{
  "id": "math/0109197",
  "version": "v1",
  "published": "2001-09-25T10:27:53.000Z",
  "updated": "2001-09-25T10:27:53.000Z",
  "title": "Recurrence, dimensions and Lyapunov exponents",
  "authors": [
    "B. Saussol",
    "S. Troubetzkoy",
    "S. Vaienti"
  ],
  "comment": "12 pages",
  "journal": "Journal of Statistical Physics 106 (2002) 623-634.",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the Poincar\\'e return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via return times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-25T10:27:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B20"
    ],
    "keywords": [
      "lyapunov exponent",
      "recurrence",
      "poincare return time",
      "dimensional maps"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......9197S"
    }
  }
}