86 citations · 384 across the 29 of their papers we have counts for
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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.…
Weak universality of dynamical : non-Gaussian noise
Hao Shen, Weijun Xu
We consider a class of continuous phase coexistence models in three spatial dimensions. The fluctuations are driven by symmetric stationary random fields with sufficient integrabil…
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…