{
  "id": "1106.4387",
  "version": "v2",
  "published": "2011-06-22T07:44:50.000Z",
  "updated": "2011-12-22T06:42:49.000Z",
  "title": "Einstein relation for biased random walk on Galton--Watson trees",
  "authors": [
    "Gerard Ben Arous",
    "Yueyun Hu",
    "Stefano Olla",
    "Ofer Zeitouni"
  ],
  "comment": "Minor errors corrected",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton--Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrary deep traps.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-22T06:42:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60J80"
    ],
    "keywords": [
      "biased random walk",
      "einstein relation",
      "galton-watson trees",
      "arbitrary deep traps",
      "small perturbation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4387B"
    }
  }
}