{
  "id": "1712.08638",
  "version": "v1",
  "published": "2017-12-22T20:02:11.000Z",
  "updated": "2017-12-22T20:02:11.000Z",
  "title": "On the Lebesgue measure of the Feigenbaum Julia set",
  "authors": [
    "Artem Dudko",
    "Scott Sutherland"
  ],
  "comment": "27 pages, 14 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that the Julia set of the Feigenbaum polynomial has Hausdorff dimension less than~2 (and consequently it has zero Lebesgue measure). This solves a long-standing open question.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-22T20:02:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F25",
      "37F35",
      "30D05",
      "32H50"
    ],
    "keywords": [
      "feigenbaum julia set",
      "zero lebesgue measure",
      "feigenbaum polynomial",
      "hausdorff dimension",
      "long-standing open question"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}