{
  "id": "0707.4491",
  "version": "v1",
  "published": "2007-07-30T22:06:09.000Z",
  "updated": "2007-07-30T22:06:09.000Z",
  "title": "Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps",
  "authors": [
    "Milton D. Jara"
  ],
  "comment": "14 pages",
  "journal": "Communication on Pure and Applied Mathematics 62 (2009), no. 2, 198--214",
  "doi": "10.1002/cpa.20253",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove an invariance principle for a tagged particle in a simple exclusion process out of equilibrium. The scaling limit is a time-inhomogeneous process of independent increments, related to the solution of a fractional heat equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-30T22:06:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "simple exclusion process",
      "non-equilibrium scaling limit",
      "tagged particle",
      "long jumps",
      "fractional heat equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4491J"
    }
  }
}