{
  "id": "math/0403134",
  "version": "v1",
  "published": "2004-03-08T17:03:09.000Z",
  "updated": "2004-03-08T17:03:09.000Z",
  "title": "On symmetric random walks with random conductances on $\\Z^d$",
  "authors": [
    "L. R. G. Fontes",
    "P. Mathieu"
  ],
  "comment": "34 pages, 1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study models of continuous time, symmetric, $\\Z^d$-valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in a case where a uniform ellipticity assumption is absent. We consider the case of independent conductances with a polynomial tail near 0, and obtain precise asymptotics for the annealed return probability and convergence times for the random walk confined to a finite box.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-08T17:03:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37"
    ],
    "keywords": [
      "symmetric random walks",
      "random conductances",
      "uniform ellipticity assumption",
      "precise asymptotics",
      "transition probabilities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3134F"
    }
  }
}