{
  "id": "1711.08094",
  "version": "v1",
  "published": "2017-11-22T00:58:38.000Z",
  "updated": "2017-11-22T00:58:38.000Z",
  "title": "Blocks in the Asymmetric Simple Exclusion Process: Asymptotics",
  "authors": [
    "Craig A. Tracy",
    "Harold Widom"
  ],
  "comment": "17 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In earlier work the authors obtained formulas for the probability in the asymmetric simple exclusion process that at time $t$ a particle is at site $x$ and is the beginning of a block of $L$ consecutive particles. Here we consider asymptotics. Specifically, for the KPZ regime with step initial condition, we determine the conditional probability (asymptotically as $t\\to\\infty$) that a particle is the beginning of an $L$-block, given that it is at site $x$ at time $t$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-22T00:58:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymmetric simple exclusion process",
      "asymptotics",
      "step initial condition",
      "kpz regime",
      "earlier work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}