{
  "id": "math/0611505",
  "version": "v2",
  "published": "2006-11-16T15:54:21.000Z",
  "updated": "2007-01-24T17:34:32.000Z",
  "title": "Central Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion",
  "authors": [
    "Patricia Goncalves"
  ],
  "comment": "28 pages, no figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a Functional Central Limit Theorem for the position of a Tagged Particle in the one-dimensional Asymmetric Simple Exclusion Process in the hyperbolic scaling, starting from a Bernoulli product measure conditioned to have a particle at the origin. We also prove that the position of the Tagged Particle at time $t$ depends on the initial configuration, by the number of empty sites in the interval $[0,(p-q)\\alpha t]$ divided by $\\alpha$ in the hyperbolic and in a longer time scale, namely $N^{4/3}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-24T17:34:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "tagged particle",
      "one-dimensional asymmetric simple exclusion process",
      "functional central limit theorem",
      "bernoulli product measure",
      "longer time scale"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11505G"
    }
  }
}