{
  "id": "math/0301213",
  "version": "v2",
  "published": "2003-01-20T13:53:07.000Z",
  "updated": "2003-03-19T10:34:37.000Z",
  "title": "Isoperimetry and heat kernel decay on percolation clusters",
  "authors": [
    "Pierre Mathieu",
    "Elisabeth Remy"
  ],
  "journal": "Annals of Probability, vol. 32 1A, pp 100-128, 2004",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that the heat kernel on the infinite Bernoulli percolation cluster in Z^d almost surely decays faster than t^{-d/2}. We also derive estimates on the mixing time for the random walk confined to a finite box. Our approach is based on local isoperimetric inequalities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-19T10:34:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat kernel decay",
      "isoperimetry",
      "infinite bernoulli percolation cluster",
      "local isoperimetric inequalities",
      "surely decays faster"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1213M"
    }
  }
}