{
  "id": "0907.5192",
  "version": "v2",
  "published": "2009-07-29T19:11:42.000Z",
  "updated": "2009-10-27T18:11:26.000Z",
  "title": "On ASEP with Step Bernoulli Initial Condition",
  "authors": [
    "Craig A. Tracy",
    "Harold Widom"
  ],
  "comment": "16 pages. Revised version adds references and expands the introduction",
  "journal": "Journal of Statistical Physics 137 (2009), 825-838.",
  "doi": "10.1007/s10955-009-9867-1",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper extends results of earlier work on ASEP to the case of step Bernoulli initial condition. The main results are a representation in terms of a Fredholm determinant for the probability distribution of a fixed particle, and asymptotic results which in particular establish KPZ universality for this probability in one regime. (And, as a corollary, for the current fluctuations.)",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-27T18:11:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "step bernoulli initial condition",
      "paper extends results",
      "main results",
      "current fluctuations",
      "establish kpz universality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2009,
      "month": "Dec",
      "volume": 137,
      "number": "5-6",
      "pages": 825
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JSP...137..825T"
    }
  }
}