{
  "id": "1405.2765",
  "version": "v3",
  "published": "2014-05-12T14:07:55.000Z",
  "updated": "2015-03-09T09:07:49.000Z",
  "title": "Moduli of continuity of local times of random walks on graphs in terms of the resistance metric",
  "authors": [
    "David A. Croydon"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, universal concentration estimates are established for the local times of random walks on weighted graphs in terms of the resistance metric. As a particular application of these, a modulus of continuity for local times is provided in the case when the graphs in question satisfy a certain volume growth condition with respect to the resistance metric. Moreover, it is explained how these results can be applied to self-similar fractals, for which they are shown to be useful for deriving scaling limits for local times and asymptotic bounds for the cover time distribution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-13T07:17:57.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-03-09T09:07:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C81",
      "60J55"
    ],
    "keywords": [
      "local times",
      "resistance metric",
      "random walks",
      "continuity",
      "universal concentration estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.2765C"
    }
  }
}