{
  "id": "1905.11155",
  "version": "v1",
  "published": "2019-05-27T12:05:36.000Z",
  "updated": "2019-05-27T12:05:36.000Z",
  "title": "KPZ equation limit of stochastic higher spin six vertex model",
  "authors": [
    "Yier Lin"
  ],
  "comment": "79 pages, 6 figures. Comments welcome!",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the stochastic higher spin six vertex (SHS6V) model introduced in [Corwin-Petrov, 2016] with general integer spin parameter $I, J$. 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 $I, J$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-27T12:05:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic higher spin",
      "kpz equation limit",
      "vertex model",
      "general integer spin parameter",
      "stationary initial condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 79,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}