematical Society 4 Transformation Groups 4 Moscow Mathematical Journal 3 Communications in Mathematical Physics 3 Compositio Mathematica 3 Mathematical Research Letters 3 Annals of Mathematics. Second Series 2 Letters in Mathematical Physics 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 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 Forum of Mathematics, Pi 1 Algebraic Geometry all top 5 Fields 46 Algebraic geometry (14-XX) 23 Combinatorics (05-XX) 14 Group theory and generalizations (20-XX) 12 Special functions (33-XX) 11 Nonassociative rings and algebras (17-XX) 11 Probability theory and stochastic processes (60-XX) 11 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 9 Statistical mechanics, structure of matter (82-XX) 5 \(K\)-theory (19-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-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 Algebraic topology (55-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 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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