{
  "id": "1111.4313",
  "version": "v4",
  "published": "2011-11-18T09:56:32.000Z",
  "updated": "2013-01-18T17:21:51.000Z",
  "title": "Speed of the biased random walk on a Galton--Watson tree",
  "authors": [
    "Elie Aidekon"
  ],
  "comment": "reference added; Statement of Theorem 4.1 changed",
  "categories": [
    "math.PR"
  ],
  "abstract": "We give an expression of the speed of the biased random walk on a Galton--Watson tree. In the particular case of the simple random walk, we recover the result of Lyons, Pemantle and Peres \\cite{LyPePe95}. The proof uses a description of the invariant distribution of the environment seen from the particle.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-01-18T17:21:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biased random walk",
      "galton-watson tree",
      "simple random walk",
      "invariant distribution",
      "description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.4313A"
    }
  }
}