{
  "id": "0708.0379",
  "version": "v3",
  "published": "2007-08-02T16:43:19.000Z",
  "updated": "2009-04-20T17:21:40.000Z",
  "title": "Return time statistics for invariant measures for interval maps with positive Lyapunov exponent",
  "authors": [
    "Henk Bruin",
    "Mike Todd"
  ],
  "comment": "Proof of Proposition 5 simplified",
  "journal": "Stoch. Dyn. 9 (2009) 81-100",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that multimodal maps with an absolutely continuous invariant measure have exponential return time statistics around a.e. point. We also show a `polynomial Gibbs property' for these systems, and that the convergence to the entropy in the Ornstein-Weiss formula has normal fluctuations. These results are also proved for equilibrium states of some Hoelder potentials.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-04-20T17:21:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37A05",
      "37B20",
      "37D25"
    ],
    "keywords": [
      "positive lyapunov exponent",
      "interval maps",
      "exponential return time statistics",
      "polynomial gibbs property",
      "normal fluctuations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.0379B"
    }
  }
}