{
  "id": "math/0503610",
  "version": "v2",
  "published": "2005-03-25T20:10:03.000Z",
  "updated": "2005-04-14T07:59:26.000Z",
  "title": "On the speed of random walks on a percolation cluster of trees",
  "authors": [
    "Dayue Chen",
    "Fuxi Zhang"
  ],
  "comment": "10 pages with 1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the simple random walk on the infinite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p by studying three classes of trees. A sufficient condition is established for Galton-Watson trees.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-04-14T07:59:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J80"
    ],
    "keywords": [
      "percolation cluster",
      "simple random walk",
      "bernoulli bond percolation",
      "sufficient condition",
      "infinite cluster"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3610C"
    }
  }
}