{
  "id": "1801.02574",
  "version": "v1",
  "published": "2018-01-08T17:29:23.000Z",
  "updated": "2018-01-08T17:29:23.000Z",
  "title": "The KPZ equation and moments of random matrices",
  "authors": [
    "Vadim Gorin",
    "Sasha Sodin"
  ],
  "comment": "10pp",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole-Hopf solution of the Kardar-Parisi-Zhang equation in the sense of one-point distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-08T17:29:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kpz equation",
      "diagonal matrix element",
      "random matrix converges",
      "one-point distributions",
      "cole-hopf solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}