{
  "id": "1506.02836",
  "version": "v1",
  "published": "2015-06-09T09:32:28.000Z",
  "updated": "2015-06-09T09:32:28.000Z",
  "title": "Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows",
  "authors": [
    "Viviane Baladi",
    "Mark Demers",
    "Carlangelo Liverani"
  ],
  "comment": "109 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.SP",
    "nlin.CD"
  ],
  "abstract": "We prove exponential decay of correlations for the billiard flow associated with a two-dimensional finite horizon Lorentz Gas (i.e., the Sinai billiard flow with finite horizon). Along the way, we describe the spectrum of the generator of the corresponding semi-group L_t of transfer operators, i.e., the resonances of the Sinai billiard flow, on a suitable Banach space of anisotropic distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T09:32:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D50",
      "37C30",
      "37D20",
      "37E35",
      "46E35",
      "47B38"
    ],
    "keywords": [
      "finite horizon sinai billiard flows",
      "exponential decay",
      "correlations",
      "two-dimensional finite horizon lorentz gas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 109,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602836B"
    }
  }
}