{
  "id": "1001.4702",
  "version": "v1",
  "published": "2010-01-26T14:26:21.000Z",
  "updated": "2010-01-26T14:26:21.000Z",
  "title": "Invariance principle for the random conductance model with unbounded conductances",
  "authors": [
    "M. T. Barlow",
    "J. -D. Deuschel"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/09-AOP481 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2010, Vol. 38, No. 1, 234-276",
  "doi": "10.1214/09-AOP481",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a continuous time random walk $X$ in an environment of i.i.d. random conductances $\\mu_e\\in[1,\\infty)$. We obtain heat kernel bounds and prove a quenched invariance principle for $X$. This holds even when ${\\mathbb{E}}\\mu_e=\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-26T14:26:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F17",
      "82C41"
    ],
    "keywords": [
      "random conductance model",
      "unbounded conductances",
      "continuous time random walk",
      "heat kernel bounds",
      "quenched invariance principle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4702B"
    }
  }
}