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Author ID: borodin.alexei Recent zbMATH articles by "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 · IdRef
Awards: EMS Prize (2008)
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

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 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
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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. Probabilités et Statistiques
36 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
33 Random Matrices: Theory and Applications
25 The Annals of Applied Probability
24 Journal of Functional Analysis
24 Journal of Mathematical Sciences (New York)
23 Nuclear Physics. B
22 Journal of Approximation Theory
21 Letters in Mathematical Physics
21 Journal of Statistical Mechanics: Theory and Experiment
20 Stochastic Processes and their Applications
19 Duke Mathematical Journal
18 Communications on Pure and Applied Mathematics
18 Journal of Combinatorial Theory. Series A
18 Advances in Applied Mathematics
17 Functional Analysis and its Applications
17 Transactions of the American Mathematical Society
16 Journal of High Energy Physics
15 Annales Henri Poincaré
14 Séminaire Lotharingien de Combinatoire
13 Journal of Theoretical Probability
13 Selecta Mathematica. New Series
12 Constructive Approximation
12 Mathematical Physics, Analysis and Geometry
11 Bulletin of the American Mathematical Society. New Series
10 Journal of Algebra
10 Electronic Communications in Probability
10 Probability and Mathematical Physics
9 Nonlinearity
9 Theoretical and Mathematical Physics
9 Journal of the American Mathematical Society
9 Journal of Algebraic Combinatorics
9 The Electronic Journal of Combinatorics
8 Bernoulli
8 ALEA. Latin American Journal of Probability and Mathematical Statistics
7 Inventiones Mathematicae
6 Journal of Applied Probability
6 Linear Algebra and its Applications
6 Forum of Mathematics, Pi
6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
5 Journal of Mathematical Analysis and Applications
5 Annales de l’Institut Fourier
5 Journal of the London Mathematical Society. Second Series
5 Memoirs of the American Mathematical Society
5 Proceedings of the American Mathematical Society
5 Studies in Applied Mathematics
5 Statistics & Probability Letters
5 Physica D
5 Geometric and Functional Analysis. GAFA
5 Probability Surveys
5 Forum of Mathematics, Sigma
5 Algebraic Combinatorics
4 Integral Equations and Operator Theory
4 Proceedings of the London Mathematical Society. Third Series
4 Random Structures & Algorithms
3 Archive for Rational Mechanics and Analysis
3 Discrete Mathematics
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Physica A
3 Journal of Geometry and Physics
3 Publications Mathématiques
3 Journal of the Mathematical Society of Japan
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Combinatorics, Probability and Computing
3 The Ramanujan Journal
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 Moscow Mathematical Journal
3 Comptes Rendus. Mathématique. 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
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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

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