86 citations · 384 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits
Hao Shen, Hendrik Weber
We study the Glauber dynamics of a two dimensional Blume-Capel model (or dilute Ising model) with Kac potential parametrized by - the "inverse temperature" and the "chemica…
Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem
Ajay Chandra, Hao Shen
Upon its inception the theory of regularity structures allowed for the treatment for many semilinear perturbations of the stochastic heat equation driven by space-time white noise.…
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…