{
  "id": "1306.2521",
  "version": "v3",
  "published": "2013-06-11T13:43:53.000Z",
  "updated": "2014-09-04T16:27:50.000Z",
  "title": "Invariance principle for the random conductance model in a degenerate ergodic environment",
  "authors": [
    "Sebastian Andres",
    "Jean-Dominique Deuschel",
    "Martin Slowik"
  ],
  "comment": "24 pages, 1 figure, to appear in Ann. Probab, companion paper to arXiv:1312.5473",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a continuous time random walk, $X$, on $\\mathbb{Z}^d$ in an environment of random conductances taking values in $(0, \\infty)$. We assume that the law of the conductances is ergodic with respect to space shifts. We prove a quenched invariance principle for $X$ under some moment conditions of the environment. The key result on the sublinearity of the corrector is obtained by Moser's iteration scheme.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-16T10:40:03.000Z",
      "comment": "24 pages, 1 figure",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-09-04T16:27:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F17",
      "82C41"
    ],
    "keywords": [
      "random conductance model",
      "degenerate ergodic environment",
      "mosers iteration scheme",
      "continuous time random walk",
      "moment conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.2521A"
    }
  }
}