# KPZ Equation Limit of Stochastic Higher Spin Six Vertex Model

@article{Lin2019KPZEL, title={KPZ Equation Limit of Stochastic Higher Spin Six Vertex Model}, author={Yier Lin}, journal={Mathematical Physics, Analysis and Geometry}, year={2019} }

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 $I, J$.

## 15 Citations

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In this paper we consider the Higher Spin Six Vertex Model on the lattice
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. We first identify a family of translation invariant measures and…

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We study the stochastic six vertex model and prove that under weak asymmetry scaling (i.e., when the parameter $$\Delta \rightarrow 1^+$$ Δ → 1 + so as to zoom into the ferroelectric/disordered phase…

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