A. Borodin

发表

Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

E. Rains, A. Borodin, 2004, math-ph/0409059.

Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel

G. Olshanski, A. Borodin, 1999, math/9904010.

On adding a list of numbers (and other one-dependent determinantal processes)

P. Diaconis, A. Borodin, Jason E. Fulman, 2009, 0904.3740.

Janossy Densities. I. Determinantal Ensembles

A. Soshnikov, A. Borodin, 2002, math-ph/0212063.

Asymptotics of Plancherel measures for symmetric groups

G. Olshanski, A. Okounkov, A. Borodin, 1999, math/9905032.

Representations of the Infinite Symmetric Group

G. Olshanski, A. Borodin, 2016 .

Markov processes on partitions

Grigori Olshanski, Alexei Borodin, G. Olshanski, 2004 .

Harmonic analysis on the infinite symmetric group

A. Borodin, 2001 .

Macdonald processes

A. Borodin, Ivan Corwin, 2011, Probability Theory and Related Fields.

Discrete Time q-TASEPs

A. Borodin, Ivan Corwin, 2013, 1305.2972.

Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes

G. Olshanski, A. Borodin, 2001, math/0109194.

CLT for spectra of submatrices of Wigner random matrices

Alexei Borodin, A. Borodin, 2010, 1010.0898.

General β‐Jacobi Corners Process and the Gaussian Free Field

Alexei Borodin, Vadim Gorin, A. Borodin, 2013, 1305.3627.

Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory

Alexei Borodin, Sandrine Péché, S. Péché, 2007, 0712.1086.

Shuffling algorithm for boxed plane partitions

Alexei Borodin, Vadim Gorin, A. Borodin, 2008, 0804.3071.

q-Distributions on boxed plane partitions

Alexei Borodin, Eric M. Rains, Vadim Gorin, 2009, 0905.0679.

Periodic Schur process and cylindric partitions

Alexei Borodin, A. Borodin, 2006 .

Asymptotics of Plancherel-type random partitions

Grigori Olshanski, Alexei Borodin, G. Olshanski, 2007 .

Gibbs Ensembles of Nonintersecting Paths

S. Shlosman, A. Borodin, 2008, 0804.0564.

Renormalized Energy Concentration in Random Matrices

Alexei Borodin, Sylvia Serfaty, A. Borodin, 2012, 1201.2853.

Higher spin six vertex model and symmetric rational functions

A. Borodin, L. Petrov, 2016, 1601.05770.

Lectures on Integrable Probability: stochastic vertex models and symmetric functions

A. Borodin, L. Petrov, Leonid Petrov, 2016, 1605.01349.

Meixner polynomials and random partitions

G. Olshanski, A. Borodin, 2006, math/0609806.

Discrete gap probabilities and discrete Painlevé equations

A. Borodin, 2001, math-ph/0111008.

HALF-SPACE MACDONALD PROCESSES

A. Borodin, Ivan Corwin, Guillaume Barraquand, 2018, Forum of Mathematics, Pi.

Random surface growth with a wall and Plancherel measures for O (∞)

A. Borodin, Jeffrey Kuan, 2009, 0904.2607.

An irreversible local Markov chain that preserves the six vertex model on a torus

A. Borodin, Alexey Bufetov, 2015, 1509.05070.

EQUATION FROM THE SIX-VERTEX MODEL By

A. Borodin, V. Gorin, Alexei Borodin, 2019 .

Directed random polymers via nested contour integrals

A. Borodin, Ivan Corwin, Alexey Bufetov, 2015, 1511.07324.

Observables of Macdonald processes

A. Borodin, V. Gorin, Ivan Corwin, 2013, 1306.0659.

Determinantal point processes

Alexei Borodin, A. Borodin, Alexei Borodin, 2009, 0911.1153.

Plancherel representations of U(∞) and correlated Gaussian Free Fields

A. Borodin, Alexey Bufetov, 2013 .

Moduli spaces of d-connections and difference Painlevé equations

A. Borodin, D. Arinkin, 2004, math/0411584.

The law of large numbers and the central limit theorem for the jordan normal form of large triangular matrices over a finite field

A. Borodin, 1999 .

Markov processes on partitions

G. Olshanski, A. Borodin, 2004, math-ph/0409075.

Limit shapes for growing extreme characters of U(

G. Olshanski, A. Borodin, Alexey Bufetov, 2013, 1311.5697.

N ov 2 01 5 DIRECTED RANDOM POLYMERS VIA NESTED CONTOUR INTEGRALS

A. Borodin, Ivan Corwin, Alexey Bufetov, 2015 .

Infinite Random Matrices and Ergodic Measures

G. Olshanski, A. Borodin, 2000, math-ph/0010015.

Z-measures on partitions and their scaling limits

G. Olshanski, A. Borodin, 2002, Eur. J. Comb..

THE IMPACT OF THE BUSINESS ENVIRONMENT ON THE EFFECTIVENESS OF THE IMPLEMENTATION OF THE FINANCIAL STRATEGY OF THE OIL AND GAS COMPANY

A. Borodin, N. Natocheeva, I. Khominich, 2021, International Journal of Energy Economics and Policy.

Asymptotics of Plancherel measures for the infinite-dimensional unitary group

A. Borodin, Jeffrey Kuan, 2007, 0712.1848.

Stochastic dynamics related to Plancherel measure on partitions

G. Olshanski, A. Borodin, 2004, math-ph/0402064.

Random partitions and the gamma kernel

G. Olshanski, A. Borodin, 2003, math-ph/0305043.

Riemann-Hilbert problem and the discrete Bessel Kernel

A. Borodin, 1999, math/9912093.

Meixner polynomials and random partitions

G. Olshanski, A. Borodin, 2006, math/0609806.

Asymptotics of Plancherel-type random partitions

G. Olshanski, A. Borodin, 2006, math/0610240.

Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials

G. Olshanski, A. Borodin, 1999, Electron. J. Comb..

Biorthogonal ensembles

A. Borodin, 1998, math/9804027.

Isomonodromy transformations of linear systems of difference equations

A. Borodin, 2002, math/0209144.

A stochastic telegraph equation from the six-vertex model

A. Borodin, V. Gorin, 2018, The Annals of Probability.

AND β = 2 RANDOM MATRIX ENSEMBLES

A. Borodin, 2018 .

Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory

P. Deift, A. Borodin, 2001, math-ph/0111007.

Discrete gap probabilities and discrete Painlevé equations

A. Borodin, 2001, math-ph/0111008.

Z-Measures on Partitions, Robinson-Schensted-Knuth Correspondence, and beta=2 Random Matrix Ensembles

G. Olshanski, A. Borodin, 1999, math/9905189.

Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel

G. Olshanski, A. Borodin, 1999, math/9904010.

Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes

G. Olshanski, A. Borodin, 2001, math/0109194.

Fluctuation Properties of the TASEP with Periodic Initial Configuration

A. Borodin, M. Praehofer, T. Sasamoto, 2006, math-ph/0608056.

Averages of characteristic polynomials in random matrix theory

A. Borodin, E. Strahov, 2004, math-ph/0407065.

Distribution of the First Particle in Discrete Orthogonal Polynomial Ensembles

A. Borodin, Dmitriy Boyarchenko, 2002, math-ph/0204001.

Giambelli compatible point processes

G. Olshanski, A. Borodin, E. Strahov, 2005, Adv. Appl. Math..

Moduli spaces of d-connections and difference Painlevé equations

A. Borodin, D. Arinkin, 2004, math/0411584.

Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

E. Rains, A. Borodin, 2004, math-ph/0409059.

Janossy Densities. I. Determinantal Ensembles

A. Soshnikov, A. Borodin, 2002, math-ph/0212063.

Asymptotic representation theory and Riemann — Hilbert problem

A. Borodin, 2001, math/0110318.

Point processes and the infinite symmetric group. Part III: Fermion point processes

G. Olshanski, A. Borodin, 1998, math/9804088.

Point Processes and the Infinite Symmetric Group. Part II: Higher Correlation Functions

A. Borodin, 1998, math/9804087.

Transition between Airy1 and Airy2 processes and TASEP fluctuations

A. Borodin, T. Sasamoto, P. Ferrari, 2007, math-ph/0703023.

Colored fermionic vertex models and symmetric functions

A. Borodin, A. Aggarwal, M. Wheeler, 2021, Communications of the American Mathematical Society.

Stochastic six-vertex model in a half-quadrant and half-line open ASEP

A. Borodin, Ivan Corwin, M. Wheeler, 2017, 1704.04309.

Point processes and the infinite symmetric group. Part VI: Summary of results

G. Olshanski, A. Borodin, 1998, math/9810015.

Duality of Orthogonal Polynomials on a Finite Set

A. Borodin, 2001, math/0101125.

Dynamic ASEP, duality and continuous $q^{-1}$-Hermite polynomials

A. Borodin, Ivan Corwin, 2017, 1705.01980.

The ASEP and Determinantal Point Processes

G. Olshanski, A. Borodin, 2017, Communications in Mathematical Physics.

Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz

A. Borodin, L. Petrov, T. Sasamoto, 2014, 1407.8534.

Renormalized Energy Concentration in Random Matrices

A. Borodin, S. Serfaty, 2013, Communications in Mathematical Physics.

Inhomogeneous exponential jump model

A. Borodin, L. Petrov, 2017, Probability Theory and Related Fields.

Markov processes of infinitely many nonintersecting random walks

A. Borodin, V. Gorin, 2012, Probability Theory and Related Fields.

Stochastic Heat Equation Limit of a (2 + 1)d Growth Model

F. Toninelli, A. Borodin, Ivan Corwin, 2016, Communications in Mathematical Physics.

Stochastic six-vertex model

A. Borodin, V. Gorin, Ivan Corwin, 2014, 1407.6729.

Phase transitions in the ASEP and stochastic six-vertex model

A. Borodin, A. Aggarwal, 2016, The Annals of Probability.

Height Fluctuations for the Stationary KPZ Equation

A. Borodin, Ivan Corwin, P. Ferrari, 2014, 1407.6977.

Lectures on integrable probability

A. Borodin, V. Gorin, 2012, 1212.3351.

Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension

Alexei Borodin, Ivan Corwin, Patrik Ferrari, 2012, 1204.1024.

Large time asymptotics of growth models on space-like paths I: PushASEP

A. Borodin, Wias Berlin, Patrik L. Ferrari Caltech, 2007, 0707.2813.

Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process

A. Borodin, P. Ferrari, Michael Prahofer Caltech, 2006, math-ph/0611071.

Improving the Development Technology of an Oil and Gas Company Using the Minimax Optimality Criterion

Manuela Tvaronavičienė, Alex Borodin, Irina Vygodchikova, 2021, Energies.

Integrable probability: From representation theory to Macdonald processes

A. Borodin, L. Petrov, 2013, 1310.8007.

Nearest neighbor Markov dynamics on Macdonald processes

A. Borodin, L. Petrov, 2013, 1305.5501.

The Young bouquet and its boundary

G. Olshanski, A. Borodin, 2011, 1110.4458.

The Young Bouquet and Its Boundary Citation Borodin , Alexei and Grigori Olshanski

A. Borodin, 2011 .

POINT PROCESSES AND THE INFINITE SYMMETRIC GROUP

Grigori Olshanski, Alexei Borodin, G. Olshanski, 1998 .

Spectral theory for the $q$-Boson particle system

A. Borodin, L. Petrov, T. Sasamoto, 2013, Compositio Mathematica.

A Fredholm determinant formula for Toeplitz determinants

Alexei Borodin, Andrei Okounkov, A. Okounkov, 1999, math/9907165.

Shift‐invariance for vertex models and polymers

A. Borodin, V. Gorin, M. Wheeler, 2019, Proceedings of the London Mathematical Society.

Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process

A. Borodin, Ivan Corwin, M. Wheeler, 2018, Duke Mathematical Journal.

Coloured stochastic vertex models and their spectral theory

A. Borodin, M. Wheeler, 2018, Astérisque.

Inhomogeneous spin $q$-Whittaker polynomials

Alexei Borodin, Sergei Korotkikh, A. Borodin, 2021, 2104.01415.

Spin q–Whittaker polynomials

A. Borodin, M. Wheeler, 2017, Advances in Mathematics.

Observables of coloured stochastic vertex models and their polymer limits

A. Borodin, M. Wheeler, 2020, 2001.04913.

Nonsymmetric Macdonald polynomials via integrable vertex models

A. Borodin, M. Wheeler, 2019, Transactions of the American Mathematical Society.

Inhomogeneous exponential jump model

A. Borodin, L. Petrov, 2017, 1703.03857.

Symmetric elliptic functions, IRF models, and dynamic exclusion processes

A. Borodin, 2017, 1701.05239.

Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz

A. Borodin, L. Petrov, T. Sasamoto, 2015, Communications in Mathematical Physics.

On a family of symmetric rational functions

A. Borodin, 2014, 1410.0976.

Stochasticization of Solutions to the Yang–Baxter Equation

A. Borodin, A. Aggarwal, Alexey Bufetov, 2019, Annales Henri Poincaré.

Stochasticization of Solutions to the Yang–Baxter Equation

A. Borodin, A. Aggarwal, Alexey Bufetov, 2018, Annales Henri Poincaré.

TASEP with a moving wall

Alexei Borodin, Alexey Bufetov, Patrik L. Ferrari MIT, 2021, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.

Deformed Polynuclear Growth in $(1+1)$ Dimensions

Amol Aggarwal, Alexei Borodin, Michael Wheeler, 2021, 2108.06018.

The ASEP and Determinantal Point Processes

G. Olshanski, A. Borodin, 2016, 1608.01564.

From duality to determinants for q-TASEP and ASEP

A. Borodin, T. Sasamoto, Ivan Corwin, 2012, 1207.5035.

Markov processes of infinitely many nonintersecting random walks

A. Borodin, V. Gorin, 2011, 1106.1299.

Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary

G. Olshanski, A. Borodin, 2010, 1009.2029.

A model for the bus system in Cuernavaca (Mexico)

J. Baik, P. Deift, A. Borodin, 2005, math/0510414.

Koszul Algebras Associated to Graphs Dmitri Piontkovski

A. Borodin, D. Piontkovski, 2006 .

Correlation Kernels for Discrete Symplectic and Orthogonal Ensembles

A. Borodin, E. Strahov, 2007, 0712.1693.

Product Matrix Processes as Limits of Random Plane Partitions

A. Borodin, V. Gorin, E. Strahov, 2018, International Mathematics Research Notices.

Gaussian asymptotics of discrete β$\beta $-ensembles

A. Guionnet, A. Borodin, V. Gorin, 2015, 1505.03760.

GAUSSIAN ASYMPTOTICS OF DISCRETE β-ENSEMBLES

A. Guionnet, A. Borodin, V. Gorin, 2016 .

The Ginibre Ensemble of Real Random Matrices and its Scaling Limits

C. Sinclair, A. Borodin, 2008, 0805.2986.

Large Time Asymptotics of Growth Models on Space-like Paths II: PNG and Parallel TASEP

Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto, 2007, 0707.4207.

Anisotropic (2+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(2+1)$$\end{document}d growth and Gaussian limits of

A. Borodin, Ivan Corwin, P. Ferrari, 2016, Probability Theory and Related Fields.

Stochastic Heat Equation Limit of a (2 + 1)d Growth Model

F. Toninelli, A. Borodin, Ivan Corwin, 2016, 1601.02767.

Plancherel representations of $U(\infty)$ and correlated Gaussian Free Fields

A. Borodin, Alexey Bufetov, Alexey I. Bufetov, 2013, 1301.0511.

A CLT Plancherel representations of the infinite-dimensional unitary group

A. Borodin, Alexey Bufetov, 2012, 1203.3010.

Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure

A. Borodin, P. Ferrari, 2008, 0811.0682.

Anisotropic Growth of Random Surfaces in 2 + 1 Dimensions

A. Borodin, P. Ferrari, 2008, 0804.3035.

Discrete-time anisotropic KPZ growth of random surface in 2+1 dimensions

A. Borodin, Xuwen Zhu, Wei-Xiong Chen, 2013 .

A Classical Limit of Noumi's q-Integral Operator

A. Borodin, Ivan Corwin, Daniel Remenik, 2015, 1509.00701.

Multiplicative functionals on ensembles of non-intersecting paths

A. Borodin, Ivan Corwin, Daniel Remenik, 2013, 1301.7450.

Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity

A. Borodin, Ivan Corwin, Daniel Remenik, 2012, 1206.4573.

Two Speed TASEP

A. Borodin, T. Sasamoto, P. Ferrari, 2009, 0904.4655.

Representations of the Infinite Symmetric Group by Alexei Borodin

G. Olshanski, A. Borodin, 2016 .

Representation Theory and Random Point Processes

Grigori Olshanski, Alexei Borodin, G. Olshanski, 2004, math/0409333.

Free fermion six vertex model: symmetric functions and random domino tilings

A. Borodin, L. Petrov, A. Aggarwal, 2021, Selecta Mathematica.

Integrable probability: From representation theory to Macdonald processes

A. Borodin, L. Petrov, 2013, 1310.8007.

Periodic Schur process and cylindric partitions

A. Borodin, 2006, math/0601019.

Asymptotics of Plancherel measures for symmetric groups

G. Olshanski, A. Okounkov, A. Borodin, 1999, math/9905032.

Determinantal point processes

A. Borodin, 2018 .

Stochastic higher spin six vertex model and Macdonald measures

A. Borodin, 2016, 1608.01553.

Markov dynamics on the Thoma cone: a model of time-dependent determinantal processes with infinitely many particles

G. Olshanski, A. Borodin, 2013, 1303.2794.

Limits of determinantal processes near a tacnode

A. Borodin, M. Duits, 2009, 0911.1980.

Continuous time Markov chains related to Plancherel measure (announcement of results)

G. Olshanski, A. Borodin, 2004 .

SCHUR PROCESS , AND THEIR PFAFFIAN ANALOGS

Alexei Borodin, A. Borodin, 2006 .

N ov 2 00 1 FREDHOLM DETERMINANTS , JIMBO-MIWA-UENO TAU-FUNCTIONS , AND REPRESENTATION THEORY

P. Deift, A. Borodin, 2001 .

Markov Dynamics on the Thoma Cone: a Model of Time-dependent Determinantal Processes with Infinitely Many Particles

G. Olshanski, A. Borodin, 2022 .

Between the stochastic six vertex model and Hall-Littlewood processes

A. Borodin, Alexey Bufetov, M. Wheeler, 2016, 1611.09486.

Moments and Lyapunov exponents for the parabolic Anderson model

A. Borodin, Ivan Corwin, 2012, 1211.7125.

On moments of the parabolic Anderson model

A. Borodin, Ivan Corwin, 2012 .

Communications in Mathematical Physics Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity

A. Borodin, Ivan Corwin, Daniel Remenik, 2013 .

Point processes and the infinite symmetric group. Part III: Fermion point processes

G. Olshanski, A. Borodin, 1998, math/9804088.

Characters of the symmetric groups and correlation functions of point processes

A. Borodin, 2000 .

Maximum of Dyson Brownian motion and non-colliding systems with a boundary

A. Borodin, J. Warren, T. Sasamoto, 2009, 0905.3989.

τ-function of discrete isomonodromy transformations and probability

A. Borodin, D. Arinkin, 2007, Compositio Mathematica.

Coloured corner processes from asymptotics of LLT polynomials

A. Borodin, Amol Aggarwal, Michael Wheeler, 2023, 2309.05970.

Random tilings and Markov chains for interlacing particles

U. Bonn, A. Borodin, P. L. F. Mit, 2015, 1506.03910.

Color-position symmetry in interacting particle systems

A. Borodin, Alexey Bufetov, 2019, The Annals of Probability.

The boundary of the Gelfand–Tsetlin graph: A new approach

G. Olshanski, A. Borodin, 2011, 1109.1412.

A note on the Pfaffian integration theorem

A. Borodin, E. Kanzieper, 2007, 0707.2784.

Ju l 2 00 7 A note on the Pfaffian integration theorem

A. Borodin, E. Kanzieper, 2008 .

Infinite-dimensional diffusions as limits of random walks on partitions

Grigori Olshanski, Alexei Borodin, G. Olshanski, 2007, 0706.1034.

Multiplicative central measures on the Schur graph

A. Borodin, 1999 .

Two-dimensional anisotropic KPZ growth and limit shapes

F. Toninelli, A. Borodin, 2018, Journal of Statistical Mechanics: Theory and Experiment.