{
  "id": "1412.4338",
  "version": "v1",
  "published": "2014-12-14T11:01:02.000Z",
  "updated": "2014-12-14T11:01:02.000Z",
  "title": "Heat kernel estimates for random walks with degenerate weights",
  "authors": [
    "Sebastian Andres",
    "Jean-Dominique Deuschel",
    "Martin Slowik"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We establish Gaussian-type upper bounds on the heat kernel for a continuous-time random walk on a graph with unbounded weights under an ergodicity assumption. For the proof we use Davies' perturbation method, where we show a maximal inequality for the perturbed heat kernel via Moser iteration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-14T11:01:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A12",
      "60J35",
      "60K37",
      "82C41"
    ],
    "keywords": [
      "heat kernel estimates",
      "degenerate weights",
      "establish gaussian-type upper bounds",
      "continuous-time random walk",
      "ergodicity assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.4338A"
    }
  }
}