{
  "id": "0909.3069",
  "version": "v2",
  "published": "2009-09-16T17:30:46.000Z",
  "updated": "2010-11-19T15:18:11.000Z",
  "title": "Recurrence for quenched random Lorentz tubes",
  "authors": [
    "Giampaolo Cristadoro",
    "Marco Lenci",
    "Marcello Seri"
  ],
  "comment": "23 pages, 8 figures. Version published on Chaos, vol. 20 (2010) + correction of small erratum in condition (A3)",
  "journal": "Chaos 20 (2010), 023115, 7 pp",
  "doi": "10.1063/1.3405290",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the billiard dynamics in a strip-like set that is tessellated by countably many translated copies of the same polygon. A random configuration of semidispersing scatterers is placed in each copy. The ensemble of dynamical systems thus defined, one for each global choice of scatterers, is called `quenched random Lorentz tube'. We prove that, under general conditions, almost every system in the ensemble is recurrent.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-19T15:18:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D50",
      "37A40",
      "60K37",
      "37B20",
      "05.45.-a",
      "02.10.Ab"
    ],
    "keywords": [
      "quenched random lorentz tube",
      "recurrence",
      "global choice",
      "random configuration",
      "billiard dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Chaos",
      "year": 2010,
      "month": "Jun",
      "volume": 20,
      "number": 2,
      "pages": "023115"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010Chaos..20b3115C"
    }
  }
}