Edit Profile (opens in new tab) Borodin, Alexei Compute Distance To: Compute Author ID: borodin.alexei Published as: Borodin, Alexei; Borodin, A.; Borodin, A. M. 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 Awards: EMS Prize (2008) Documents Indexed: 126 Publications since 1995, including 1 Book 1 Contribution as Editor Co-Authors: 53 Co-Authors with 104 Joint Publications 1,213 Co-Co-Authors all top 5 Co-Authors 23 single-authored 24 Ol’shanskiĭ, Grigoriĭ Iosifovich 23 Corwin, Ivan Z. 14 Ferrari, Patrik Lino 11 Gorin, Vadim 9 Petrov, Leonid 9 Sasamoto, Tomohiro 7 Bufetov, Alekseĭ Igor’evich 4 Strahov, Eugene 3 Okun’kov, Andreĭ Yur’evich 3 Prahofer, Michael 3 Remenik, Daniel 3 Wheeler, Michael 2 Aggarwal, Amol 2 Arinkin, Dima 2 Barraquand, Guillaume 2 Bufetov, Aleksandr Igorevich 2 Deift, Percy A. 2 Guionnet, Alice 2 Kuan, Jeffrey 2 Rains, Eric M. 2 Sinclair, Christopher D. 2 Toninelli, Fabio Lucio 2 Vető, Bálint 1 Adler, Mark 1 Baik, Jinho 1 Boyarchenko, Dmitriy 1 Diaconis, Persi Warren 1 Duits, Maurice 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 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 Serfaty, Sylvia 1 Shakirov, Shamil 1 Shlosman, Senya B. 1 Soshnikov, Alexander B. 1 Suidan, Toufic M. 1 Tribe, Roger P. 1 van Moerbeke, Pierre 1 Vershik, Anatoliĭ Moiseevich 1 Warren, Jon 1 Zaboronski, Oleg V. all top 5 Serials 15 Communications in Mathematical Physics 8 Advances in Mathematics 6 Communications on Pure and Applied Mathematics 6 Journal of Statistical Physics 6 Duke Mathematical Journal 6 Probability Theory and Related Fields 4 The Annals of Probability 4 IMRN. International Mathematics Research Notices 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 Moscow Mathematical Journal 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 The Annals of Applied Probability 2 The Electronic Journal of Combinatorics 2 Selecta Mathematica. New Series 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 Transactions of the American Mathematical Society 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 Cambridge Studies in Advanced Mathematics 1 IAS/Park City Mathematics Series 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Forum of Mathematics, Pi 1 Probability and Mathematical Physics all top 5 Fields 90 Probability theory and stochastic processes (60-XX) 59 Statistical mechanics, structure of matter (82-XX) 25 Combinatorics (05-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 17 Special functions (33-XX) 8 Partial differential equations (35-XX) 8 Abstract harmonic analysis (43-XX) 7 Topological groups, Lie groups (22-XX) 6 Group theory and generalizations (20-XX) 6 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Associative rings and algebras (16-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-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 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 Geometry (51-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 3,089 times in 1,168 Documents Cited by ▼ Year ▼ Macdonald processes. Zbl 1291.82077Borodin, Alexei; Corwin, Ivan 149 2014 Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori 135 2000 Fluctuation properties of the TASEP with periodic initial configuration. Zbl 1136.82028Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael; Sasamoto, Tomohiro 110 2007 Anisotropic growth of random surfaces in \({2+1}\) dimensions. Zbl 1303.82015Borodin, Alexei; Ferrari, Patrik L. 109 2014 Biorthogonal ensembles. Zbl 0948.82018Borodin, Alexei 92 1999 Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017Borodin, Alexei; Rains, Eric M. 85 2005 From duality to determinants for \(q\)-TASEP and ASEP. Zbl 1304.82048Borodin, Alexei; Corwin, Ivan; Sasamoto, Tomohiro 81 2014 Large time asymptotics of growth models on space-like paths. I: Push ASEP. Zbl 1187.82084Borodin, Alexei; Ferrari, Patrik L. 72 2008 Free energy fluctuations for directed polymers in random media in 1+1 dimension. Zbl 1295.82035Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik 71 2014 Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003Borodin, Alexei; Olshanski, Grigori 62 2005 A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014Borodin, Alexei; Okounkov, Andrei 60 2000 Stochastic six-vertex model. Zbl 1343.82013Borodin, Alexei; Corwin, Ivan; Gorin, Vadim 59 2016 Determinantal point processes. Zbl 1238.60055Borodin, Alexei 55 2011 Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141Borodin, Alexei; Petrov, Leonid 51 2018 Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023Borodin, Alexei; Petrov, Leonid 50 2014 Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049Borodin, Alexei; Olshanski, Grigori 49 2000 Log-gamma polymer free energy fluctuations via a Fredholm determinant identity. Zbl 1479.82112Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 49 2013 \(q\)-distributions on boxed plane partitions. Zbl 1205.82122Borodin, Alexei; Gorin, Vadim; Rains, Eric M. 48 2010 Lectures on integrable probability. Zbl 1388.60157Borodin, Alexei; Gorin, Vadim 48 2016 On a family of symmetric rational functions. Zbl 1355.05250Borodin, Alexei 47 2017 Height fluctuations for the stationary KPZ equation. Zbl 1332.82068Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik; Vető, Bálint 44 2015 Averages of characteristic polynomials in random matrix theory. Zbl 1155.15304Borodin, A.; Strahov, E. 43 2006 The Ginibre ensemble of real random matrices and its scaling limits. Zbl 1184.82004Borodin, A.; Sinclair, C. D. 42 2009 Transition between Airy\(_1\) and Airy\(_2\) processes and TASEP fluctuations. Zbl 1214.82062Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 42 2008 Airy kernel with two sets of parameters in directed percolation and random matrix theory. Zbl 1145.82021Borodin, Alexei; Péché, Sandrine 38 2008 Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089Borodin, Alexei; Deift, Percy 37 2002 Point processes and the infinite symmetric group. Zbl 1044.20501Borodin, Alexei; Olshanski, Grigori 34 1998 General \(\beta\)-Jacobi corners process and the Gaussian free field. Zbl 1325.60076Borodin, Alexei; Gorin, Vadim 33 2015 Infinite random matrices and ergodic measures. Zbl 0987.60020Borodin, Alexei; Olshanski, Grigori 33 2001 Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161Borodin, Alexei; Petrov, Leonid 32 2016 Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 32 2015 Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP. Zbl 1201.82030Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 32 2008 Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 31 2015 Schur dynamics of the Schur processes. Zbl 1234.60012Borodin, Alexei 31 2011 Periodic Schur process and cylindric partitions. Zbl 1131.22003Borodin, Alexei 31 2007 Random surface growth with a wall and Plancherel measures for \(O (\infty )\). Zbl 1193.82013Borodin, Alexei; Kuan, Jeffrey 28 2010 Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149Borodin, Alexei; Olshanski, Grigori 27 2012 Markov processes on partitions. Zbl 1105.60052Borodin, Alexei; Olshanski, Grigori 27 2006 Fluctuations in the discrete TASEP with periodic initial configurations and the Airy\(_{1}\) process. Zbl 1136.82321Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael 27 2007 Two speed TASEP. Zbl 1183.82062Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 27 2009 The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131Borodin, Alexei; Olshanski, Grigori 26 2012 Discrete time \(q\)-TASEPs. Zbl 1310.82030Borodin, Alexei; Corwin, Ivan 25 2015 Stochastic higher spin six vertex model and Macdonald measures. Zbl 1382.82029Borodin, Alexei 25 2018 The ASEP and determinantal point processes. Zbl 1369.60031Borodin, Alexei; Olshanski, Grigori 24 2017 Observables of Macdonald processes. Zbl 1331.05221Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil 24 2016 Shuffling algorithm for boxed plane partitions. Zbl 1172.60020Borodin, Alexei; Gorin, Vadim 24 2009 \(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005Borodin, Alexei; Olshanski, Grigori 24 2005 Asymptotics of Plancherel-type random partitions. Zbl 1117.60051Borodin, Alexei; Olshanski, Grigori 24 2007 Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082Borodin, Alexei; Olshanski, Grigori 23 2000 Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036Borodin, Alexei; Olshanski, Grigori 23 2009 Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process. Zbl 1434.60270Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan; Wheeler, Michael 23 2018 Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Zbl 1153.60058Borodin, Alexei; Kuan, Jeffrey 23 2008 Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010Borodin, Alexei; Petrov, Leonid 22 2017 Random partitions and the gamma kernel. Zbl 1128.60301Borodin, Alexei; Olshanski, Grigori 22 2005 Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041Borodin, Alexei; Olshanski, Grigori 20 2006 On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292Borodin, Alexei; Diaconis, Persi; Fulman, Jason 20 2010 \(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013Borodin, Alexei; Olshanski, Grigori 20 2001 Renormalized energy concentration in random matrices. Zbl 1276.60007Borodin, Alexei; Serfaty, Sylvia 19 2013 The Young bouquet and its boundary. Zbl 1320.05137Borodin, Alexei; Olshanski, Grigori 19 2013 CLT for spectra of submatrices of Wigner random matrices. Zbl 1315.60005Borodin, Alexei 18 2014 Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008Borodin, Alexei; Gorin, Vadim; Guionnet, Alice 18 2017 Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Zbl 1033.60006Borodin, Alexei; Forrester, Peter J. 17 2003 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 17 2006 Discrete gap probabilities and discrete Painlevé equations. Zbl 1034.39013Borodin, Alexei 16 2003 Limits of determinantal processes near a tacnode. Zbl 1208.82039Borodin, Alexei; Duits, Maurice 15 2011 Representations of the infinite symmetric group. Zbl 1364.20001Borodin, Alexei; Olshanski, Grigori 15 2016 Isomonodromy transformations of linear systems of difference equations. Zbl 1085.39001Borodin, Alexei 15 2005 Directed random polymers via nested contour integrals. Zbl 1377.82050Borodin, Alexei; Bufetov, Alexey; Corwin, Ivan 14 2016 Markov processes of infinitely many nonintersecting random walks. Zbl 1278.60113Borodin, Alexei; Gorin, Vadim 14 2013 Riemann-Hilbert problem and the discrete Bessel kernel. Zbl 0964.39015Borodin, Alexei 14 2000 Maximum of Dyson Brownian motion and non-colliding systems with a boundary. Zbl 1189.60169Borodin, Alexei; Ferrari, Patrik L.; Prahofer, Michael; Sasamoto, Tomohiro; Warren, Jon 14 2009 Meixner polynomials and random partitions. Zbl 1126.60006Borodin, Alexei; Olshanski, Grigori 14 2006 Phase transitions in the ASEP and stochastic six-vertex model. Zbl 1466.60191Aggarwal, Amol; Borodin, Alexei 13 2019 Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007Borodin, Alexei; Gorin, Vadim 13 2016 Distribution of the first particle in discrete orthogonal polynomial ensembles. Zbl 1029.82016Borodin, Alexei; Boyarchenko, Dmitriy 13 2003 Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori 12 2015 Giambelli compatible point processes. Zbl 1108.05093Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene 12 2006 Moments and Lyapunov exponents for the parabolic Anderson model. Zbl 1291.82078Borodin, Alexei; Corwin, Ivan 12 2014 Janossy densities. I: Determinantal ensembles. Zbl 1070.15020Borodin, Alexei; Soshnikov, Alexander 12 2003 Representation theory and random point processes. Zbl 1087.15025Borodin, Alexei; Olshanski, Grigori 12 2005 Macdonald processes. Zbl 1304.82047Borodin, A.; Corwin, I. 11 2014 Limit Jordan normal form of large triangular matrices over a finite field. Zbl 0860.15009Borodin, A. M. 11 1995 Half-space Macdonald processes. Zbl 1445.60071Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan 11 2020 Gibbs ensembles of nonintersecting paths. Zbl 1193.82003Borodin, Alexei; Shlosman, Senya 10 2010 Longest increasing subsequences of random colored permutations. Zbl 0923.05001Borodin, Alexei 10 1999 Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074Borodin, Alexei; Olshanski, Grigori 9 2013 Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. Zbl 1322.60062Borodin, Alexei; Bufetov, Alexey 9 2014 Harmonic analysis on the infinite symmetric group, and the Whittaker kernel. Zbl 0988.43010Borodin, A. M. 9 2001 Multiplicative functionals on ensembles of non-intersecting paths. Zbl 1357.60012Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 8 2015 Inhomogeneous exponential jump model. Zbl 1412.82027Borodin, Alexei; Petrov, Leonid 8 2018 Color-position symmetry in interacting particle systems. Zbl 07367518Borodin, Alexei; Bufetov, Alexey 8 2021 CLT for spectra of submatrices of Wigner random matrices. II: Stochastic evolution. Zbl 1330.60013Borodin, Alexei 7 2014 Moduli spaces of \(d\)-connections and difference Painlevé equations. Zbl 1109.39019Arinkin, D.; Borodin, A. 7 2006 Correlation kernels for discrete symplectic and orthogonal ensembles. Zbl 1190.82005Borodin, Alexei; Strahov, Eugene 6 2009 Random tilings and Markov chains for interlacing particles. Zbl 1401.05061Borodin, A.; Ferrari, P. L. 6 2018 Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes. Zbl 1404.60147Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik L. 6 2018 A stochastic telegraph equation from the six-vertex model. Zbl 1458.60056Borodin, Alexei; Gorin, Vadim 6 2019 Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. Zbl 1360.82063Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio 6 2017 Duality of orthogonal polynomials on a finite set. Zbl 1030.33005Borodin, Alexei 5 2002 Stochasticization of solutions to the Yang-Baxter equation. Zbl 1439.81057Aggarwal, Amol; Borodin, Alexei; Bufetov, Alexey 5 2019 Color-position symmetry in interacting particle systems. Zbl 07367518Borodin, Alexei; Bufetov, Alexey 8 2021 Spin \(q\)-Whittaker polynomials. Zbl 1460.81033Borodin, Alexei; Wheeler, Michael 4 2021 Half-space Macdonald processes. Zbl 1445.60071Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan 11 2020 Dynamic ASEP, duality, and continuous \(q^{-1}\)-Hermite polynomials. Zbl 1455.60129Borodin, Alexei; Corwin, Ivan 3 2020 Symmetric elliptic functions, IRF models, and dynamic exclusion processes. Zbl 1465.60083Borodin, Alexei 3 2020 Product matrix processes as limits of random plane partitions. Zbl 1456.60014Borodin, Alexei; Gorin, Vadim; Strahov, Eugene 3 2020 Observables of coloured stochastic vertex models and their polymer limits. Zbl 07485837Borodin, Alexei; Wheeler, Michael 3 2020 Phase transitions in the ASEP and stochastic six-vertex model. Zbl 1466.60191Aggarwal, Amol; Borodin, Alexei 13 2019 A stochastic telegraph equation from the six-vertex model. Zbl 1458.60056Borodin, Alexei; Gorin, Vadim 6 2019 Stochasticization of solutions to the Yang-Baxter equation. Zbl 1439.81057Aggarwal, Amol; Borodin, Alexei; Bufetov, Alexey 5 2019 Correction to: “Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz”. Zbl 1421.82008Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 2 2019 Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141Borodin, Alexei; Petrov, Leonid 51 2018 Stochastic higher spin six vertex model and Macdonald measures. Zbl 1382.82029Borodin, Alexei 25 2018 Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process. Zbl 1434.60270Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan; Wheeler, Michael 23 2018 Inhomogeneous exponential jump model. Zbl 1412.82027Borodin, Alexei; Petrov, Leonid 8 2018 Random tilings and Markov chains for interlacing particles. Zbl 1401.05061Borodin, A.; Ferrari, P. L. 6 2018 Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes. Zbl 1404.60147Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik L. 6 2018 Two-dimensional anisotropic KPZ growth and limit shapes. Zbl 1457.82283Borodin, Alexei; Toninelli, Fabio 3 2018 On a family of symmetric rational functions. Zbl 1355.05250Borodin, Alexei 47 2017 The ASEP and determinantal point processes. Zbl 1369.60031Borodin, Alexei; Olshanski, Grigori 24 2017 Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010Borodin, Alexei; Petrov, Leonid 22 2017 Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008Borodin, Alexei; Gorin, Vadim; Guionnet, Alice 18 2017 Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. Zbl 1360.82063Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio 6 2017 An irreversible local Markov chain that preserves the six vertex model on a torus. Zbl 1361.60059Borodin, Alexei; Bufetov, Alexey 4 2017 Stochastic six-vertex model. Zbl 1343.82013Borodin, Alexei; Corwin, Ivan; Gorin, Vadim 59 2016 Lectures on integrable probability. Zbl 1388.60157Borodin, Alexei; Gorin, Vadim 48 2016 Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161Borodin, Alexei; Petrov, Leonid 32 2016 Observables of Macdonald processes. Zbl 1331.05221Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil 24 2016 Representations of the infinite symmetric group. Zbl 1364.20001Borodin, Alexei; Olshanski, Grigori 15 2016 Directed random polymers via nested contour integrals. Zbl 1377.82050Borodin, Alexei; Bufetov, Alexey; Corwin, Ivan 14 2016 Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007Borodin, Alexei; Gorin, Vadim 13 2016 Erratum to: “The Ginibre ensemble of real random matrices and its scaling limits”. Zbl 1425.82003Borodin, Alexei; Poplavskyi, Mihail; Sinclair, Christopher D.; Tribe, Roger; Zaboronski, Oleg 2 2016 Height fluctuations for the stationary KPZ equation. Zbl 1332.82068Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik; Vető, Bálint 44 2015 General \(\beta\)-Jacobi corners process and the Gaussian free field. Zbl 1325.60076Borodin, Alexei; Gorin, Vadim 33 2015 Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 32 2015 Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 31 2015 Discrete time \(q\)-TASEPs. Zbl 1310.82030Borodin, Alexei; Corwin, Ivan 25 2015 Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori 12 2015 Multiplicative functionals on ensembles of non-intersecting paths. Zbl 1357.60012Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 8 2015 A classical limit of Noumi’s \(q\)-integral operator. Zbl 1329.05294Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 2 2015 Macdonald processes. Zbl 1291.82077Borodin, Alexei; Corwin, Ivan 149 2014 Anisotropic growth of random surfaces in \({2+1}\) dimensions. Zbl 1303.82015Borodin, Alexei; Ferrari, Patrik L. 109 2014 From duality to determinants for \(q\)-TASEP and ASEP. Zbl 1304.82048Borodin, Alexei; Corwin, Ivan; Sasamoto, Tomohiro 81 2014 Free energy fluctuations for directed polymers in random media in 1+1 dimension. Zbl 1295.82035Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik 71 2014 Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023Borodin, Alexei; Petrov, Leonid 50 2014 CLT for spectra of submatrices of Wigner random matrices. Zbl 1315.60005Borodin, Alexei 18 2014 Moments and Lyapunov exponents for the parabolic Anderson model. Zbl 1291.82078Borodin, Alexei; Corwin, Ivan 12 2014 Macdonald processes. Zbl 1304.82047Borodin, A.; Corwin, I. 11 2014 Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. Zbl 1322.60062Borodin, Alexei; Bufetov, Alexey 9 2014 CLT for spectra of submatrices of Wigner random matrices. II: Stochastic evolution. Zbl 1330.60013Borodin, Alexei 7 2014 Integrable probability. Zbl 1373.60153Borodin, Alexei 4 2014 Log-gamma polymer free energy fluctuations via a Fredholm determinant identity. Zbl 1479.82112Borodin, Alexei; Corwin, Ivan; Remenik, Daniel 49 2013 Renormalized energy concentration in random matrices. Zbl 1276.60007Borodin, Alexei; Serfaty, Sylvia 19 2013 The Young bouquet and its boundary. Zbl 1320.05137Borodin, Alexei; Olshanski, Grigori 19 2013 Markov processes of infinitely many nonintersecting random walks. Zbl 1278.60113Borodin, Alexei; Gorin, Vadim 14 2013 Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074Borodin, Alexei; Olshanski, Grigori 9 2013 A CLT for Plancherel representations of the infinite-dimensional unitary group. Zbl 1278.60045Borodin, A.; Bufetov, A. 2 2013 Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149Borodin, Alexei; Olshanski, Grigori 27 2012 The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131Borodin, Alexei; Olshanski, Grigori 26 2012 Determinantal point processes. Zbl 1238.60055Borodin, Alexei 55 2011 Schur dynamics of the Schur processes. Zbl 1234.60012Borodin, Alexei 31 2011 Limits of determinantal processes near a tacnode. Zbl 1208.82039Borodin, Alexei; Duits, Maurice 15 2011 \(q\)-distributions on boxed plane partitions. Zbl 1205.82122Borodin, Alexei; Gorin, Vadim; Rains, Eric M. 48 2010 Random surface growth with a wall and Plancherel measures for \(O (\infty )\). Zbl 1193.82013Borodin, Alexei; Kuan, Jeffrey 28 2010 On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292Borodin, Alexei; Diaconis, Persi; Fulman, Jason 20 2010 Gibbs ensembles of nonintersecting paths. Zbl 1193.82003Borodin, Alexei; Shlosman, Senya 10 2010 The Ginibre ensemble of real random matrices and its scaling limits. Zbl 1184.82004Borodin, A.; Sinclair, C. D. 42 2009 Two speed TASEP. Zbl 1183.82062Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 27 2009 Shuffling algorithm for boxed plane partitions. Zbl 1172.60020Borodin, Alexei; Gorin, Vadim 24 2009 Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036Borodin, Alexei; Olshanski, Grigori 23 2009 Maximum of Dyson Brownian motion and non-colliding systems with a boundary. Zbl 1189.60169Borodin, Alexei; Ferrari, Patrik L.; Prahofer, Michael; Sasamoto, Tomohiro; Warren, Jon 14 2009 Correlation kernels for discrete symplectic and orthogonal ensembles. Zbl 1190.82005Borodin, Alexei; Strahov, Eugene 6 2009 \(\tau \)-function of discrete isomonodromy transformations and probability. Zbl 1210.14036Arinkin, D.; Borodin, A. 1 2009 Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure. Zbl 1456.82714Borodin, Alexei; Ferrari, Patrik L. 1 2009 Large time asymptotics of growth models on space-like paths. I: Push ASEP. Zbl 1187.82084Borodin, Alexei; Ferrari, Patrik L. 72 2008 Transition between Airy\(_1\) and Airy\(_2\) processes and TASEP fluctuations. Zbl 1214.82062Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 42 2008 Airy kernel with two sets of parameters in directed percolation and random matrix theory. Zbl 1145.82021Borodin, Alexei; Péché, Sandrine 38 2008 Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP. Zbl 1201.82030Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro 32 2008 Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Zbl 1153.60058Borodin, Alexei; Kuan, Jeffrey 23 2008 Loop-free Markov chains as determinantal point processes. Zbl 1186.60066Borodin, Alexei 2 2008 Fluctuation properties of the TASEP with periodic initial configuration. Zbl 1136.82028Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael; Sasamoto, Tomohiro 110 2007 Periodic Schur process and cylindric partitions. Zbl 1131.22003Borodin, Alexei 31 2007 Fluctuations in the discrete TASEP with periodic initial configurations and the Airy\(_{1}\) process. Zbl 1136.82321Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael 27 2007 Asymptotics of Plancherel-type random partitions. Zbl 1117.60051Borodin, Alexei; Olshanski, Grigori 24 2007 A note on the Pfaffian integration theorem. Zbl 1122.81033Borodin, Alexei; Kanzieper, Eugene 2 2007 Averages of characteristic polynomials in random matrix theory. Zbl 1155.15304Borodin, A.; Strahov, E. 43 2006 Markov processes on partitions. Zbl 1105.60052Borodin, Alexei; Olshanski, Grigori 27 2006 Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041Borodin, Alexei; Olshanski, Grigori 20 2006 A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic 17 2006 Meixner polynomials and random partitions. Zbl 1126.60006Borodin, Alexei; Olshanski, Grigori 14 2006 Giambelli compatible point processes. Zbl 1108.05093Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene 12 2006 Moduli spaces of \(d\)-connections and difference Painlevé equations. Zbl 1109.39019Arinkin, D.; Borodin, A. 7 2006 Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017Borodin, Alexei; Rains, Eric M. 85 2005 Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003Borodin, Alexei; Olshanski, Grigori 62 2005 \(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005Borodin, Alexei; Olshanski, Grigori 24 2005 Random partitions and the gamma kernel. Zbl 1128.60301Borodin, Alexei; Olshanski, Grigori 22 2005 Isomonodromy transformations of linear systems of difference equations. Zbl 1085.39001Borodin, Alexei 15 2005 Representation theory and random point processes. Zbl 1087.15025Borodin, Alexei; Olshanski, Grigori 12 2005 Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Zbl 1033.60006Borodin, Alexei; Forrester, Peter J. 17 2003 Discrete gap probabilities and discrete Painlevé equations. Zbl 1034.39013Borodin, Alexei 16 2003 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 905 Authors 76 Borodin, Alexei 47 Corwin, Ivan Z. 37 Ferrari, Patrik Lino 34 Forrester, Peter J. 34 Ol’shanskiĭ, Grigoriĭ Iosifovich 29 Gorin, Vadim 28 Petrov, Leonid 21 Sasamoto, Tomohiro 19 Johansson, Kurt 19 Kuijlaars, Arno B. J. 19 Quastel, Jeremy 18 Bufetov, Alekseĭ Igor’evich 16 Baik, Jinho 15 Adler, Mark 15 Bufetov, Aleksandr Igorevich 15 Remenik, Daniel 15 van Moerbeke, Pierre 14 Duits, Maurice 14 Strahov, Eugene 13 Fulman, Jason E. 13 Zhang, Lun 12 Akemann, Gernot 12 Assiotis, Theodoros 11 Kuan, Jeffrey 11 Le Doussal, Pierre 10 Imamura, Takashi 10 Katori, Makoto 10 Neretin, Yuriĭ Aleksandrovich 10 Tracy, Craig Arnold 10 Widom, Harold 9 Betea, Dan 9 Chhita, Sunil 9 Liechty, Karl 9 Liu, Dangzheng 9 Nejjar, Peter 9 Seppäläinen, Timo 9 van Diejen, Jan Felipe 8 Barraquand, Guillaume 8 Cuenca, Cesar 8 Diaconis, Persi Warren 8 Dimitrov, Evgeni I. 8 Emsiz, Erdal 8 Giardinà, Cristian 8 Kieburg, Mario 8 Motegi, Kohei 8 O’Connell, Neil 8 Serfaty, Sylvia 8 Sinclair, Christopher D. 8 Wang, Dong 7 Aggarwal, Amol 7 Carinci, Gioia 7 Corteel, Sylvie 7 Deift, Percy A. 7 Delvaux, Steven 7 Fyodorov, Yan V. 7 Lee, Eunghyun 7 Qiu, Yanqi 7 Rains, Eric M. 7 Schehr, Grégory 7 Schütz, Gunter M. 7 Spohn, Herbert 7 Toninelli, Fabio Lucio 7 Tsai, Li-cheng 7 Vershik, Anatoliĭ Moiseevich 6 Claeys, Tom 6 Ganguly, Shirshendu 6 Hardy, Adrien 6 Ipsen, Jesper R. 6 Its, Alexander Rudolfovich 6 Kösters, Holger 6 Krajenbrink, Alexandre 6 Lambert, Gaultier 6 Lisovyy, Oleg 6 Liu, Zhipeng 6 Martínez-Finkelshtein, Andrei 6 Panova, Greta 6 Péché, Sandrine 6 Redig, Frank 6 Tierz, Miguel 6 Vető, Bálint 6 Witte, Nicholas S. 5 Basor, Estelle L. 5 Bleher, Pavel M. 5 Blower, Gordon 5 Bogolyubov, Nikolaĭ Mikhaĭlovich 5 Bouttier, Jérémie 5 Breuer, Jonathan 5 Cafasso, Mattia 5 Charlier, Christophe 5 Chatterjee, Sourav 5 Dołȩga, Maciej 5 Ghosal, Promit 5 Gonçalves, Patrícia C. 5 Gorin, V. E. 5 Hammond, Alan 5 Majumdar, Satya N. 5 Mangazeev, Vladimir V. 5 Mays, Anthony 5 Najnudel, Joseph 5 Okun’kov, Andreĭ Yur’evich ...and 805 more Authors all top 5 Cited in 170 Serials 100 Journal of Statistical Physics 97 Communications in Mathematical Physics 53 The Annals of Probability 52 Probability Theory and Related Fields 46 Journal of Mathematical Physics 41 Advances in Mathematics 35 Electronic Journal of Probability 32 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 30 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 25 Random Matrices: Theory and Applications 22 Journal of Functional Analysis 21 Journal of Mathematical Sciences (New York) 20 Journal of Approximation Theory 20 The Annals of Applied Probability 19 Nuclear Physics. B 19 Journal of Statistical Mechanics: Theory and Experiment 17 Letters in Mathematical Physics 17 Functional Analysis and its Applications 16 Duke Mathematical Journal 16 Journal of Combinatorial Theory. Series A 15 Communications on Pure and Applied Mathematics 14 Advances in Applied Mathematics 14 Stochastic Processes and their Applications 13 Transactions of the American Mathematical Society 13 Journal of Theoretical Probability 13 Journal of Physics A: Mathematical and Theoretical 12 Selecta Mathematica. New Series 11 Bulletin of the American Mathematical Society. New Series 10 Mathematical Physics, Analysis and Geometry 10 Annales Henri Poincaré 9 Theoretical and Mathematical Physics 9 Constructive Approximation 8 Nonlinearity 8 Journal of the American Mathematical Society 8 Journal of Algebraic Combinatorics 8 Journal of High Energy Physics 7 Inventiones Mathematicae 7 Journal of Algebra 7 The Electronic Journal of Combinatorics 7 Electronic Communications in Probability 6 Séminaire Lotharingien de Combinatoire 6 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 5 Statistics & Probability Letters 5 Physica D 5 Linear Algebra and its Applications 5 Bernoulli 5 Forum of Mathematics, Pi 4 Annales de l’Institut Fourier 4 Integral Equations and Operator Theory 4 Journal of Applied Probability 4 Geometric and Functional Analysis. GAFA 3 Discrete Mathematics 3 Journal of Geometry and Physics 3 Publications Mathématiques 3 Journal of the Mathematical Society of Japan 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Studies in Applied Mathematics 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Probability Surveys 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 Annales Henri Lebesgue 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Arkiv för Matematik 2 Mathematics of Computation 2 American Journal of Mathematics 2 Compositio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Pure and Applied Algebra 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 Combinatorics, Probability and Computing 2 Annales Mathématiques Blaise Pascal 2 Izvestiya: Mathematics 2 European Mathematical Society Newsletter 2 Doklady Mathematics 2 Annals of Combinatorics 2 Acta Mathematica Sinica. English Series 2 Journal of Nonlinear Mathematical Physics 2 Foundations of Computational Mathematics 2 Moscow Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 2 Japanese Journal of Mathematics. 3rd Series 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Forum of Mathematics, Sigma 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Algebraic Combinatorics 1 Advances in Applied Probability 1 Discrete Applied Mathematics ...and 70 more Serials all top 5 Cited in 56 Fields 744 Probability theory and stochastic processes (60-XX) 460 Statistical mechanics, structure of matter (82-XX) 251 Linear and multilinear algebra; matrix theory (15-XX) 208 Combinatorics (05-XX) 158 Special functions (33-XX) 103 Quantum theory (81-XX) 90 Partial differential equations (35-XX) 60 Dynamical systems and ergodic theory (37-XX) 54 Operator theory (47-XX) 52 Group theory and generalizations (20-XX) 51 Ordinary differential equations (34-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 40 Nonassociative rings and algebras (17-XX) 38 Statistics (62-XX) 36 Topological groups, Lie groups (22-XX) 34 Abstract harmonic analysis (43-XX) 29 Number theory (11-XX) 28 Algebraic geometry (14-XX) 28 Functional analysis (46-XX) 27 Functions of a complex variable (30-XX) 23 Difference and functional equations (39-XX) 19 Numerical analysis (65-XX) 18 Associative rings and algebras (16-XX) 14 Approximations and expansions (41-XX) 13 Measure and integration (28-XX) 12 Convex and discrete geometry (52-XX) 11 Integral transforms, operational calculus (44-XX) 10 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 9 Potential theory (31-XX) 8 Computer science (68-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 History and biography (01-XX) 6 Real functions (26-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Mechanics of particles and systems (70-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Commutative algebra (13-XX) 5 Differential geometry (53-XX) 4 Category theory; homological algebra (18-XX) 4 Relativity and gravitational theory (83-XX) 4 Operations research, mathematical programming (90-XX) 2 \(K\)-theory (19-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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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