{
  "id": "math/9711216",
  "version": "v2",
  "published": "1997-11-15T00:00:00.000Z",
  "updated": "1998-08-11T18:49:03.000Z",
  "title": "Geometry of the Feigenbaum map",
  "authors": [
    "Xavier Buff"
  ],
  "comment": "14 pages, 7 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that the Feigenbaum-Cvitanovic equation can be interpreted as a linearizing equation, and the domain of analyticity of the Feigenbaum fixed point of renormalization as a basin of attraction. There is a natural decomposition of this basin which enables to recover a result of local connectivity by Jiang and Hu for the Feigenbaum Julia set.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-08-11T18:49:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "feigenbaum map",
      "feigenbaum julia set",
      "feigenbaum fixed point",
      "feigenbaum-cvitanovic equation",
      "natural decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math.....11216B"
    }
  }
}