Edit Profile (opens in new tab) Borodin, Alexei Co-Author Distance Author ID: borodin.alexei Published as: Borodin, Alexei; Borodin, A.; Borodin, A. M. more...less Further Spellings: Borodin, Aleksei Mikhailovich; Бородин Алексей Михайлович Homepage: http://math.mit.edu/directory/profile.php?pid=1222 External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: EMS Prize (2008) Documents Indexed: 148 Publications since 1995, including 2 Books and 13 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 61 Co-Authors with 122 Joint Publications 1,458 Co-Co-Authors all top 5 Co-Authors 25 single-authored 25 Ol’shanskiĭ, Grigoriĭ Iosifovich 23 Corwin, Ivan Z. 15 Ferrari, Patrik Lino 12 Gorin, Vadim 11 Petrov, Leonid 11 Wheeler, Michael 9 Bufetov, Alekseĭ Igor’evich 9 Sasamoto, Tomohiro 7 Aggarwal, Amol 4 Strahov, Eugene 3 Okun’kov, Andreĭ Yur’evich 3 Prahofer, Michael 3 Remenik, Daniel 3 Sinclair, Christopher D. 2 Abbasov, Əli Məmməd oğlu 2 Arinkin, Dima 2 Barraquand, Guillaume 2 Bufetov, Aleksandr Igorevich 2 Deift, Percy A. 2 Duits, Maurice 2 Guionnet, Alice 2 Kuan, Jeffrey 2 Rains, Eric M. 2 Toninelli, Fabio Lucio 2 Vető, Bálint 1 Adler, Mark 1 Aliev, Asaf A. 1 Baik, Jinho 1 Berggren, Tomas 1 Bogomyagkov, A. 1 Boyarchenko, Dmitriy 1 Diaconis, Persi Warren 1 Durian, Douglas J. 1 Forrester, Peter J. 1 Fulman, Jason E. 1 Gorin, V. E. 1 Ismagilov, Rais Sal’manovich 1 Kanzieper, Eugene 1 Khoroshkin, Sergey M. 1 Kirillov, Alexandre Aleksandrovich 1 Korotkikh, Sergei 1 Lohr, Matthew A. 1 Mamedov, Z. F. 1 Molchanov, Vladimir Fedorovich 1 Molev, Alexander I. 1 Nazarov, Maxim Leonidovich 1 Neretin, Yuriĭ Aleksandrovich 1 Nessonov, Nikolai I. 1 Novikov, Alexei 1 Péché, Sandrine 1 Poplavskyi, Mihail 1 Rozhkovskaya, Natasha 1 Serfaty, Sylvia 1 Shakirov, Shamil 1 Shlosman, Senya B. 1 Soshnikov, Alexander B. 1 Still, Tim 1 Streltsova, E. 1 Suidan, Toufic M. 1 Tribe, Roger P. 1 Tvaronavičienė, M. 1 van Moerbeke, Pierre 1 Vershik, Anatoliĭ Moiseevich 1 Vygodchikova, I. Yu. 1 Warren, Jon 1 Yakovenko, Ivan S. 1 Yodh, Arjun G. 1 Yunker, Peter J. 1 Zaboronski, Oleg V. all top 5 Serials 15 Communications in Mathematical Physics 8 Advances in Mathematics 7 Probability Theory and Related Fields 6 Communications on Pure and Applied Mathematics 6 Journal of Statistical Physics 6 Duke Mathematical Journal 5 IMRN. International Mathematics Research Notices 4 The Annals of Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Mathematical Sciences (New York) 3 Journal of Physics A: Mathematical and General 3 Selecta Mathematica. New Series 3 Moscow Mathematical Journal 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 Transactions of the American Mathematical Society 2 The Annals of Applied Probability 2 The Electronic Journal of Combinatorics 2 Electronic Journal of Probability 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Journal of Statistical Mechanics: Theory and Experiment 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Functional Analysis 1 Proceedings of the London Mathematical Society. Third Series 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 St. Petersburg Mathematical Journal 1 Mathematical Research Letters 1 Electronic Communications in Probability 1 Markov Processes and Related Fields 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 IMRP. International Mathematics Research Papers 1 Astérisque 1 Cambridge Studies in Advanced Mathematics 1 IAS/Park City Mathematics Series 1 Journal of Physics A: Mathematical and Theoretical 1 Applied and Computational Mathematics 1 Probability Surveys 1 Azerbaijan Journal of Mathematics 1 Forum of Mathematics, Pi 1 Probability and Mathematical Physics 1 Communications of the American Mathematical Society all top 5 Fields 99 Probability theory and stochastic processes (60-XX) 63 Statistical mechanics, structure of matter (82-XX) 30 Combinatorics (05-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 17 Special functions (33-XX) 9 Group theory and generalizations (20-XX) 8 Partial differential equations (35-XX) 8 Abstract harmonic analysis (43-XX) 7 Topological groups, Lie groups (22-XX) 7 Quantum theory (81-XX) 6 Difference and functional equations (39-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 3,955 times in 1,503 Documents Cited by ▼ Year ▼ Macdonald processes. Zbl 1291.82077 Borodin, Alexei; Corwin, Ivan 210 2014 Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061 Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori 163 2000 Fluctuation properties of the TASEP with periodic initial configuration. Zbl 1136.82028 Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael; Sasamoto, Tomohiro 131 2007 Anisotropic growth of random surfaces in \({2+1}\) dimensions. Zbl 1303.82015 Borodin, Alexei; Ferrari, Patrik L. 131 2014 Biorthogonal ensembles. Zbl 0948.82018 Borodin, Alexei 107 1999 Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017 Borodin, Alexei; Rains, Eric M. 98 2005 From duality to determinants for \(q\)-TASEP and ASEP. Zbl 1304.82048 Borodin, Alexei; Corwin, Ivan; Sasamoto, Tomohiro 98 2014 Free energy fluctuations for directed polymers in random media in 1+1 dimension. Zbl 1295.82035 Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik 89 2014 Large time asymptotics of growth models on space-like paths. I: Push ASEP. Zbl 1187.82084 Borodin, Alexei; Ferrari, Patrik L. 87 2008 Determinantal point processes. Zbl 1238.60055 Borodin, Alexei 82 2011 Stochastic six-vertex model. Zbl 1343.82013 Borodin, Alexei; Corwin, Ivan; Gorin, Vadim 80 2016 A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014 Borodin, Alexei; Okounkov, Andrei 77 2000 Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141 Borodin, Alexei; Petrov, Leonid 71 2018 Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003 Borodin, Alexei; Olshanski, Grigori 70 2005 Lectures on integrable probability. Zbl 1388.60157 Borodin, Alexei; Gorin, Vadim 62 2016 On a family of symmetric rational functions. Zbl 1355.05250 Borodin, Alexei 62 2017 Height fluctuations for the stationary KPZ equation. Zbl 1332.82068 Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik; Vető, Bálint 61 2015 Log-gamma polymer free energy fluctuations via a Fredholm determinant identity. Zbl 1479.82112 Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 61 2013 The Ginibre ensemble of real random matrices and its scaling limits. Zbl 1184.82004 Borodin, A.; Sinclair, C. D. 59 2009 Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023 Borodin, Alexei; Petrov, Leonid 59 2014 Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049 Borodin, Alexei; Olshanski, Grigori 58 2000 \(q\)-distributions on boxed plane partitions. Zbl 1205.82122 Borodin, Alexei; Gorin, Vadim; Rains, Eric M. 58 2010 Averages of characteristic polynomials in random matrix theory. Zbl 1155.15304 Borodin, A.; Strahov, E. 55 2006 Periodic Schur process and cylindric partitions. Zbl 1131.22003 Borodin, Alexei 49 2007 Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089 Borodin, Alexei; Deift, Percy 48 2002 Point processes and the infinite symmetric group. Zbl 1044.20501 Borodin, Alexei; Olshanski, Grigori 47 1998 Transition between Airy\(_1\) and Airy\(_2\) processes and TASEP fluctuations. Zbl 1214.82062 Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 47 2008 Airy kernel with two sets of parameters in directed percolation and random matrix theory. Zbl 1145.82021 Borodin, Alexei; Péché, Sandrine 46 2008 Infinite random matrices and ergodic measures. Zbl 0987.60020 Borodin, Alexei; Olshanski, Grigori 44 2001 General \(\beta\)-Jacobi corners process and the Gaussian free field. Zbl 1325.60076 Borodin, Alexei; Gorin, Vadim 44 2015 Fluctuations in the discrete TASEP with periodic initial configurations and the Airy\(_{1}\) process. Zbl 1136.82321 Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael 43 2007 Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP. Zbl 1201.82030 Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 40 2008 Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161 Borodin, Alexei; Petrov, Leonid 38 2016 Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process. Zbl 1434.60270 Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan; Wheeler, Michael 38 2018 Stochastic higher spin six vertex model and Macdonald measures. Zbl 1382.82029 Borodin, Alexei 36 2018 Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 35 2015 Schur dynamics of the Schur processes. Zbl 1234.60012 Borodin, Alexei 34 2011 Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 34 2015 Random surface growth with a wall and Plancherel measures for \(O (\infty )\). Zbl 1193.82013 Borodin, Alexei; Kuan, Jeffrey 33 2010 The ASEP and determinantal point processes. Zbl 1369.60031 Borodin, Alexei; Olshanski, Grigori 33 2017 Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036 Borodin, Alexei; Olshanski, Grigori 31 2009 The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131 Borodin, Alexei; Olshanski, Grigori 31 2012 Observables of Macdonald processes. Zbl 1331.05221 Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil 31 2016 Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149 Borodin, Alexei; Olshanski, Grigori 30 2012 Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008 Borodin, Alexei; Gorin, Vadim; Guionnet, Alice 30 2017 Discrete time \(q\)-TASEPs. Zbl 1310.82030 Borodin, Alexei; Corwin, Ivan 29 2015 Two speed TASEP. Zbl 1183.82062 Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 28 2009 Markov processes on partitions. Zbl 1105.60052 Borodin, Alexei; Olshanski, Grigori 28 2006 Random partitions and the gamma kernel. Zbl 1128.60301 Borodin, Alexei; Olshanski, Grigori 28 2005 Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010 Borodin, Alexei; Petrov, Leonid 27 2017 \(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005 Borodin, Alexei; Olshanski, Grigori 27 2005 Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Zbl 1153.60058 Borodin, Alexei; Kuan, Jeffrey 27 2008 Asymptotics of Plancherel-type random partitions. Zbl 1117.60051 Borodin, Alexei; Olshanski, Grigori 26 2007 Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082 Borodin, Alexei; Olshanski, Grigori 25 2000 On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292 Borodin, Alexei; Diaconis, Persi; Fulman, Jason 25 2010 Shuffling algorithm for boxed plane partitions. Zbl 1172.60020 Borodin, Alexei; Gorin, Vadim 24 2009 Representations of the infinite symmetric group. Zbl 1364.20001 Borodin, Alexei; Olshanski, Grigori 24 2016 Discrete gap probabilities and discrete Painlevé equations. Zbl 1034.39013 Borodin, Alexei 23 2003 Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Zbl 1033.60006 Borodin, Alexei; Forrester, Peter J. 23 2003 CLT for spectra of submatrices of Wigner random matrices. Zbl 1315.60005 Borodin, Alexei 23 2014 Renormalized energy concentration in random matrices. Zbl 1276.60007 Borodin, Alexei; Serfaty, Sylvia 23 2013 \(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013 Borodin, Alexei; Olshanski, Grigori 22 2001 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438 Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 22 2006 Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041 Borodin, Alexei; Olshanski, Grigori 21 2006 Directed random polymers via nested contour integrals. Zbl 1377.82050 Borodin, Alexei; Bufetov, Alexey; Corwin, Ivan 21 2016 Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007 Borodin, Alexei; Gorin, Vadim 20 2016 Half-space Macdonald processes. Zbl 1445.60071 Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan 20 2020 The Young bouquet and its boundary. Zbl 1320.05137 Borodin, Alexei; Olshanski, Grigori 20 2013 Color-position symmetry in interacting particle systems. Zbl 1484.60106 Borodin, Alexei; Bufetov, Alexey 20 2021 Limits of determinantal processes near a tacnode. Zbl 1208.82039 Borodin, Alexei; Duits, Maurice 19 2011 Markov processes of infinitely many nonintersecting random walks. Zbl 1278.60113 Borodin, Alexei; Gorin, Vadim 19 2013 Phase transitions in the ASEP and stochastic six-vertex model. Zbl 1466.60191 Aggarwal, Amol; Borodin, Alexei 17 2019 Meixner polynomials and random partitions. Zbl 1126.60006 Borodin, Alexei; Olshanski, Grigori 16 2006 Isomonodromy transformations of linear systems of difference equations. Zbl 1085.39001 Borodin, Alexei 16 2005 Riemann-Hilbert problem and the discrete Bessel kernel. Zbl 0964.39015 Borodin, Alexei 16 2000 Giambelli compatible point processes. Zbl 1108.05093 Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene 15 2006 Maximum of Dyson Brownian motion and non-colliding systems with a boundary. Zbl 1189.60169 Borodin, Alexei; Ferrari, Patrik L.; Prahofer, Michael; Sasamoto, Tomohiro; Warren, Jon 15 2009 Macdonald processes. Zbl 1304.82047 Borodin, A.; Corwin, I. 15 2014 Distribution of the first particle in discrete orthogonal polynomial ensembles. Zbl 1029.82016 Borodin, Alexei; Boyarchenko, Dmitriy 14 2003 Moments and Lyapunov exponents for the parabolic Anderson model. Zbl 1291.82078 Borodin, Alexei; Corwin, Ivan 14 2014 Gibbs ensembles of nonintersecting paths. Zbl 1193.82003 Borodin, Alexei; Shlosman, Senya 14 2010 Representation theory and random point processes. Zbl 1087.15025 Borodin, Alexei; Olshanski, Grigori 13 2005 Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074 Borodin, Alexei; Olshanski, Grigori 13 2013 A stochastic telegraph equation from the six-vertex model. Zbl 1458.60056 Borodin, Alexei; Gorin, Vadim 13 2019 Janossy densities. I: Determinantal ensembles. Zbl 1070.15020 Borodin, Alexei; Soshnikov, Alexander 12 2003 Limit Jordan normal form of large triangular matrices over a finite field. Zbl 0860.15009 Borodin, A. M. 12 1995 Multiplicative functionals on ensembles of non-intersecting paths. Zbl 1357.60012 Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 12 2015 Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013 Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori 12 2015 Observables of coloured stochastic vertex models and their polymer limits. Zbl 1487.60176 Borodin, Alexei; Wheeler, Michael 12 2020 Longest increasing subsequences of random colored permutations. Zbl 0923.05001 Borodin, Alexei 11 1999 Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. Zbl 1322.60062 Borodin, Alexei; Bufetov, Alexey 11 2014 Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. Zbl 1360.82063 Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio 11 2017 Spin \(q\)-Whittaker polynomials. Zbl 1460.81033 Borodin, Alexei; Wheeler, Michael 11 2021 Random tilings and Markov chains for interlacing particles. Zbl 1401.05061 Borodin, A.; Ferrari, P. L. 11 2018 Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes. Zbl 1404.60147 Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik L. 11 2018 Inhomogeneous exponential jump model. Zbl 1412.82027 Borodin, Alexei; Petrov, Leonid 10 2018 CLT for spectra of submatrices of Wigner random matrices. II: Stochastic evolution. Zbl 1330.60013 Borodin, Alexei 9 2014 Symmetric elliptic functions, IRF models, and dynamic exclusion processes. Zbl 1465.60083 Borodin, Alexei 9 2020 Harmonic analysis on the infinite symmetric group, and the Whittaker kernel. Zbl 0988.43010 Borodin, A. M. 8 2001 Duality of orthogonal polynomials on a finite set. Zbl 1030.33005 Borodin, Alexei 8 2002 Free fermion six vertex model: symmetric functions and random domino tilings. Zbl 1512.05390 Aggarwal, Amol; Borodin, Alexei; Petrov, Leonid; Wheeler, Michael 5 2023 Biased \(2 \times 2\) periodic Aztec diamond and an elliptic curve. Zbl 07735851 Borodin, Alexei; Duits, Maurice 3 2023 Colored fermionic vertex models and symmetric functions. Zbl 1522.05495 Aggarwal, Amol; Borodin, Alexei; Wheeler, Michael 2 2023 Coloured stochastic vertex models and their spectral theory. Zbl 07649036 Borodin, Alexei; Wheeler, Michael 7 2022 Shift-invariance for vertex models and polymers. Zbl 07730900 Borodin, Alexei; Gorin, Vadim; Wheeler, Michael 6 2022 Nonsymmetric Macdonald polynomials via integrable vertex models. Zbl 1506.05209 Borodin, Alexei; Wheeler, Michael 4 2022 Estimation and prediction dynamics of the spread of the coronavirus infection using minimax approximation criterion and polynomial splines. Zbl 07601679 Abbasov, A. M.; Mamedov, Z. F.; Tvaronavičienė, M.; Borodin, A.; Vygodchikova, I. Y.; Aliev, A. A. 1 2022 Color-position symmetry in interacting particle systems. Zbl 1484.60106 Borodin, Alexei; Bufetov, Alexey 20 2021 Spin \(q\)-Whittaker polynomials. Zbl 1460.81033 Borodin, Alexei; Wheeler, Michael 11 2021 Half-space Macdonald processes. Zbl 1445.60071 Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan 20 2020 Observables of coloured stochastic vertex models and their polymer limits. Zbl 1487.60176 Borodin, Alexei; Wheeler, Michael 12 2020 Symmetric elliptic functions, IRF models, and dynamic exclusion processes. Zbl 1465.60083 Borodin, Alexei 9 2020 Product matrix processes as limits of random plane partitions. Zbl 1456.60014 Borodin, Alexei; Gorin, Vadim; Strahov, Eugene 6 2020 Dynamic ASEP, duality, and continuous \(q^{-1}\)-Hermite polynomials. Zbl 1455.60129 Borodin, Alexei; Corwin, Ivan 5 2020 Phase transitions in the ASEP and stochastic six-vertex model. Zbl 1466.60191 Aggarwal, Amol; Borodin, Alexei 17 2019 A stochastic telegraph equation from the six-vertex model. Zbl 1458.60056 Borodin, Alexei; Gorin, Vadim 13 2019 Stochasticization of solutions to the Yang-Baxter equation. Zbl 1439.81057 Aggarwal, Amol; Borodin, Alexei; Bufetov, Alexey 7 2019 Correction to: “Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz”. Zbl 1421.82008 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 3 2019 Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141 Borodin, Alexei; Petrov, Leonid 71 2018 Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process. Zbl 1434.60270 Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan; Wheeler, Michael 38 2018 Stochastic higher spin six vertex model and Macdonald measures. Zbl 1382.82029 Borodin, Alexei 36 2018 Random tilings and Markov chains for interlacing particles. Zbl 1401.05061 Borodin, A.; Ferrari, P. L. 11 2018 Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes. Zbl 1404.60147 Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik L. 11 2018 Inhomogeneous exponential jump model. Zbl 1412.82027 Borodin, Alexei; Petrov, Leonid 10 2018 Two-dimensional anisotropic KPZ growth and limit shapes. Zbl 1457.82283 Borodin, Alexei; Toninelli, Fabio 4 2018 On a family of symmetric rational functions. Zbl 1355.05250 Borodin, Alexei 62 2017 The ASEP and determinantal point processes. Zbl 1369.60031 Borodin, Alexei; Olshanski, Grigori 33 2017 Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008 Borodin, Alexei; Gorin, Vadim; Guionnet, Alice 30 2017 Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010 Borodin, Alexei; Petrov, Leonid 27 2017 Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. Zbl 1360.82063 Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio 11 2017 An irreversible local Markov chain that preserves the six vertex model on a torus. Zbl 1361.60059 Borodin, Alexei; Bufetov, Alexey 8 2017 Stochastic six-vertex model. Zbl 1343.82013 Borodin, Alexei; Corwin, Ivan; Gorin, Vadim 80 2016 Lectures on integrable probability. Zbl 1388.60157 Borodin, Alexei; Gorin, Vadim 62 2016 Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161 Borodin, Alexei; Petrov, Leonid 38 2016 Observables of Macdonald processes. Zbl 1331.05221 Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil 31 2016 Representations of the infinite symmetric group. Zbl 1364.20001 Borodin, Alexei; Olshanski, Grigori 24 2016 Directed random polymers via nested contour integrals. Zbl 1377.82050 Borodin, Alexei; Bufetov, Alexey; Corwin, Ivan 21 2016 Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007 Borodin, Alexei; Gorin, Vadim 20 2016 Erratum to: “The Ginibre ensemble of real random matrices and its scaling limits”. Zbl 1425.82003 Borodin, Alexei; Poplavskyi, Mihail; Sinclair, Christopher D.; Tribe, Roger; Zaboronski, Oleg 5 2016 Height fluctuations for the stationary KPZ equation. Zbl 1332.82068 Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik; Vető, Bálint 61 2015 General \(\beta\)-Jacobi corners process and the Gaussian free field. Zbl 1325.60076 Borodin, Alexei; Gorin, Vadim 44 2015 Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 35 2015 Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 34 2015 Discrete time \(q\)-TASEPs. Zbl 1310.82030 Borodin, Alexei; Corwin, Ivan 29 2015 Multiplicative functionals on ensembles of non-intersecting paths. Zbl 1357.60012 Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 12 2015 Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013 Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori 12 2015 A classical limit of Noumi’s \(q\)-integral operator. Zbl 1329.05294 Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 2 2015 Macdonald processes. Zbl 1291.82077 Borodin, Alexei; Corwin, Ivan 210 2014 Anisotropic growth of random surfaces in \({2+1}\) dimensions. Zbl 1303.82015 Borodin, Alexei; Ferrari, Patrik L. 131 2014 From duality to determinants for \(q\)-TASEP and ASEP. Zbl 1304.82048 Borodin, Alexei; Corwin, Ivan; Sasamoto, Tomohiro 98 2014 Free energy fluctuations for directed polymers in random media in 1+1 dimension. Zbl 1295.82035 Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik 89 2014 Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023 Borodin, Alexei; Petrov, Leonid 59 2014 CLT for spectra of submatrices of Wigner random matrices. Zbl 1315.60005 Borodin, Alexei 23 2014 Macdonald processes. Zbl 1304.82047 Borodin, A.; Corwin, I. 15 2014 Moments and Lyapunov exponents for the parabolic Anderson model. Zbl 1291.82078 Borodin, Alexei; Corwin, Ivan 14 2014 Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. Zbl 1322.60062 Borodin, Alexei; Bufetov, Alexey 11 2014 CLT for spectra of submatrices of Wigner random matrices. II: Stochastic evolution. Zbl 1330.60013 Borodin, Alexei 9 2014 Integrable probability. Zbl 1373.60153 Borodin, Alexei 4 2014 Log-gamma polymer free energy fluctuations via a Fredholm determinant identity. Zbl 1479.82112 Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 61 2013 Renormalized energy concentration in random matrices. Zbl 1276.60007 Borodin, Alexei; Serfaty, Sylvia 23 2013 The Young bouquet and its boundary. Zbl 1320.05137 Borodin, Alexei; Olshanski, Grigori 20 2013 Markov processes of infinitely many nonintersecting random walks. Zbl 1278.60113 Borodin, Alexei; Gorin, Vadim 19 2013 Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074 Borodin, Alexei; Olshanski, Grigori 13 2013 A CLT for Plancherel representations of the infinite-dimensional unitary group. Zbl 1278.60045 Borodin, A.; Bufetov, A. 3 2013 The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131 Borodin, Alexei; Olshanski, Grigori 31 2012 Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149 Borodin, Alexei; Olshanski, Grigori 30 2012 Determinantal point processes. Zbl 1238.60055 Borodin, Alexei 82 2011 Schur dynamics of the Schur processes. Zbl 1234.60012 Borodin, Alexei 34 2011 Limits of determinantal processes near a tacnode. Zbl 1208.82039 Borodin, Alexei; Duits, Maurice 19 2011 \(q\)-distributions on boxed plane partitions. Zbl 1205.82122 Borodin, Alexei; Gorin, Vadim; Rains, Eric M. 58 2010 Random surface growth with a wall and Plancherel measures for \(O (\infty )\). Zbl 1193.82013 Borodin, Alexei; Kuan, Jeffrey 33 2010 On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292 Borodin, Alexei; Diaconis, Persi; Fulman, Jason 25 2010 Gibbs ensembles of nonintersecting paths. Zbl 1193.82003 Borodin, Alexei; Shlosman, Senya 14 2010 The Ginibre ensemble of real random matrices and its scaling limits. Zbl 1184.82004 Borodin, A.; Sinclair, C. D. 59 2009 Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036 Borodin, Alexei; Olshanski, Grigori 31 2009 Two speed TASEP. Zbl 1183.82062 Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 28 2009 Shuffling algorithm for boxed plane partitions. Zbl 1172.60020 Borodin, Alexei; Gorin, Vadim 24 2009 Maximum of Dyson Brownian motion and non-colliding systems with a boundary. Zbl 1189.60169 Borodin, Alexei; Ferrari, Patrik L.; Prahofer, Michael; Sasamoto, Tomohiro; Warren, Jon 15 2009 Correlation kernels for discrete symplectic and orthogonal ensembles. Zbl 1190.82005 Borodin, Alexei; Strahov, Eugene 6 2009 Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure. Zbl 1456.82714 Borodin, Alexei; Ferrari, Patrik L. 3 2009 \(\tau \)-function of discrete isomonodromy transformations and probability. Zbl 1210.14036 Arinkin, D.; Borodin, A. 2 2009 Large time asymptotics of growth models on space-like paths. I: Push ASEP. Zbl 1187.82084 Borodin, Alexei; Ferrari, Patrik L. 87 2008 Transition between Airy\(_1\) and Airy\(_2\) processes and TASEP fluctuations. Zbl 1214.82062 Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 47 2008 Airy kernel with two sets of parameters in directed percolation and random matrix theory. Zbl 1145.82021 Borodin, Alexei; Péché, Sandrine 46 2008 Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP. Zbl 1201.82030 Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 40 2008 Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Zbl 1153.60058 Borodin, Alexei; Kuan, Jeffrey 27 2008 Loop-free Markov chains as determinantal point processes. Zbl 1186.60066 Borodin, Alexei 2 2008 Fluctuation properties of the TASEP with periodic initial configuration. Zbl 1136.82028 Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael; Sasamoto, Tomohiro 131 2007 Periodic Schur process and cylindric partitions. Zbl 1131.22003 Borodin, Alexei 49 2007 Fluctuations in the discrete TASEP with periodic initial configurations and the Airy\(_{1}\) process. Zbl 1136.82321 Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael 43 2007 Asymptotics of Plancherel-type random partitions. Zbl 1117.60051 Borodin, Alexei; Olshanski, Grigori 26 2007 A note on the Pfaffian integration theorem. Zbl 1122.81033 Borodin, Alexei; Kanzieper, Eugene 3 2007 Averages of characteristic polynomials in random matrix theory. Zbl 1155.15304 Borodin, A.; Strahov, E. 55 2006 Markov processes on partitions. Zbl 1105.60052 Borodin, Alexei; Olshanski, Grigori 28 2006 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438 Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 22 2006 Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041 Borodin, Alexei; Olshanski, Grigori 21 2006 Meixner polynomials and random partitions. Zbl 1126.60006 Borodin, Alexei; Olshanski, Grigori 16 2006 Giambelli compatible point processes. Zbl 1108.05093 Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene 15 2006 Moduli spaces of \(d\)-connections and difference Painlevé equations. Zbl 1109.39019 Arinkin, D.; Borodin, A. 8 2006 Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017 Borodin, Alexei; Rains, Eric M. 98 2005 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,123 Authors 81 Borodin, Alexei 53 Corwin, Ivan Z. 45 Forrester, Peter J. 42 Ferrari, Patrik Lino 36 Ol’shanskiĭ, Grigoriĭ Iosifovich 32 Gorin, Vadim 32 Petrov, Leonid 26 Sasamoto, Tomohiro 21 Johansson, Kurt 21 Kuijlaars, Arno B. J. 21 Quastel, Jeremy 20 Bufetov, Alekseĭ Igor’evich 18 Baik, Jinho 18 Bufetov, Aleksandr Igorevich 17 Le Doussal, Pierre 17 Remenik, Daniel 16 Adler, Mark 16 Akemann, Gernot 16 Assiotis, Theodoros 16 Duits, Maurice 16 van Moerbeke, Pierre 15 Barraquand, Guillaume 15 Strahov, Eugene 14 Zhang, Lun 13 Betea, Dan 13 Dimitrov, Evgeni I. 13 Fulman, Jason E. 13 Imamura, Takashi 13 Kieburg, Mario 13 Kuan, Jeffrey 12 Wang, Dong 11 Aggarwal, Amol 11 Chhita, Sunil 11 Katori, Makoto 11 Nejjar, Peter 11 Schütz, Gunter M. 11 Wheeler, Michael 10 Charlier, Christophe 10 Claeys, Tom 10 Cuenca, Cesar 10 Diaconis, Persi Warren 10 Fyodorov, Yan V. 10 Ghosal, Promit 10 Giardinà, Cristian 10 Liechty, Karl 10 Neretin, Yuriĭ Aleksandrovich 10 O’Connell, Neil 10 Schehr, Grégory 10 Seppäläinen, Timo 10 Tracy, Craig Arnold 10 van Diejen, Jan Felipe 10 Widom, Harold 9 Cipolloni, Giorgio 9 Hammond, Alan 9 Liu, Dangzheng 9 Motegi, Kohei 9 Qiu, Yanqi 9 Toninelli, Fabio Lucio 8 Carinci, Gioia 8 Corteel, Sylvie 8 Emsiz, Erdal 8 Erdős, László 8 Ganguly, Shirshendu 8 Krajenbrink, Alexandre 8 Lee, Eunghyun 8 Li, Shihao 8 Liu, Zhipeng 8 Serfaty, Sylvia 8 Sinclair, Christopher D. 8 Spohn, Herbert 8 Tierz, Miguel 8 Tsai, Li-cheng 8 Vershik, Anatoliĭ Moiseevich 7 Ahn, Andrew C. 7 Bouttier, Jérémie 7 Cafasso, Mattia 7 Deift, Percy A. 7 Delvaux, Steven 7 Dołęga, Maciej 7 Gu, Yu 7 Lambert, Gaultier 7 Lin, Yier 7 Majumdar, Satya N. 7 Pak, Igor 7 Rains, Eric M. 7 Schröder, Dominik 7 Scrimshaw, Travis 7 Witte, Nicholas S. 7 Xu, Shuaixia 7 Zygouras, Nikolaos 6 Basu, Riddhipratim 6 Bisi, Elia 6 Byun, Sung-Soo 6 FitzGerald, Will 6 Hardy, Adrien 6 Ipsen, Jesper R. 6 Its, Alexander Rudolfovich 6 Kösters, Holger 6 Lisovyy, Oleg 6 Martínez-Finkelshtein, Andrei ...and 1,023 more Authors all top 5 Cited in 196 Serials 114 Communications in Mathematical Physics 107 Journal of Statistical Physics 62 Probability Theory and Related Fields 61 The Annals of Probability 57 Journal of Mathematical Physics 57 Journal of Physics A: Mathematical and Theoretical 51 Electronic Journal of Probability 48 Advances in Mathematics 42 Annales de l’Institut Henri Poincaré. 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Académie des Sciences, Paris 3 Complex Analysis and Operator Theory 3 Annales Henri Lebesgue 2 Arkiv för Matematik 2 Mathematics of Computation 2 American Journal of Mathematics 2 The Annals of Statistics 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 European Journal of Combinatorics 2 Statistical Science 2 Queueing Systems 2 Forum Mathematicum 2 Proceedings of the National Academy of Sciences of the United States of America ...and 96 more Serials all top 5 Cited in 56 Fields 963 Probability theory and stochastic processes (60-XX) 594 Statistical mechanics, structure of matter (82-XX) 322 Linear and multilinear algebra; matrix theory (15-XX) 283 Combinatorics (05-XX) 186 Special functions (33-XX) 139 Quantum theory (81-XX) 116 Partial differential equations (35-XX) 74 Group theory and generalizations (20-XX) 74 Dynamical systems and ergodic theory (37-XX) 65 Operator theory (47-XX) 55 Ordinary differential equations (34-XX) 53 Nonassociative rings and algebras (17-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 48 Topological groups, Lie groups (22-XX) 47 Statistics (62-XX) 43 Algebraic geometry (14-XX) 43 Functional analysis (46-XX) 40 Number theory (11-XX) 39 Functions of a complex variable (30-XX) 36 Abstract harmonic analysis (43-XX) 28 Difference and functional equations (39-XX) 24 Associative rings and algebras (16-XX) 24 Numerical analysis (65-XX) 17 Approximations and expansions (41-XX) 16 Measure and integration (28-XX) 16 Convex and discrete geometry (52-XX) 15 Potential theory (31-XX) 15 Integral transforms, operational calculus (44-XX) 14 Integral equations (45-XX) 12 Biology and other natural sciences (92-XX) 11 Computer science (68-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 8 Relativity and gravitational theory (83-XX) 7 History and biography (01-XX) 7 Commutative algebra (13-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Real functions (26-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Fluid mechanics (76-XX) 5 Differential geometry (53-XX) 4 Category theory; homological algebra (18-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 \(K\)-theory (19-XX) 3 Manifolds and cell complexes (57-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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