{
  "id": "0912.2362",
  "version": "v2",
  "published": "2009-12-14T17:19:40.000Z",
  "updated": "2010-04-27T04:21:59.000Z",
  "title": "Painlevé Functions in Statistical Physics",
  "authors": [
    "Craig A. Tracy",
    "Harold Widom"
  ],
  "comment": "Revised version updates some references",
  "journal": "Publ. RIMS Kyoto Univ., 47 (2011), 361-374",
  "doi": "10.2977/PRIMS/38",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We review recent progress in limit laws for the one-dimensional asymmetric simple exclusion process (ASEP) on the integer lattice. The limit laws are expressed in terms of a certain Painlev\\'e II function. Furthermore, we take this opportunity to give a brief survey of the appearance of Painlev\\'e functions in statistical physics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-27T04:21:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M55",
      "60K35",
      "82B23"
    ],
    "keywords": [
      "statistical physics",
      "one-dimensional asymmetric simple exclusion process",
      "limit laws",
      "integer lattice",
      "brief survey"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2362T"
    }
  }
}