{
  "id": "1105.0567",
  "version": "v2",
  "published": "2011-05-03T12:45:45.000Z",
  "updated": "2012-03-15T13:04:14.000Z",
  "title": "Exponential decay of correlations for piecewise cone hyperbolic contact flows",
  "authors": [
    "Viviane Baladi",
    "Carlangelo Liverani"
  ],
  "comment": "76 pages, 4 figures included in LaTeX file",
  "categories": [
    "math.DS",
    "nlin.CD"
  ],
  "abstract": "We prove exponential decay of correlations for a realistic model of piecewise hyperbolic flows preserving a contact form, in dimension three. This is the first time exponential decay of correlations is proved for continuous-time dynamics with singularities on a manifold. Our proof combines the second author's version of Dolgopyat's estimates for contact flows and the first author's work with Gou\\\"ezel on piecewise hyperbolic discrete-time dynamics. (Presentation revised.)",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-15T13:04:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "37D20",
      "37D50",
      "37E35",
      "46E35",
      "47B38"
    ],
    "keywords": [
      "piecewise cone hyperbolic contact flows",
      "correlations",
      "first time exponential decay",
      "piecewise hyperbolic discrete-time dynamics",
      "first authors work"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-012-1538-4",
      "journal": "Communications in Mathematical Physics",
      "year": 2012,
      "month": "Sep",
      "volume": 314,
      "number": 3,
      "pages": 689
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 76,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012CMaPh.314..689B"
    }
  }
}