654 citations · 2.4k across the 65 of their papers we have counts for
8 papers · 2 filters
Anisotropic (2+1)d growth and Gaussian limits of q-Whittaker processes
Alexei Borodin, Ivan Corwin, Patrik L. Ferrari
We consider a discrete model for anisotropic (2+1)-dimensional growth of an interface height function. Owing to a connection with q-Whittaker functions, this system enjoys many exp…
Open ASEP in the Weakly Asymmetric Regime
Ivan Corwin, Hao Shen
We consider ASEP on a bounded interval and on a half line with sources and sinks. On the full line, Bertini and Giacomin proved convergence under weakly asymmetric scaling of the h…
Kardar-Parisi-Zhang Universality
Ivan Corwin
This is the article by the same name which was published in the March 2016 issue of the AMS Notices. Due to space constraints, some references contained here were not provided in t…
Kardar-Parisi-Zhang equation and large deviations for random walks in weak random environments
Ivan Corwin, Yu Gu
We consider the transition probabilities for random walks in dimensional space-time random environments (RWRE). For critically tuned weak disorder we prove a sharp large devi…
Pfaffian Schur processes and last passage percolation in a half-quadrant
Jinho Baik, Guillaume Barraquand, Ivan Corwin +1
We study last passage percolation in a half-quadrant, which we analyze within the framework of Pfaffian Schur processes. For the model with exponential weights, we prove that the f…
Intermediate disorder directed polymers and the multi-layer extension of the stochastic heat equation
Ivan Corwin, Mihai Nica
We consider directed polymer models involving multiple non-intersecting random walks moving through a space-time disordered environment in one spatial dimension. For a single rando…
ASEP(q,j) converges to the KPZ equation
Ivan Corwin, Hao Shen, Li-Cheng Tsai
We show that a generalized Asymmetric Exclusion Process called ASEP(q,j) introduced by Carinci, Giardina, Redig and Sasamoto converges to the Cole-Hopf solution to the KPZ equation…
Stochastic heat equation limit of a (2+1)d growth model
Alexei Borodin, Ivan Corwin, Fabio Lucio Toninelli
We determine a limit of the two-dimensional -Whittaker driven particle system on the torus studied previously in [Corwin-Toninelli, arXiv:1509.01605]. This has an inter…