Alexei Borodin | Academic Influence

Alexei Borodin's AcademicInfluence.com Rankings

Alexei Borodin

Mathematics

#3023

World Rank

#4545

Historical Rank

Probability Theory

#132

World Rank

#160

Historical Rank

Measure Theory

#2424

World Rank

#2900

Historical Rank

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Mathematics

Alexei Borodin's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Moscow State University

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Why Is Alexei Borodin Influential?

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According to Wikipedia, Alexei Mikhailovich Borodin is a professor of mathematics at the Massachusetts Institute of Technology. Research His research concerns asymptotic representation theory, relations with random matrices and integrable systems, and the difference equation formulation of monodromy.

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Alexei Borodin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Asymptotics of Plancherel measures for symmetric groups (1999) (435)
Macdonald processes (2011) (375)
Fluctuation Properties of the TASEP with Periodic Initial Configuration (2006) (261)
Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs (2004) (248)
Anisotropic Growth of Random Surfaces in 2 + 1 Dimensions (2008) (236)
Biorthogonal ensembles (1998) (209)
From duality to determinants for q-TASEP and ASEP (2012) (184)
Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension (2012) (183)
Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel (1999) (171)
A Fredholm determinant formula for Toeplitz determinants (1999) (168)
Large time asymptotics of growth models on space-like paths I: PushASEP (2007) (164)
Lectures on integrable probability (2012) (154)
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes (2001) (144)
Height Fluctuations for the Stationary KPZ Equation (2014) (137)
The Ginibre Ensemble of Real Random Matrices and its Scaling Limits (2008) (132)
Integrable probability: From representation theory to Macdonald processes (2013) (125)
Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity (2012) (125)
Stochastic six-vertex model (2014) (122)
Averages of characteristic polynomials in random matrix theory (2004) (119)
Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory (2001) (113)
Transition between Airy1 and Airy2 processes and TASEP fluctuations (2007) (113)
Higher spin six vertex model and symmetric rational functions (2016) (112)
Large Time Asymptotics of Growth Models on Space-like Paths II: PNG and Parallel TASEP (2007) (112)
Infinite Random Matrices and Ergodic Measures (2000) (110)
POINT PROCESSES AND THE INFINITE SYMMETRIC GROUP (1998) (106)
On a family of symmetric rational functions (2014) (105)
q-Distributions on boxed plane partitions (2009) (98)
Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory (2007) (94)
General β‐Jacobi Corners Process and the Gaussian Free Field (2013) (94)
Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process (2006) (85)
Periodic Schur process and cylindric partitions (2006) (85)
Determinantal point processes (2009) (73)
Schur dynamics of the Schur processes (2010) (72)
On adding a list of numbers (and other one-dependent determinantal processes) (2009) (71)
Discrete gap probabilities and discrete Painlevé equations (2001) (70)
Z-measures on partitions and their scaling limits (2002) (68)
Spectral theory for the $q$-Boson particle system (2013) (68)
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials (1999) (67)
CLT for spectra of submatrices of Wigner random matrices (2010) (66)
Stochastic higher spin six vertex model and Macdonald measures (2016) (64)
Nearest neighbor Markov dynamics on Macdonald processes (2013) (64)
Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz (2014) (64)
Isomonodromy transformations of linear systems of difference equations (2002) (63)
A model for the bus system in Cuernavaca (Mexico) (2005) (62)
Coloured stochastic vertex models and their spectral theory (2018) (62)
Infinite-dimensional diffusions as limits of random walks on partitions (2007) (61)
Random partitions and the gamma kernel (2003) (61)
Two Speed TASEP (2009) (59)
Lectures on Integrable Probability: stochastic vertex models and symmetric functions (2016) (58)
Discrete Time q-TASEPs (2013) (57)
The boundary of the Gelfand–Tsetlin graph: A new approach (2011) (56)
Markov processes on partitions (2004) (56)
The ASEP and Determinantal Point Processes (2016) (56)
Random surface growth with a wall and Plancherel measures for O (∞) (2009) (56)
Shuffling algorithm for boxed plane partitions (2008) (55)
Z-Measures on Partitions, Robinson-Schensted-Knuth Correspondence, and beta=2 Random Matrix Ensembles (1999) (54)
Observables of Macdonald processes (2013) (53)
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary (2010) (52)
Asymptotics of Plancherel measures for the infinite-dimensional unitary group (2007) (50)
Representations of the Infinite Symmetric Group (2016) (49)
Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process (2018) (46)
Distribution of the First Particle in Discrete Orthogonal Polynomial Ensembles (2002) (46)
Janossy Densities. I. Determinantal Ensembles (2002) (45)
Directed random polymers via nested contour integrals (2015) (45)
GAUSSIAN ASYMPTOTICS OF DISCRETE β-ENSEMBLES (2017) (44)
Moduli spaces of d-connections and difference Painlevé equations (2004) (43)
Stochastic dynamics related to Plancherel measure on partitions (2004) (42)
Renormalized Energy Concentration in Random Matrices (2012) (41)
Asymptotics of Plancherel-type random partitions (2006) (40)
The Young bouquet and its boundary (2011) (39)
Riemann-Hilbert problem and the discrete Bessel Kernel (1999) (39)
Between the stochastic six vertex model and Hall-Littlewood processes (2016) (36)
Meixner polynomials and random partitions (2006) (36)
Markov processes of infinitely many nonintersecting random walks (2011) (36)
Moments Match between the KPZ Equation and the Airy Point Process (2016) (35)
Gaussian asymptotics of discrete β$\beta $-ensembles (2015) (35)
Giambelli compatible point processes (2005) (35)
Maximum of Dyson Brownian motion and non-colliding systems with a boundary (2009) (34)
HALF-SPACE MACDONALD PROCESSES (2018) (33)
Multiplicative central measures on the Schur graph (1999) (33)
Harmonic analysis on the infinite symmetric group (2001) (33)
Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure (2008) (32)
Phase transitions in the ASEP and stochastic six-vertex model (2016) (32)
Shift‐invariance for vertex models and polymers (2019) (31)
Moments and Lyapunov exponents for the parabolic Anderson model (2012) (31)
Point Processes and the Infinite Symmetric Group. Part II: Higher Correlation Functions (1998) (31)
Stochastic six-vertex model in a half-quadrant and half-line open ASEP (2017) (30)
Representation Theory and Random Point Processes (2004) (30)
Limits of determinantal processes near a tacnode (2009) (29)
Random tilings and Markov chains for interlacing particles (2015) (29)
Point processes and the infinite symmetric group. Part III: Fermion point processes (1998) (28)
Duality of Orthogonal Polynomials on a Finite Set (2001) (28)
Color-position symmetry in interacting particle systems (2019) (27)
Multiplicative functionals on ensembles of non-intersecting paths (2013) (25)
Limit shapes for growing extreme characters of U( (2013) (24)
Limit Jordan normal form of large triangular matrices over a finite field (1995) (21)
Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles (2013) (20)
Anisotropic $$(2+1)$$(2+1)d growth and Gaussian limits of q-Whittaker processes (2016) (20)
Nonsymmetric Macdonald polynomials via integrable vertex models (2019) (19)
Symmetric elliptic functions, IRF models, and dynamic exclusion processes (2017) (19)
The law of large numbers and the central limit theorem for the jordan normal form of large triangular matrices over a finite field (1999) (19)
Gibbs Ensembles of Nonintersecting Paths (2008) (18)
Stochastic Heat Equation Limit of a (2 + 1)d Growth Model (2016) (18)
Point Processes and the Infinite Symmetric Group. Part IV: Matrix Whittaker kernel (1998) (17)
Colored Fermionic Vertex Models and Symmetric Functions (2021) (17)
A stochastic telegraph equation from the six-vertex model (2018) (17)
SCHUR PROCESS , AND THEIR PFAFFIAN ANALOGS (2006) (17)
An irreversible local Markov chain that preserves the six vertex model on a torus (2015) (16)
Spin q–Whittaker polynomials (2017) (16)
Inhomogeneous exponential jump model (2017) (15)
Plancherel representations of U(∞) and correlated Gaussian Free Fields (2013) (15)
A note on the Pfaffian integration theorem (2007) (15)
τ-function of discrete isomonodromy transformations and probability (2007) (14)
Correlation Functions of Asymmetric Real Matrices (2007) (13)
Product Matrix Processes as Limits of Random Plane Partitions (2018) (12)
On moments of the parabolic Anderson model (2012) (12)
Correlation Kernels for Discrete Symplectic and Orthogonal Ensembles (2007) (12)
Stochasticization of Solutions to the Yang–Baxter Equation (2018) (11)
Correlation Functions of Ensembles of Asymmetric Real Matrices (2007) (11)
Dynamic ASEP, duality and continuous $q^{-1}$-Hermite polynomials (2017) (11)
Observables of coloured stochastic vertex models and their polymer limits (2020) (10)
Plancherel representations of $U(\infty)$ and correlated Gaussian Free Fields (2013) (9)
Two-dimensional anisotropic KPZ growth and limit shapes (2018) (9)
Characters of the symmetric groups and correlation functions of point processes (2000) (9)
Erratum to: The Ginibre Ensemble of Real Random Matrices and its Scaling Limits (2016) (7)
Improving the Development Technology of an Oil and Gas Company Using the Minimax Optimality Criterion (2021) (7)
Point processes and the infinite symmetric group. Part VI: Summary of results (1998) (7)
Representations of the Infinite Symmetric Group by Alexei Borodin (2016) (6)
Loop-free Markov chains as determinantal point processes (2006) (6)
Asymptotic representation theory and Riemann — Hilbert problem (2001) (5)
A CLT Plancherel representations of the infinite-dimensional unitary group (2012) (5)
Free fermion six vertex model: symmetric functions and random domino tilings (2021) (4)
Deformed Polynuclear Growth in $(1+1)$ Dimensions (2021) (3)
A possibility to use respiratory noises for diver detection and monitoring physiologic status (2014) (3)
Inhomogeneous spin $q$-Whittaker polynomials (2021) (2)
A Classical Limit of Noumi's q-Integral Operator (2015) (2)
Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz (2015) (2)
THE IMPACT OF THE BUSINESS ENVIRONMENT ON THE EFFECTIVENESS OF THE IMPLEMENTATION OF THE FINANCIAL STRATEGY OF THE OIL AND GAS COMPANY (2021) (2)
An Interacting Particle Process Related to Young Tableaux (2013) (2)
Correction to: Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz (2019) (2)
Stochastic Heat Equation Limit of a (2 + 1)d Growth Model (2016) (1)
Continuous time Markov chains related to Plancherel measure (announcement of results) (2004) (1)
N ov 2 00 1 FREDHOLM DETERMINANTS , JIMBO-MIWA-UENO TAU-FUNCTIONS , AND REPRESENTATION THEORY (2001) (1)
Discrete-time anisotropic KPZ growth of random surface in 2+1 dimensions (2013) (1)
Estimation and Prediction Dynamics of the Spread of the Coronavirus Infection Using Minimax Approximation Criterion and Polynomial Splines (2022) (1)
Height Fluctuations for the Stationary KPZ Equation (2015) (1)
Preliminary Facts From Representation Theory of Finite Symmetric Groups (2017) (0)
Random matrix representations of critical statistics (2018) (0)
INFINITE RANDOM MATRICES AND ERGODIC (2009) (0)
Stochasticization of Solutions to the Yang–Baxter Equation (2019) (0)
Correction to: Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz (2019) (0)
Schur and Macdonald processes (2003) (0)
Inhomogeneous exponential jump model (2017) (0)
Correction to: Height Fluctuations for the Stationary KPZ Equation (2021) (0)
Generalized Regular Representations Tz (2017) (0)
Higher spin six vertex model and symmetric rational functions (2016) (0)
An Interacting Particle Process Related to Young Tableaux (2014) (0)
Asymptotics of Relative Dimension in the Young Graph (2017) (0)
Extreme Characters and Thoma's Theorem (2017) (0)
Disjointness of Representations Tz (2017) (0)
Anisotropic Growth of Random Surfaces in 2 + 1 Dimensions (2013) (0)
Markov processes of infinitely many nonintersecting random walks (2012) (0)
Macdonald processes (2013) (0)
Ju l 2 00 7 A note on the Pfaffian integration theorem (2008) (0)
Renormalized Energy Concentration in Random Matrices (2013) (0)
N ov 2 01 5 DIRECTED RANDOM POLYMERS VIA NESTED CONTOUR INTEGRALS (2015) (0)
Theory of Symmetric Functions (2017) (0)
Koszul Algebras Associated to Graphs Dmitri Piontkovski (2006) (0)
On a super-analog of the Schur-Weyl Duality (2022) (0)
The ASEP and Determinantal Point Processes (2017) (0)
Correction to: Height Fluctuations for the Stationary KPZ Equation (2021) (0)
Recent Progress in Random Conformal Geometry (2014) (0)
Coherent Systems on the Young Graph (2017) (0)
EQUATION FROM THE SIX-VERTEX MODEL By (2019) (0)
Classification of General Spherical Type Representations (2017) (0)
AND β = 2 RANDOM MATRIX ENSEMBLES (2018) (0)
Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity (2013) (0)
TASEP with a moving wall (2021) (0)
0 01 00 15 v 1 1 1 O ct 2 00 0 INFINITE RANDOM MATRICES AND ERGODIC MEASURES (0)
Introducing PMP (2020) (0)
A CLT Plancherel representations of the infinite-dimensional unitary group (2013) (0)
Preliminaries and Gelfand Pairs (2017) (0)
Boundaries and Gibbs Measures on Paths (2017) (0)
Realization of Irreducible Spherical Representations of (S(∞) × S(∞), diagS(∞)) (2017) (0)
The Young Bouquet and Its Boundary Citation Borodin , Alexei and Grigori Olshanski (2011) (0)
Growth of Random Surfaces (2011) (0)
Erratum to: The Ginibre Ensemble of Real Random Matrices and its Scaling Limits (2016) (0)
A Toy Model (the Pascal Graph) and de Finetti's Theorem (2017) (0)

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