{
  "id": "1103.2805",
  "version": "v3",
  "published": "2011-03-14T22:48:54.000Z",
  "updated": "2012-09-02T14:07:41.000Z",
  "title": "Law of large numbers for non-elliptic random walks in dynamic random environments",
  "authors": [
    "Frank den Hollander",
    "Renato S. dos Santos",
    "Vladas Sidoravicius"
  ],
  "comment": "36 pages, 4 figures",
  "journal": "Stochastic Processes and their Applications, Volume 123, Issue 1 (January, 2013), p. 156-190",
  "doi": "10.1016/j.spa.2012.09.002",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a law of large numbers for a class of $\\Z^d$-valued random walks in dynamic random environments, including non-elliptic examples. We assume for the random environment a mixing property called \\emph{conditional cone-mixing} and that the random walk tends to stay inside wide enough space-time cones. The proof is based on a generalization of a regeneration scheme developed by Comets and Zeitouni for static random environments and adapted by Avena, den Hollander and Redig to dynamic random environments. A number of one-dimensional examples are given. In some cases, the sign of the speed can be determined.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-02T14:07:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37"
    ],
    "keywords": [
      "dynamic random environments",
      "non-elliptic random walks",
      "large numbers",
      "stay inside wide",
      "static random environments"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.2805D"
    }
  }
}