{
  "id": "math/0211303",
  "version": "v3",
  "published": "2002-11-19T18:37:47.000Z",
  "updated": "2003-01-17T23:06:27.000Z",
  "title": "The speed of biased random walk on percolation clusters",
  "authors": [
    "Noam Berger",
    "Nina Gantert",
    "Yuval Peres"
  ],
  "comment": "This is a corrected version where the result is only proved for percolation clusters on Z^2; 23 Pages, 3 Figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider biased random walk on supercritical percolation clusters in $\\Z^2$. We show that the random walk is transient and that there are two speed regimes: If the bias is large enough, the random walk has speed zero, while if the bias is small enough, the speed of the random walk is positive.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-01-17T23:06:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biased random walk",
      "supercritical percolation clusters",
      "speed regimes",
      "speed zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11303B"
    }
  }
}