KPZ equation limit of stochastic higher spin six vertex model

Yier Lin

doi:10.1007/s11040-019-9325-5

KPZ equation limit of stochastic higher spin six vertex model

Probability 2020-04-28 v2 Mathematical Physics math.MP

Authors: Yier Lin

View on arXiv ↗ PDF ↗ DOI ↗

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 $I, J$ .

Keywords

kpz equation stochastic higher spin six vertex model weakly asymmetric scaling near stationary initial condition convergence

Cite

@article{arxiv.1905.11155,
  title  = {KPZ equation limit of stochastic higher spin six vertex model},
  author = {Yier Lin},
  journal= {arXiv preprint arXiv:1905.11155},
  year   = {2020}
}

Comments

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

KPZ equation limit of stochastic higher spin six vertex model

Abstract

Keywords

Cite

Comments

Related papers