{
  "id": "1111.5326",
  "version": "v2",
  "published": "2011-11-22T20:55:19.000Z",
  "updated": "2012-02-15T10:25:19.000Z",
  "title": "Existence of the harmonic measure for random walks on graphs and in random environments",
  "authors": [
    "Daniel Boivin",
    "Clément Rau"
  ],
  "comment": "25 p. and 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We give a sufficient condition for the existence of the harmonic measure from infinity of transient random walks on weighted graphs. In particular, this condition is verified by the random conductance model on $\\Z^d$, $d\\geq 3$, when the conductances are i.i.d. and the bonds with positive conductance percolate. The harmonic measure from infinity also exists for random walks on supercritical clusters of $\\Z^2$. This is proved using results of Barlow (2004).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-15T10:25:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic measure",
      "random environments",
      "random conductance model",
      "transient random walks",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.5326B"
    }
  }
}