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KPZ equation limit of stochastic higher spin six vertex model

Published 27 May 2019 in math.PR, math-ph, and math.MP | (1905.11155v2)

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 $I, J$.

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Authors (1)

  1. Yier Lin 

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