{
  "id": "math/0301118",
  "version": "v1",
  "published": "2003-01-11T22:10:18.000Z",
  "updated": "2003-01-11T22:10:18.000Z",
  "title": "On the hyperbolicity of the Feigenbaum fixed point",
  "authors": [
    "Daniel Smania"
  ],
  "comment": "11 pages, including the note \"Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction\", posted by the same author",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We show the hyperbolicity of the Feigenbaum fixed point using the inflexibility of the Feigenbaum tower, the Man\\~e-Sad-Sullivan $\\lambda$-Lemma and the existence of parabolic domains (petals) for semi-attractive fixed points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-11T22:10:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F25",
      "37F45",
      "37E20"
    ],
    "keywords": [
      "feigenbaum fixed point",
      "hyperbolicity",
      "parabolic domains",
      "feigenbaum tower"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1118S"
    }
  }
}