{
  "id": "0909.3863",
  "version": "v2",
  "published": "2009-09-21T21:37:15.000Z",
  "updated": "2010-09-21T08:31:23.000Z",
  "title": "Continuous time `true' self-avoiding random walk on Z",
  "authors": [
    "Balint Toth",
    "Balint Veto"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the continuous time version of the `true' or `myopic' self-avoiding random walk with site repulsion in 1d. The Ray-Knight-type method which was applied to the discrete time and edge repulsion case, is applicable to this model with some modifications. We present a limit theorem for the local time of the walk and a local limit theorem for the displacement.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-21T08:31:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50"
    ],
    "keywords": [
      "self-avoiding random walk",
      "local limit theorem",
      "edge repulsion case",
      "local time",
      "site repulsion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3863T"
    }
  }
}