{
  "id": "1608.01553",
  "version": "v1",
  "published": "2016-08-04T14:36:54.000Z",
  "updated": "2016-08-04T14:36:54.000Z",
  "title": "Stochastic higher spin six vertex model and Madconald measures",
  "authors": [
    "Alexei Borodin"
  ],
  "comment": "20 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We prove an identity that relates the q-Laplace transform of the height function of a (higher spin inhomogeneous) stochastic six vertex model in a quadrant on one side, and a multiplicative functional of a Macdonald measure on the other. The identity is used to prove the GUE Tracy-Widom asymptotics for two instances of the stochastic six vertex model via asymptotics analysis of the corresponding Schur measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-04T14:36:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vertex model",
      "stochastic higher spin",
      "madconald measures",
      "gue tracy-widom asymptotics",
      "asymptotics analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}