{
  "id": "1701.08743",
  "version": "v1",
  "published": "2017-01-30T18:29:36.000Z",
  "updated": "2017-01-30T18:29:36.000Z",
  "title": "Decay of correlations, quantitative recurrence and logarithm law for Rovella attractors",
  "authors": [
    "Stefano Galatolo",
    "Isaia Nisoli",
    "Maria José Pacifico"
  ],
  "comment": "23 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we prove that a class of skew products maps with non uniformly hyperbolic base has exponential decay of correlations. We apply this to obtain a logarithm law for the hitting time associated to a contracting Lorenz (or Rovella) attractor at all the points having a well defined local dimension, and a quantitative recurrence estimation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-30T18:29:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C10",
      "37C45",
      "37C40",
      "37D25"
    ],
    "keywords": [
      "logarithm law",
      "rovella attractors",
      "correlations",
      "non uniformly hyperbolic base",
      "skew products maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}