{
  "id": "1209.5596",
  "version": "v2",
  "published": "2012-09-25T13:04:46.000Z",
  "updated": "2017-07-10T15:45:52.000Z",
  "title": "Entropy of homeomorphisms on unimodal inverse limit spaces",
  "authors": [
    "Henk Bruin",
    "Sonja Stimac"
  ],
  "journal": "Nonlinearity, Volume 26, Number 4, April 2013, 991 - 1000",
  "doi": "10.1088/0951-7715/26/4/991",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every self-homeomorphism $h : K_s \\to K_s$ on the inverse limit space $K_s$ of the tent map $T_s$ with slope $s \\in (\\sqrt 2, 2]$ has topological entropy $\\htop(h) = |R| \\log s$, where $R \\in \\Z$ is such that $h$ and $\\sigma^R$ are isotopic. Conclusions on the possible values of the entropy of homeomorphisms of the inverse limit space of a (renormalizable) quadratic map are drawn as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-25T13:04:46.000Z",
      "comment": null
    },
    {
      "version": "v2",
      "updated": "2017-07-10T15:45:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unimodal inverse limit spaces",
      "homeomorphisms",
      "tent map",
      "quadratic map",
      "topological entropy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Nonlinearity",
      "year": 2013,
      "month": "Apr",
      "volume": 26,
      "number": 4,
      "pages": 991,
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013Nonli..26..991B"
    }
  }
}