{
  "id": "1312.5473",
  "version": "v2",
  "published": "2013-12-19T10:42:46.000Z",
  "updated": "2014-09-04T15:57:21.000Z",
  "title": "Harnack inequalities on weighted graphs and some applications to the random conductance model",
  "authors": [
    "Sebastian Andres",
    "Jean-Dominique Deuschel",
    "Martin Slowik"
  ],
  "comment": "43 pages, 2 figure, companion paper to arXiv:1306.2521",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk $X$ in an environment of ergodic random conductances taking values in $[0, \\infty)$ satisfying some moment conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-19T10:42:46.000Z",
      "title": "Harnack inequalities on weighted graphs and some applications for the random conductance model",
      "comment": "39 pages, 1 figure. arXiv admin note: text overlap with arXiv:1306.2521",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-04T15:57:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B05",
      "39A12",
      "60J35",
      "60K37",
      "82C41"
    ],
    "keywords": [
      "random conductance model",
      "weighted graphs",
      "application",
      "parabolic harnack inequalities",
      "ergodic random conductances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5473A"
    }
  }
}