Publications partially supported by the NSF FRG grant


  1. [March 2, 2024] 2403.01341 [math.PR]

    Amol Aggarwal, Ivan Corwin, Milind Hegde, “Scaling limit of the colored ASEP and stochastic six-vertex models” (arXiv)

  2. [February 9, 2024] 2402.06868 [math.PR]

    Amol Aggarwal, Alexei Borodin, “Colored Line Ensembles for Stochastic Vertex Models” (arXiv)

  3. [October 15, 2023] 2310.10019 [math.PR]

    Guillaume Barraquand, Ivan Corwin, Sayan Das, “KPZ exponents for the half-space log-gamma polymer” (arXiv)

  4. [September 21, 2023] 2309.11865 [math.PR]

    Amol Aggarwal, Matthew Nicoletti, Leonid Petrov, “Colored Interacting Particle Systems on the Ring: Stationary Measures from Yang-Baxter Equation” (arXiv)

  5. [September 12, 2023] 2309.05970 [math.PR]

    Amol Aggarwal, Alexei Borodin, Michael Wheeler, “Coloured corner processes from asymptotics of LLT polynomials” (arXiv)

  6. [May 28, 2023] 2305.17747 [math.PR]

    Svetlana Gavrilova, Leonid Petrov, “Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests” (arXiv)

  7. [May 22, 2023] 2305.13231 [math.GR]

    Anna Erschler, Josh Frisch, Mark Rychnovsky, “Poisson Boundary for Upper-Triangular Groups” (arXiv)

  8. [March 4, 2023] 2303.02380 [math.PR]

    Leonid Petrov, Mikhail Tikhonov, “Asymptotics of noncolliding q-exchangeable random walks” (arXiv)

  9. [December 19, 2022] 2212.09905 [math.PR]

    Hindy Drillick, Yier Lin, “Strong law of large numbers for the stochastic six vertex model” (arXiv)

  10. [December 14, 2022] 2212.07349 [math.PR]

    Guillaume Barraquand, Ivan Corwin, “Markov duality and Bethe ansatz formula for half-line open ASEP” (arXiv)

  11. [December 13, 2022] 2212.06806 [math.PR]

    Ivan Corwin, Milind Hegde, “The lower tail of $q$-pushTASEP” (arXiv)

  12. [December 3, 2022] 2212.01643 [math.PR]

    Leonid Petrov, Axel Saenz, “Rewriting History in Integrable Stochastic Particle Systems” (arXiv)

  13. [July 18, 2022] 2207.09000 [math.PR]

    Vadim Gorin, Jiaming Xu, “Random sorting networks: edge limit” (arXiv)

  14. [May 31, 2022] 2205.15785 [math.PR]

    Vadim Gorin, Jiaoyang Huang, “Dynamical Loop Equation” (arXiv)

  15. [April 19, 2022] 2204.09206 [math.PR]

    Leonid Petrov, “Noncolliding Macdonald walks with an absorbing wall” (arXiv)

  16. [April 11, 2022] 2204.05395 [math.PR]

    Amol Aggarwal, Ivan Corwin, Promit Ghosal, “The ASEP speed process” (arXiv)

  17. [March 21, 2022] 2203.11037 [math.PR]

    Guillaume Barraquand, Ivan Corwin, “Stationary measures for the log-gamma polymer and KPZ equation in half-space” (arXiv)

  18. [January 28, 2022] 2201.12497 [math.PR]

    Matthew Nicoletti, Leonid Petrov, “Irreversible Markov Dynamics and Hydrodynamics for KPZ States in the Stochastic Six Vertex Model” (arXiv)

  19. [January 18, 2022] 2201.07270 [math.PR]

    Guillaume Barraquand, Mark Rychnovsky, “Random walk on nonnegative integers in beta distributed random environment” (arXiv)

  20. [January 14, 2022] 2201.05665 [math-ph]

    Ivan Corwin, Percy Deift, Alexander Its, “Harold Widom’s work in random matrix theory” (arXiv)

  21. [December 7, 2021] 2112.03725 [math.PR]

    Roger Van Peski, “$q$-TASEP with position-dependent slowing” (arXiv)

  22. [December 3, 2021] 2112.02147 [math.CO]

    Roger Van Peski, “Hall-Littlewood polynomials, boundaries, and $p$-adic random matrices” (arXiv)

  23. [September 15, 2021] 2109.07375 [math.PR]

    Andrew Ahn, Roger Van Peski, “Lyapunov exponents for truncated unitary and Ginibre matrices” (arXiv)

  24. [September 14, 2021] 2109.06718 [math.PR]

    Amol Aggarwal, Alexei Borodin, Leonid Petrov, Michael Wheeler, “Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings” (arXiv)

  25. [September 13, 2021] 2109.06272 [math.PR]

    Dmitry Chelkak, Benoît Laslier, Marianna Russkikh, “Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces” (arXiv)

  26. [August 12, 2021] 2108.06018 [math.PR]

    Amol Aggarwal, Alexei Borodin, Michael Wheeler, “Deformed Polynuclear Growth in $(1+1)$ Dimensions” (arXiv)

  27. [June 14, 2021] 2106.07589 [math.PR]

    Amol Aggarwal, Vadim Gorin, “Gaussian Unitary Ensemble in random lozenge tilings” (arXiv)

  28. [May 11, 2021] 2105.05283 [math.PR]

    Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov, “Maximal free energy of the log-gamma polymer” (arXiv)

  29. [May 8, 2021] 2105.03795 [math-ph]

    Florent Benaych-Georges, Cesar Cuenca, Vadim Gorin, “Matrix addition and the Dunkl transform at high temperature” (arXiv)

  30. [May 2, 2021] 2105.00551 [math.PR]

    Andrew Ahn, Marianna Russkikh, Roger Van Peski, “Lozenge tilings and the Gaussian free field on a cylinder” (arXiv)

  31. [April 3, 2021] 2104.01415 [math.CO]

    Alexei Borodin, Sergei Korotkikh, “Inhomogeneous spin $q$-Whittaker polynomials” (arXiv)

  32. [March 22, 2021] 2103.12253 [math.PR]

    Ivan Corwin, Alisa Knizel, “Stationary measure for the open KPZ equation” (arXiv)

  33. [January 11, 2021] 2101.04205 [math.PR]

    Ivan Corwin, Alan Hammond, Milind Hegde, Konstantin Matetski, “Exceptional times when the KPZ fixed point violates Johansson’s conjecture on maximizer uniqueness” (arXiv)

  34. [January 8, 2021] 2101.03045 [math.PR]

    Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov, “Spatial tightness at the edge of Gibbsian line ensembles” (arXiv)

  35. [January 5, 2021] 2101.01605 [math.CO]

    Amol Aggarwal, Alexei Borodin, Michael Wheeler, “Colored Fermionic Vertex Models and Symmetric Functions” (arXiv)

  36. [December 22, 2020] 2012.12316 [math.PR]

    Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov, “Fluctuations of the log-gamma polymer free energy with general parameters and slopes” (arXiv)

  37. [November 23, 2020] 2011.11426 [math.PR]

    Alexey Bufetov, Sergei Korotkikh, “Observables of stochastic colored vertex models and local relation” (arXiv)

  38. [November 13, 2020] 2011.07726 [math.PR]

    Yuchen Liao, “Multi-point distribution of discrete time periodic TASEP” (arXiv)

  39. [September 14, 2020] 2009.06839 [math.PR]

    Andrew Ahn, “Airy Point Process via Supersymmetric Lifts” (arXiv)

  40. [September 3, 2020] 2009.02006 [math.PR]

    Vadim Gorin, Victor Kleptsyn, “Universal objects of the infinite beta random matrix theory” (arXiv)

  41. [August 16, 2020] 2008.07024 [math.PR]

    Jinho Baik, Zhipeng Liu, Guilherme L. F. Silva, “Limiting one-point distribution of periodic TASEP” (arXiv)

  42. [July 21, 2020] 2007.10886 [math.CO]

    Leonid Petrov, “Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions” (arXiv)

  43. [July 20, 2020] 2007.10212 [math.PR]

    Yier Lin, “Lyapunov exponents of the half-line SHE” (arXiv)

  44. [July 13, 2020] 2007.06505 [math.PR]

    Promit Ghosal, Yier Lin, “Lyapunov exponents of the SHE for general initial data” (arXiv)

  45. [June 25, 2020] 2006.14179 [econ.EM]

    Anna Bykhovskaya, Vadim Gorin, “Cointegration in large VARs” (arXiv)

  46. [May 14, 2020] 2005.06836 [math.PR]

    Evgeni Dimitrov, Mark Rychnovsky, “GUE corners process in boundary-weighed six-vertex models” (arXiv)

  47. [May 1, 2020] 2005.00620 [math.PR]

    Yier Lin, “The stochastic telegraph equation limit of the stochastic higher spin six vertex model” (arXiv)

  48. [April 27, 2020] 2004.13272 [math.PR]

    Amol Aggarwal, “Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models” (arXiv)

  49. [April 10, 2020] 2004.05042 [math.AG]

    Amol Aggarwal, “Large Genus Asymptotics for Intersection Numbers and Principal Strata Volumes of Quadratic Differentials” (arXiv)

  50. [March 31, 2020] 2003.14260 [math.PR]

    Matteo Mucciconi, Leonid Petrov, “Spin q-Whittaker polynomials and deformed quantum Toda” (arXiv)

  51. [March 13, 2020] 2003.06479 [math.PR]

    Alexey Bufetov, Vadim Gorin, Dan Romik, “Absorbing time asymptotics in the oriented swap process” (arXiv)

  52. [February 21, 2020] 2002.09355 [math.PR]

    Amol Aggarwal, Patrick Lopatto, Jake Marcinek, “Eigenvector Statistics of Lévy Matrices” (arXiv)

  53. [January 31, 2020] 2001.11871 [math.PR]

    Dmitry Chelkak, Benoît Laslier, Marianna Russkikh, “Dimer model and holomorphic functions on t-embeddings of planar graphs” (arXiv)

  54. [January 14, 2020] 2001.04913 [math.PR]

    Alexei Borodin, Michael Wheeler, “Observables of coloured stochastic vertex models and their polymer limits” (arXiv)

  55. [January 6, 2020] 2001.01867 [math.PR]

    Ivan Corwin, “Invariance of polymer partition functions under the geometric RSK correspondence” (arXiv)

  56. [December 25, 2019] 1912.11702 [math.GT]

    Amol Aggarwal, Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, “Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials” (arXiv)

  57. [December 20, 2019] 1912.10143 [math.PR]

    Jinho Baik, Zhipeng Liu, “Periodic TASEP with general initial conditions” (arXiv)

  58. [December 18, 2019] 1912.08671 [math.PR]

    Leonid Petrov, Mikhail Tikhonov, “Parameter symmetry in perturbed GUE corners process and reflected drifted Brownian motions” (arXiv)

  59. [December 12, 2019] 1912.06067 [math.PR]

    Leonid Petrov, “Parameter permutation symmetry in particle systems and random polymers” (arXiv)

  60. [December 5, 2019] 1912.02957 [math.PR]

    Alexei Borodin, Vadim Gorin, Michael Wheeler, “Shift-invariance for vertex models and polymers” (arXiv)

  61. [October 20, 2019] 1910.08994 [math.PR]

    Leonid Petrov, “PushTASEP in inhomogeneous space” (arXiv)

  62. [October 1, 2019] 1910.00743 [math.PR]

    Andrew Ahn, “Fluctuations of $β$-Jacobi Product Processes” (arXiv)

  63. [September 2, 2019] 1909.00946 [math.PR]

    Xuan Wu, “Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians” (arXiv)

  64. [August 6, 2019] 1908.02359 [math.PR]

    Jeffrey Kuan, “Stochastic Fusion of Interacting Particle Systems and Duality Functions” (arXiv)

  65. [July 26, 2019] 1907.11841 [math-ph]

    Cesar Cuenca, Vadim Gorin, Grigori Olshanski, “The Elliptic Tail Kernel” (arXiv)

  66. [July 23, 2019] 1907.09991 [math.PR]

    Amol Aggarwal, “Universality for Lozenge Tiling Local Statistics” (arXiv)

  67. [July 23, 2019] 1907.09876 [math.PR]

    Zhipeng Liu, “Multi-time distribution of TASEP” (arXiv)

  68. [July 22, 2019] 1907.09628 [math.PR]

    Ivan Corwin, Shalin Parekh, “Limit Shape of Subpartition Maximizing Partitions” (arXiv)

  69. [July 22, 2019] 1907.09317 [math.PR]

    Ivan Corwin, Promit Ghosal, Alan Hammond, “KPZ equation correlations in time” (arXiv)

  70. [July 22, 2019] 1907.09155 [math.PR]

    Leonid Petrov, Axel Saenz, “Mapping TASEP back in time” (arXiv)

  71. [June 10, 2019] 1906.04069 [math.PR]

    Ivan Corwin, Promit Ghosal, Konstantin Matetski, “Stochastic PDE limit of the dynamic ASEP” (arXiv)

  72. [May 31, 2019] 1905.13691 [math.PR]

    Evgeni Dimitrov, Xuan Wu, “KMT coupling for random walk bridges” (arXiv)

  73. [May 24, 2019] 1905.10280 [math.PR]

    Guillaume Barraquand, Mark Rychnovsky, “Large Deviations For Sticky Brownian Motions” (arXiv)

  74. [May 16, 2019] 1905.06815 [math.PR]

    Alexey Bufetov, Matteo Mucciconi, Leonid Petrov, “Yang-Baxter random fields and stochastic vertex models” (arXiv)

  75. [May 12, 2019] 1905.04692 [math.PR]

    Alexei Borodin, Alexey Bufetov, “Color-position symmetry in interacting particle systems” (arXiv)

  76. [May 8, 2019] 1905.02987 [math.PR]

    Zhipeng Liu, Axel Saenz, Dong Wang, “Integral formulas of ASEP and $q$-TAZRP on a Ring” (arXiv)

  77. [April 14, 2019] 1904.06804 [math-ph]

    Alexei Borodin, Michael Wheeler, “Nonsymmetric Macdonald polynomials via integrable vertex models” (arXiv)

  78. [April 5, 2019] 1904.03319 [math-ph]

    Axel Saenz, “The KPZ Universality Class and Related Topics” (arXiv)

  79. [March 30, 2019] 1904.00334 [math.PR]

    Ivan Corwin, Hao Shen, “Some recent progress in singular stochastic PDEs” (arXiv)

  80. [March 22, 2019] 1903.09615 [math.PR]

    Promit Ghosal, Axel Saenz, Ethan C. Zell, “Limiting speed of a second class particle in ASEP” (arXiv)

  81. [December 16, 2018] 1812.06532 [math.PR]

    Vadim Gorin, Yi Sun, “Gaussian fluctuations for products of random matrices” (arXiv)

  82. [December 16, 2018] 1812.06523 [math.RT]

    Cesar Cuenca, Vadim Gorin, “q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups” (arXiv)

  83. [November 15, 2018] 1811.06475 [math.PR]

    Ivan Corwin, Konstantin Matveev, Leonid Petrov, “The q-Hahn PushTASEP” (arXiv)

  84. [October 16, 2018] 1810.07129 [math.PR]

    Ivan Corwin, Promit Ghosal, “KPZ equation tails for general initial data” (arXiv)

  85. [October 9, 2018] 1810.04299 [math.PR]

    Amol Aggarwal, Alexei Borodin, Alexey Bufetov, “Stochasticization of Solutions to the Yang-Baxter Equation” (arXiv)

  86. [September 7, 2018] 1809.02698 [math.PR]

    Andrew Ahn, “Global Universality of Macdonald Plane Partitions” (arXiv)

  87. [August 29, 2018] 1808.09855 [math.PR]

    Alisa Knizel, Leonid Petrov, Axel Saenz, “Generalizations of TASEP in discrete and continuous inhomogeneous space” (arXiv)

  88. [August 19, 2018] 1808.06179 [math.CO]

    Cesar Cuenca, Grigori Olshanski, “Elements of the q-Askey scheme in the algebra of symmetric functions” (arXiv)

  89. [August 6, 2018] 1808.01866 [math.PR]

    Alexei Borodin, Michael Wheeler, “Coloured stochastic vertex models and their spectral theory” (arXiv)

  90. [July 16, 2018] 1807.06134 [math.PR]

    Cesar Cuenca, “Universal Behavior of the Corners of Orbital Beta Processes” (arXiv)

  91. [July 12, 2018] 1807.04678 [math.PR]

    Hao Shen, Li-Cheng Tsai, “Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model” (arXiv)

  92. [July 4, 2018] 1807.01824 [math.PR]

    Guillaume Barraquand, Mark Rychnovsky, “Tracy-Widom asymptotics for a river delta model” (arXiv)

  93. [June 28, 2018] 1806.10855 [math-ph]

    Alexei Borodin, Vadim Gorin, Eugene Strahov, “Product matrix processes as limits of random plane partitions” (arXiv)

  94. [June 27, 2018] 1806.10542 [math.PR]

    Ivan Corwin, “Comments on David Aldous and Persi Diaconis’ “Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem”” (arXiv)

  95. [June 27, 2018] 1806.10467 [math-ph]

    Alexei Borodin, Fabio Lucio Toninelli, “Two-dimensional Anisotropic KPZ growth and limit shapes” (arXiv)

  96. [June 25, 2018] 1806.09682 [math.PR]

    Ivan Corwin, Li-Cheng Tsai, “SPDE Limit of Weakly Inhomogeneous ASEP” (arXiv)

  97. [April 25, 2018] 1804.09815 [math.PR]

    Xuan Wu, “Intermediate Disorder regime for half-space directed polymers” (arXiv)

  98. [April 16, 2018] 1804.05721 [math.PR]

    Ivan Corwin, “Exactly solving the KPZ equation” (arXiv)

  99. [April 11, 2018] 1804.04222 [math.PR]

    H. Christian Gromoll, Mark W. Meckes, Leonid Petrov, “Quenched Central Limit Theorem in a Corner Growth Setting” (arXiv)

  100. [March 24, 2018] 1803.09137 [math.PR]

    Alexei Borodin, Vadim Gorin, “A stochastic telegraph equation from the six-vertex model” (arXiv)

  101. [March 21, 2018] 1803.08120 [math.PR]

    Ivan Corwin, Promit Ghosal, Hao Shen, Li-Cheng Tsai, “Stochastic PDE Limit of the Six Vertex Model” (arXiv)

  102. [March 15, 2018] 1803.05887 [cond-mat.stat-mech]

    Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, Pierre Le Doussal, Li-Cheng Tsai, “Coulomb-gas electrostatics controls large fluctuations of the KPZ equation” (arXiv)

  103. [February 22, 2018] 1802.08210 [math.PR]

    Guillaume Barraquand, Alexei Borodin, Ivan Corwin, “Half-space Macdonald processes” (arXiv)

  104. [February 9, 2018] 1802.03273 [math.PR]

    Ivan Corwin, Promit Ghosal, “Lower tail of the KPZ equation” (arXiv)

  105. [January 8, 2018] 1801.02574 [math.PR]

    Vadim Gorin, Sasha Sodin, “The KPZ equation and moments of random matrices” (arXiv)

  106. [December 28, 2017] 1712.09925 [math.PR]

    Alexey Bufetov, Vadim Gorin, “Fourier transform on high-dimensional unitary groups with applications to random tilings” (arXiv)

  107. [December 12, 2017] 1712.04584 [math.PR]

    Alexey Bufetov, Leonid Petrov, “Yang-Baxter field for spin Hall-Littlewood symmetric functions” (arXiv)

  108. [October 9, 2017] 1710.03284 [math.PR]

    Jinho Baik, Zhipeng Liu, “Multi-point distribution of periodic TASEP” (arXiv)

  109. [October 6, 2017] 1710.02323 [math.PR]

    Patrik L. Ferrari, Peter Nejjar, Promit Ghosal, “Limit law of a second class particle in TASEP with non-random initial condition” (arXiv)

  110. [August 19, 2017] 1708.05806 [math.PR]

    Michael Damron, Leonid Petrov, David Sivakoff, “Coarsening model on $\mathbb{Z}^d$ with biased zero-energy flips and an exponential large deviation bound for ASEP” (arXiv)

  111. [July 6, 2017] 1707.01923 [math.PR]

    Jinho Baik, Guillaume Barraquand, Ivan Corwin, Toufic Suidan, “Facilitated exclusion process” (arXiv)

  112. [June 22, 2017] 1706.07393 [math.PR]

    Vadim Gorin, Adam W. Marcus, “Crystallization of random matrix orbits” (arXiv)

  113. [August 10, 2016] 1608.03243 [math.PR]

    Vadim Gorin, Leonid Petrov, “Universality of local statistics for noncolliding random walks” (arXiv)