{
  "id": "math/0605514",
  "version": "v2",
  "published": "2006-05-18T15:25:52.000Z",
  "updated": "2008-02-05T15:10:53.000Z",
  "title": "Quadratic Julia Sets with Positive Area",
  "authors": [
    "Xavier Buff",
    "Arnaud Cheritat"
  ],
  "comment": "57 pages. In this update, we added lots of figures and detailed the proofs, especially in the section called \"the control of the post critical set\"",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove the existence of quadratic polynomials having a Julia set with positive Lebesgue measure in three cases: the presence of a Cremer fixed point, the presence of a Siegel disk, the presence of infinitely many (satellite) renormalizations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-05T15:10:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic julia sets",
      "positive area",
      "quadratic polynomials",
      "positive lebesgue measure",
      "cremer fixed point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5514B"
    }
  }
}