{
  "id": "1701.04294",
  "version": "v1",
  "published": "2017-01-16T14:11:17.000Z",
  "updated": "2017-01-16T14:11:17.000Z",
  "title": "A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees",
  "authors": [
    "Adam Bowditch"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note, we prove a quenched functional central limit theorem for a biased random walk on a supercritical Galton-Watson tree with leaves. This extends a result of Peres and Zeitouni (2008) where the case without leaves is considered. A conjecture of Ben Arous and Fribergh (2016) suggests an upper bound on the bias which we observe to be sharp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-16T14:11:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F05",
      "60F17",
      "60J80"
    ],
    "keywords": [
      "quenched central limit theorem",
      "biased random walk",
      "supercritical galton-watson tree",
      "quenched functional central limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}