{
  "id": "1204.1282",
  "version": "v1",
  "published": "2012-04-05T17:33:42.000Z",
  "updated": "2012-04-05T17:33:42.000Z",
  "title": "The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps",
  "authors": [
    "Fei Yang",
    "Xiaoguang Wang"
  ],
  "comment": "2 pages, 5 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we give a formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps $f_p(z)=z^Q+p/z^Q$, where $Q\\geq 3$ and $p$ is small. This gives a lower bound of the Hausdorff dimension of the Julia sets of McMullen maps in the special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-05T17:33:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F35",
      "37F10",
      "37F50"
    ],
    "keywords": [
      "hausdorff dimension",
      "mcmullen maps",
      "immediate basin",
      "lower bound",
      "julia sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.1282Y"
    }
  }
}