{
  "id": "2006.05231",
  "version": "v1",
  "published": "2020-06-09T13:07:09.000Z",
  "updated": "2020-06-09T13:07:09.000Z",
  "title": "Statistical properties of type D dispersing billiards",
  "authors": [
    "Margaret Brown",
    "Péter Nándori"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider dispersing billiard tables whose boundary is piecewise smooth and the free flight function is unbounded. We also assume there are no cusps. Such billiard tables are called type D in the monograph of Chernov and Markarian. For a class of non-degenerate type D dispersing billiards, we prove exponential decay of correlation and several other statistical properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-09T13:07:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "statistical properties",
      "free flight function",
      "dispersing billiard tables",
      "non-degenerate type",
      "exponential decay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}