654 citations · 2.4k across the 65 of their papers we have counts for
7 papers · 1 filter
Markov duality and Bethe ansatz formula for half-line open ASEP
Guillaume Barraquand, Ivan Corwin
Using a Markov duality satisfied by ASEP on the integer line, we deduce a similar Markov duality for half-line open ASEP and open ASEP on a segment. This leads to closed systems of…
The lower tail of -pushTASEP
Ivan Corwin, Milind Hegde
We study -pushTASEP, a discrete time interacting particle system whose distribution is related to the -Whittaker measure. We prove a uniform in lower tail bound on the fl…
Anomalous Fluctuations of Extremes in Many-Particle Diffusion
Jacob B. Hass, Aileen N. Carroll-Godfrey, Eric I. Corwin +1
In many-particle diffusions, particles that move the furthest and fastest can play an outsized role in physical phenomena. A theoretical understanding of the behavior of such extre…
The ASEP speed process
Amol Aggarwal, Ivan Corwin, Promit Ghosal
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…
Stationary measures for the log-gamma polymer and KPZ equation in half-space
Guillaume Barraquand, Ivan Corwin
We construct explicit one-parameter families of stationary measures for the Kardar-Parisi-Zhang equation in half-space with Neumann boundary conditions at the origin, as well as fo…
Some recent progress on the stationary measure for the open KPZ equation
Ivan Corwin
This note, dedicated in Harold Widom's memory, is an expanded version of a lecture I gave in fall 2021 at the MSRI program "Universality and Integrability in Random Matrices and In…
Harold Widom's work in random matrix theory
Ivan Corwin, Percy Deift, Alexander Its
This is a survey of Harold Widom's work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy's groundbreaking r…