{
  "id": "1311.7023",
  "version": "v3",
  "published": "2013-11-27T16:04:38.000Z",
  "updated": "2014-07-05T14:47:35.000Z",
  "title": "Quenched Invariance Principle for the Random Walk on the Penrose Tiling",
  "authors": [
    "Zs. Bartha",
    "A. Telcs"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the simple random walk on the graph corresponding to a Penrose tiling. We prove that the path distribution of the walk converges weakly to that of a non-degenerate Brownian motion for almost every Penrose tiling with respect to the appropriate invariant measure on the set of tilings. Our tool for this is the corrector method.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-05T14:47:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17"
    ],
    "keywords": [
      "quenched invariance principle",
      "penrose tiling",
      "simple random walk",
      "appropriate invariant measure",
      "non-degenerate brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.7023B"
    }
  }
}