{
  "id": "1707.01575",
  "version": "v1",
  "published": "2017-07-05T20:41:28.000Z",
  "updated": "2017-07-05T20:41:28.000Z",
  "title": "The local Hoelder exponent for the entropy of real unimodal maps",
  "authors": [
    "Giulio Tiozzo"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the topological entropy of real unimodal maps depends as a Hoelder continuous function of the kneading parameter, and the local Hoelder exponent equals, up to a factor log 2, the value of the function at that point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-05T20:41:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B40",
      "37F20"
    ],
    "keywords": [
      "real unimodal maps",
      "local hoelder exponent equals",
      "factor log",
      "hoelder continuous function",
      "kneading parameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}