{
  "id": "0903.2696",
  "version": "v1",
  "published": "2009-03-16T05:27:21.000Z",
  "updated": "2009-03-16T05:27:21.000Z",
  "title": "The local time of a random walk on growing hypercubes",
  "authors": [
    "Pierre Andreoletti"
  ],
  "comment": "24 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a random walk in a random environment (RWRE) on $\\Z^d$, $1 \\leq d < +\\infty$. The main assumptions are that conditionned on the environment the random walk is reversible. Moreover we construct our environment in such a way that the walk can't be trapped on a single point like in some particular RWRE but in some specific d-1 surfaces. These surfaces are basic surfaces with deterministic geometry. We prove that the local time in the neighborhood of these surfaces is driven by a function of the (random) reversible measure. As an application we get the limit law of the local time as a process on these surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-16T05:27:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J55"
    ],
    "keywords": [
      "random walk",
      "local time",
      "growing hypercubes",
      "random environment",
      "single point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.2696A"
    }
  }
}