{
  "id": "math/0206299",
  "version": "v1",
  "published": "2002-06-27T19:40:09.000Z",
  "updated": "2002-06-27T19:40:09.000Z",
  "title": "Aperiodic Lorentz gas: recurrence and ergodicity",
  "authors": [
    "Marco Lenci"
  ],
  "comment": "17 pages, 3 figures",
  "journal": "Ergodic Theory Dynam. Systems 23 (2003), no. 3, 869-883",
  "doi": "10.1017/S0143385702001529",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "We prove that any generic (i.e., possibly aperiodic) Lorenz gas in two dimensions, with finite horizon and non-degenerate geometrical features, is ergodic if it is recurrent. We also give examples of aperiodic recurrent gases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-27T19:40:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D50",
      "37A40"
    ],
    "keywords": [
      "aperiodic lorentz gas",
      "recurrence",
      "ergodicity",
      "aperiodic recurrent gases",
      "finite horizon"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6299L"
    }
  }
}