{
  "id": "1503.01423",
  "version": "v1",
  "published": "2015-03-04T19:14:50.000Z",
  "updated": "2015-03-04T19:14:50.000Z",
  "title": "Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps",
  "authors": [
    "Amanda de Lima",
    "Daniel Smania"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1309.2116 by other authors",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the Newton quotient of the average R(t) of a lipschitzian function (with non vanishing variation) with respect to the SRB measure on a transversal family f_t of piecewise expanding unimodal maps, after an appropriated normalization, converges in distribution to the normal distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-04T19:14:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "37C40",
      "37E05",
      "37A05"
    ],
    "keywords": [
      "piecewise expanding unimodal maps",
      "central limit theorem",
      "transversal family",
      "observables",
      "continuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150301423D"
    }
  }
}