{
  "id": "1711.11119",
  "version": "v1",
  "published": "2017-11-29T21:41:34.000Z",
  "updated": "2017-11-29T21:41:34.000Z",
  "title": "Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances",
  "authors": [
    "Sebastian Andres",
    "Jean-Dominique Deuschel",
    "Martin Slowik"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We establish heat kernel upper bounds for a continuous-time random walk under unbounded conductances satisfying an integrability assumption, where we correct and extend recent results by the authors to a general class of speed measures. The resulting heat kernel estimates are governed by the intrinsic metric induced by the speed measure. We also provide a comparison result of this metric with the usual graph distance, which is optimal in the context of the random conductance model with ergodic conductances.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-29T21:41:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A12",
      "60J35",
      "60K37",
      "82C41"
    ],
    "keywords": [
      "heat kernel estimates",
      "general speed measure",
      "intrinsic metric",
      "random walk",
      "degenerate conductances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}