KPZ equation limit of stochastic higher spin six vertex model

Abstract

We consider the stochastic higher spin six vertex (SHS6V) model introduced in [Corwin-Petrov, 2016] with general integer spin parameters $I,J$. Starting from near stationary initial condition, we prove that the SHS6V model converges to the KPZ equation under weakly asymmetric scaling. This generalizes the result of [Corwin-Ghosal-Shen-Tsai, 2018] from $I=J=1$ to general $I,J$.

arXiv comment79 pages, 6 figure. To appear in Mathematical physics, analysis and geometry

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Cited by in corpus (3)

• Lyapunov exponents of the SHE for general initial data
• The stochastic telegraph equation limit of the stochastic higher spin six vertex model
• The stochastic six-vertex model speed process