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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
Awards: EMS Prize (2008)
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

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 3,089 times in 1,168 Documents Cited by Year
Macdonald processes. Zbl 1291.82077
Borodin, Alexei; Corwin, Ivan
149
2014
Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061
Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori
135
2000
Fluctuation properties of the TASEP with periodic initial configuration. Zbl 1136.82028
Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael; Sasamoto, Tomohiro
110
2007
Anisotropic growth of random surfaces in \({2+1}\) dimensions. Zbl 1303.82015
Borodin, Alexei; Ferrari, Patrik L.
109
2014
Biorthogonal ensembles. Zbl 0948.82018
Borodin, Alexei
92
1999
Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017
Borodin, Alexei; Rains, Eric M.
85
2005
From duality to determinants for \(q\)-TASEP and ASEP. Zbl 1304.82048
Borodin, Alexei; Corwin, Ivan; Sasamoto, Tomohiro
81
2014
Large time asymptotics of growth models on space-like paths. I: Push ASEP. Zbl 1187.82084
Borodin, Alexei; Ferrari, Patrik L.
72
2008
Free energy fluctuations for directed polymers in random media in 1+1 dimension. Zbl 1295.82035
Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik
71
2014
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003
Borodin, Alexei; Olshanski, Grigori
62
2005
A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014
Borodin, Alexei; Okounkov, Andrei
60
2000
Stochastic six-vertex model. Zbl 1343.82013
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim
59
2016
Determinantal point processes. Zbl 1238.60055
Borodin, Alexei
55
2011
Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141
Borodin, Alexei; Petrov, Leonid
51
2018
Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023
Borodin, Alexei; Petrov, Leonid
50
2014
Distributions on partitions, point processes, and the hypergeometric kernel. Zbl 0966.60049
Borodin, Alexei; Olshanski, Grigori
49
2000
Log-gamma polymer free energy fluctuations via a Fredholm determinant identity. Zbl 1479.82112
Borodin, Alexei; Corwin, Ivan; Remenik, Daniel
49
2013
\(q\)-distributions on boxed plane partitions. Zbl 1205.82122
Borodin, Alexei; Gorin, Vadim; Rains, Eric M.
48
2010
Lectures on integrable probability. Zbl 1388.60157
Borodin, Alexei; Gorin, Vadim
48
2016
On a family of symmetric rational functions. Zbl 1355.05250
Borodin, Alexei
47
2017
Height fluctuations for the stationary KPZ equation. Zbl 1332.82068
Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik; Vető, Bálint
44
2015
Averages of characteristic polynomials in random matrix theory. Zbl 1155.15304
Borodin, A.; Strahov, E.
43
2006
The Ginibre ensemble of real random matrices and its scaling limits. Zbl 1184.82004
Borodin, A.; Sinclair, C. D.
42
2009
Transition between Airy\(_1\) and Airy\(_2\) processes and TASEP fluctuations. Zbl 1214.82062
Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro
42
2008
Airy kernel with two sets of parameters in directed percolation and random matrix theory. Zbl 1145.82021
Borodin, Alexei; Péché, Sandrine
38
2008
Fredholm determinants, Jimbo-Miwa-Ueno \(\tau\)-functions, and representation theory. Zbl 1033.34089
Borodin, Alexei; Deift, Percy
37
2002
Point processes and the infinite symmetric group. Zbl 1044.20501
Borodin, Alexei; Olshanski, Grigori
34
1998
General \(\beta\)-Jacobi corners process and the Gaussian free field. Zbl 1325.60076
Borodin, Alexei; Gorin, Vadim
33
2015
Infinite random matrices and ergodic measures. Zbl 0987.60020
Borodin, Alexei; Olshanski, Grigori
33
2001
Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161
Borodin, Alexei; Petrov, Leonid
32
2016
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017
Borodin, 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 1201.82030
Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro
32
2008
Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
31
2015
Schur dynamics of the Schur processes. Zbl 1234.60012
Borodin, Alexei
31
2011
Periodic Schur process and cylindric partitions. Zbl 1131.22003
Borodin, Alexei
31
2007
Random surface growth with a wall and Plancherel measures for \(O (\infty )\). Zbl 1193.82013
Borodin, Alexei; Kuan, Jeffrey
28
2010
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149
Borodin, Alexei; Olshanski, Grigori
27
2012
Markov processes on partitions. Zbl 1105.60052
Borodin, Alexei; Olshanski, Grigori
27
2006
Fluctuations in the discrete TASEP with periodic initial configurations and the Airy\(_{1}\) process. Zbl 1136.82321
Borodin, Alexei; Ferrari, Patrik L.; Prähofer, Michael
27
2007
Two speed TASEP. Zbl 1183.82062
Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro
27
2009
The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131
Borodin, Alexei; Olshanski, Grigori
26
2012
Discrete time \(q\)-TASEPs. Zbl 1310.82030
Borodin, Alexei; Corwin, Ivan
25
2015
Stochastic higher spin six vertex model and Macdonald measures. Zbl 1382.82029
Borodin, Alexei
25
2018
The ASEP and determinantal point processes. Zbl 1369.60031
Borodin, Alexei; Olshanski, Grigori
24
2017
Observables of Macdonald processes. Zbl 1331.05221
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil
24
2016
Shuffling algorithm for boxed plane partitions. Zbl 1172.60020
Borodin, Alexei; Gorin, Vadim
24
2009
\(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005
Borodin, Alexei; Olshanski, Grigori
24
2005
Asymptotics of Plancherel-type random partitions. Zbl 1117.60051
Borodin, Alexei; Olshanski, Grigori
24
2007
Harmonic functions on multiplicative graphs and interpolation polynomials. Zbl 0939.05082
Borodin, Alexei; Olshanski, Grigori
23
2000
Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036
Borodin, Alexei; Olshanski, Grigori
23
2009
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
23
2018
Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Zbl 1153.60058
Borodin, Alexei; Kuan, Jeffrey
23
2008
Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010
Borodin, Alexei; Petrov, Leonid
22
2017
Random partitions and the gamma kernel. Zbl 1128.60301
Borodin, Alexei; Olshanski, Grigori
22
2005
Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041
Borodin, Alexei; Olshanski, Grigori
20
2006
On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292
Borodin, Alexei; Diaconis, Persi; Fulman, Jason
20
2010
\(z\)-measures on partitions, Robinson-Schensted-Knuth correspondence, and \(\beta=2\) random matrix ensembles. Zbl 0987.15013
Borodin, Alexei; Olshanski, Grigori
20
2001
Renormalized energy concentration in random matrices. Zbl 1276.60007
Borodin, Alexei; Serfaty, Sylvia
19
2013
The Young bouquet and its boundary. Zbl 1320.05137
Borodin, Alexei; Olshanski, Grigori
19
2013
CLT for spectra of submatrices of Wigner random matrices. Zbl 1315.60005
Borodin, Alexei
18
2014
Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008
Borodin, Alexei; Gorin, Vadim; Guionnet, Alice
18
2017
Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Zbl 1033.60006
Borodin, Alexei; Forrester, Peter J.
17
2003
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
17
2006
Discrete gap probabilities and discrete Painlevé equations. Zbl 1034.39013
Borodin, Alexei
16
2003
Limits of determinantal processes near a tacnode. Zbl 1208.82039
Borodin, Alexei; Duits, Maurice
15
2011
Representations of the infinite symmetric group. Zbl 1364.20001
Borodin, Alexei; Olshanski, Grigori
15
2016
Isomonodromy transformations of linear systems of difference equations. Zbl 1085.39001
Borodin, Alexei
15
2005
Directed random polymers via nested contour integrals. Zbl 1377.82050
Borodin, Alexei; Bufetov, Alexey; Corwin, Ivan
14
2016
Markov processes of infinitely many nonintersecting random walks. Zbl 1278.60113
Borodin, Alexei; Gorin, Vadim
14
2013
Riemann-Hilbert problem and the discrete Bessel kernel. Zbl 0964.39015
Borodin, Alexei
14
2000
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
14
2009
Meixner polynomials and random partitions. Zbl 1126.60006
Borodin, Alexei; Olshanski, Grigori
14
2006
Phase transitions in the ASEP and stochastic six-vertex model. Zbl 1466.60191
Aggarwal, Amol; Borodin, Alexei
13
2019
Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007
Borodin, Alexei; Gorin, Vadim
13
2016
Distribution of the first particle in discrete orthogonal polynomial ensembles. Zbl 1029.82016
Borodin, Alexei; Boyarchenko, Dmitriy
13
2003
Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013
Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori
12
2015
Giambelli compatible point processes. Zbl 1108.05093
Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene
12
2006
Moments and Lyapunov exponents for the parabolic Anderson model. Zbl 1291.82078
Borodin, Alexei; Corwin, Ivan
12
2014
Janossy densities. I: Determinantal ensembles. Zbl 1070.15020
Borodin, Alexei; Soshnikov, Alexander
12
2003
Representation theory and random point processes. Zbl 1087.15025
Borodin, Alexei; Olshanski, Grigori
12
2005
Macdonald processes. Zbl 1304.82047
Borodin, A.; Corwin, I.
11
2014
Limit Jordan normal form of large triangular matrices over a finite field. Zbl 0860.15009
Borodin, A. M.
11
1995
Half-space Macdonald processes. Zbl 1445.60071
Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan
11
2020
Gibbs ensembles of nonintersecting paths. Zbl 1193.82003
Borodin, Alexei; Shlosman, Senya
10
2010
Longest increasing subsequences of random colored permutations. Zbl 0923.05001
Borodin, Alexei
10
1999
Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles. Zbl 1293.60074
Borodin, Alexei; Olshanski, Grigori
9
2013
Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. Zbl 1322.60062
Borodin, Alexei; Bufetov, Alexey
9
2014
Harmonic analysis on the infinite symmetric group, and the Whittaker kernel. Zbl 0988.43010
Borodin, A. M.
9
2001
Multiplicative functionals on ensembles of non-intersecting paths. Zbl 1357.60012
Borodin, Alexei; Corwin, Ivan; Remenik, Daniel
8
2015
Inhomogeneous exponential jump model. Zbl 1412.82027
Borodin, Alexei; Petrov, Leonid
8
2018
Color-position symmetry in interacting particle systems. Zbl 07367518
Borodin, Alexei; Bufetov, Alexey
8
2021
CLT for spectra of submatrices of Wigner random matrices. II: Stochastic evolution. Zbl 1330.60013
Borodin, Alexei
7
2014
Moduli spaces of \(d\)-connections and difference Painlevé equations. Zbl 1109.39019
Arinkin, D.; Borodin, A.
7
2006
Correlation kernels for discrete symplectic and orthogonal ensembles. Zbl 1190.82005
Borodin, Alexei; Strahov, Eugene
6
2009
Random tilings and Markov chains for interlacing particles. Zbl 1401.05061
Borodin, A.; Ferrari, P. L.
6
2018
Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes. Zbl 1404.60147
Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik L.
6
2018
A stochastic telegraph equation from the six-vertex model. Zbl 1458.60056
Borodin, Alexei; Gorin, Vadim
6
2019
Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. Zbl 1360.82063
Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio
6
2017
Duality of orthogonal polynomials on a finite set. Zbl 1030.33005
Borodin, Alexei
5
2002
Stochasticization of solutions to the Yang-Baxter equation. Zbl 1439.81057
Aggarwal, Amol; Borodin, Alexei; Bufetov, Alexey
5
2019
Color-position symmetry in interacting particle systems. Zbl 07367518
Borodin, Alexei; Bufetov, Alexey
8
2021
Spin \(q\)-Whittaker polynomials. Zbl 1460.81033
Borodin, Alexei; Wheeler, Michael
4
2021
Half-space Macdonald processes. Zbl 1445.60071
Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan
11
2020
Dynamic ASEP, duality, and continuous \(q^{-1}\)-Hermite polynomials. Zbl 1455.60129
Borodin, Alexei; Corwin, Ivan
3
2020
Symmetric elliptic functions, IRF models, and dynamic exclusion processes. Zbl 1465.60083
Borodin, Alexei
3
2020
Product matrix processes as limits of random plane partitions. Zbl 1456.60014
Borodin, Alexei; Gorin, Vadim; Strahov, Eugene
3
2020
Observables of coloured stochastic vertex models and their polymer limits. Zbl 07485837
Borodin, Alexei; Wheeler, Michael
3
2020
Phase transitions in the ASEP and stochastic six-vertex model. Zbl 1466.60191
Aggarwal, Amol; Borodin, Alexei
13
2019
A stochastic telegraph equation from the six-vertex model. Zbl 1458.60056
Borodin, Alexei; Gorin, Vadim
6
2019
Stochasticization of solutions to the Yang-Baxter equation. Zbl 1439.81057
Aggarwal, Amol; Borodin, Alexei; Bufetov, Alexey
5
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
2
2019
Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141
Borodin, Alexei; Petrov, Leonid
51
2018
Stochastic higher spin six vertex model and Macdonald measures. Zbl 1382.82029
Borodin, Alexei
25
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
23
2018
Inhomogeneous exponential jump model. Zbl 1412.82027
Borodin, Alexei; Petrov, Leonid
8
2018
Random tilings and Markov chains for interlacing particles. Zbl 1401.05061
Borodin, A.; Ferrari, P. L.
6
2018
Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes. Zbl 1404.60147
Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik L.
6
2018
Two-dimensional anisotropic KPZ growth and limit shapes. Zbl 1457.82283
Borodin, Alexei; Toninelli, Fabio
3
2018
On a family of symmetric rational functions. Zbl 1355.05250
Borodin, Alexei
47
2017
The ASEP and determinantal point processes. Zbl 1369.60031
Borodin, Alexei; Olshanski, Grigori
24
2017
Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010
Borodin, Alexei; Petrov, Leonid
22
2017
Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008
Borodin, Alexei; Gorin, Vadim; Guionnet, Alice
18
2017
Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. Zbl 1360.82063
Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio
6
2017
An irreversible local Markov chain that preserves the six vertex model on a torus. Zbl 1361.60059
Borodin, Alexei; Bufetov, Alexey
4
2017
Stochastic six-vertex model. Zbl 1343.82013
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim
59
2016
Lectures on integrable probability. Zbl 1388.60157
Borodin, Alexei; Gorin, Vadim
48
2016
Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161
Borodin, Alexei; Petrov, Leonid
32
2016
Observables of Macdonald processes. Zbl 1331.05221
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil
24
2016
Representations of the infinite symmetric group. Zbl 1364.20001
Borodin, Alexei; Olshanski, Grigori
15
2016
Directed random polymers via nested contour integrals. Zbl 1377.82050
Borodin, Alexei; Bufetov, Alexey; Corwin, Ivan
14
2016
Moments match between the KPZ equation and the Airy point process. Zbl 1348.60007
Borodin, Alexei; Gorin, Vadim
13
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
2
2016
Height fluctuations for the stationary KPZ equation. Zbl 1332.82068
Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik; Vető, Bálint
44
2015
General \(\beta\)-Jacobi corners process and the Gaussian free field. Zbl 1325.60076
Borodin, Alexei; Gorin, Vadim
33
2015
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
32
2015
Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
31
2015
Discrete time \(q\)-TASEPs. Zbl 1310.82030
Borodin, Alexei; Corwin, Ivan
25
2015
Limit shapes for growing extreme characters of \(U(\infty)\). Zbl 1325.60013
Borodin, Alexei; Bufetov, Alexey; Olshanski, Grigori
12
2015
Multiplicative functionals on ensembles of non-intersecting paths. Zbl 1357.60012
Borodin, Alexei; Corwin, Ivan; Remenik, Daniel
8
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
149
2014
Anisotropic growth of random surfaces in \({2+1}\) dimensions. Zbl 1303.82015
Borodin, Alexei; Ferrari, Patrik L.
109
2014
From duality to determinants for \(q\)-TASEP and ASEP. Zbl 1304.82048
Borodin, Alexei; Corwin, Ivan; Sasamoto, Tomohiro
81
2014
Free energy fluctuations for directed polymers in random media in 1+1 dimension. Zbl 1295.82035
Borodin, Alexei; Corwin, Ivan; Ferrari, Patrik
71
2014
Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023
Borodin, Alexei; Petrov, Leonid
50
2014
CLT for spectra of submatrices of Wigner random matrices. Zbl 1315.60005
Borodin, Alexei
18
2014
Moments and Lyapunov exponents for the parabolic Anderson model. Zbl 1291.82078
Borodin, Alexei; Corwin, Ivan
12
2014
Macdonald processes. Zbl 1304.82047
Borodin, A.; Corwin, I.
11
2014
Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. Zbl 1322.60062
Borodin, Alexei; Bufetov, Alexey
9
2014
CLT for spectra of submatrices of Wigner random matrices. II: Stochastic evolution. Zbl 1330.60013
Borodin, Alexei
7
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
49
2013
Renormalized energy concentration in random matrices. Zbl 1276.60007
Borodin, Alexei; Serfaty, Sylvia
19
2013
The Young bouquet and its boundary. Zbl 1320.05137
Borodin, Alexei; Olshanski, Grigori
19
2013
Markov processes of infinitely many nonintersecting random walks. Zbl 1278.60113
Borodin, Alexei; Gorin, Vadim
14
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
9
2013
A CLT for Plancherel representations of the infinite-dimensional unitary group. Zbl 1278.60045
Borodin, A.; Bufetov, A.
2
2013
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary. Zbl 1260.60149
Borodin, Alexei; Olshanski, Grigori
27
2012
The boundary of the Gelfand-Tsetlin graph: A new approach. Zbl 1245.05131
Borodin, Alexei; Olshanski, Grigori
26
2012
Determinantal point processes. Zbl 1238.60055
Borodin, Alexei
55
2011
Schur dynamics of the Schur processes. Zbl 1234.60012
Borodin, Alexei
31
2011
Limits of determinantal processes near a tacnode. Zbl 1208.82039
Borodin, Alexei; Duits, Maurice
15
2011
\(q\)-distributions on boxed plane partitions. Zbl 1205.82122
Borodin, Alexei; Gorin, Vadim; Rains, Eric M.
48
2010
Random surface growth with a wall and Plancherel measures for \(O (\infty )\). Zbl 1193.82013
Borodin, Alexei; Kuan, Jeffrey
28
2010
On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292
Borodin, Alexei; Diaconis, Persi; Fulman, Jason
20
2010
Gibbs ensembles of nonintersecting paths. Zbl 1193.82003
Borodin, Alexei; Shlosman, Senya
10
2010
The Ginibre ensemble of real random matrices and its scaling limits. Zbl 1184.82004
Borodin, A.; Sinclair, C. D.
42
2009
Two speed TASEP. Zbl 1183.82062
Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro
27
2009
Shuffling algorithm for boxed plane partitions. Zbl 1172.60020
Borodin, Alexei; Gorin, Vadim
24
2009
Infinite-dimensional diffusions as limits of random walks on partitions. Zbl 1163.60036
Borodin, Alexei; Olshanski, Grigori
23
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
14
2009
Correlation kernels for discrete symplectic and orthogonal ensembles. Zbl 1190.82005
Borodin, Alexei; Strahov, Eugene
6
2009
\(\tau \)-function of discrete isomonodromy transformations and probability. Zbl 1210.14036
Arinkin, D.; Borodin, A.
1
2009
Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure. Zbl 1456.82714
Borodin, Alexei; Ferrari, Patrik L.
1
2009
Large time asymptotics of growth models on space-like paths. I: Push ASEP. Zbl 1187.82084
Borodin, Alexei; Ferrari, Patrik L.
72
2008
Transition between Airy\(_1\) and Airy\(_2\) processes and TASEP fluctuations. Zbl 1214.82062
Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro
42
2008
Airy kernel with two sets of parameters in directed percolation and random matrix theory. Zbl 1145.82021
Borodin, Alexei; Péché, Sandrine
38
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
32
2008
Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Zbl 1153.60058
Borodin, Alexei; Kuan, Jeffrey
23
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
110
2007
Periodic Schur process and cylindric partitions. Zbl 1131.22003
Borodin, Alexei
31
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
27
2007
Asymptotics of Plancherel-type random partitions. Zbl 1117.60051
Borodin, Alexei; Olshanski, Grigori
24
2007
A note on the Pfaffian integration theorem. Zbl 1122.81033
Borodin, Alexei; Kanzieper, Eugene
2
2007
Averages of characteristic polynomials in random matrix theory. Zbl 1155.15304
Borodin, A.; Strahov, E.
43
2006
Markov processes on partitions. Zbl 1105.60052
Borodin, Alexei; Olshanski, Grigori
27
2006
Stochastic dynamics related to Plancherel measure on partitions. Zbl 1109.60041
Borodin, Alexei; Olshanski, Grigori
20
2006
A model for the bus system in Cuernavaca (Mexico). Zbl 1134.90438
Baik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic
17
2006
Meixner polynomials and random partitions. Zbl 1126.60006
Borodin, Alexei; Olshanski, Grigori
14
2006
Giambelli compatible point processes. Zbl 1108.05093
Borodin, Alexei; Olshanski, Grigori; Strahov, Eugene
12
2006
Moduli spaces of \(d\)-connections and difference Painlevé equations. Zbl 1109.39019
Arinkin, D.; Borodin, A.
7
2006
Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017
Borodin, Alexei; Rains, Eric M.
85
2005
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Zbl 1082.43003
Borodin, Alexei; Olshanski, Grigori
62
2005
\(Z\)-measures on partitions and their scaling limits. Zbl 1123.60005
Borodin, Alexei; Olshanski, Grigori
24
2005
Random partitions and the gamma kernel. Zbl 1128.60301
Borodin, Alexei; Olshanski, Grigori
22
2005
Isomonodromy transformations of linear systems of difference equations. Zbl 1085.39001
Borodin, Alexei
15
2005
Representation theory and random point processes. Zbl 1087.15025
Borodin, Alexei; Olshanski, Grigori
12
2005
Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Zbl 1033.60006
Borodin, Alexei; Forrester, Peter J.
17
2003
Discrete gap probabilities and discrete Painlevé equations. Zbl 1034.39013
Borodin, Alexei
16
2003
...and 19 more Documents
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
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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
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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)

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