{
  "id": "0712.4267",
  "version": "v1",
  "published": "2007-12-27T18:49:17.000Z",
  "updated": "2007-12-27T18:49:17.000Z",
  "title": "Hyperbolic dimension and radial Julia sets of transcendental functions",
  "authors": [
    "Lasse Rempe"
  ],
  "comment": "11 pages",
  "journal": "Proc. Amer. Math. Soc. 137 (2009), 1411-1420.",
  "doi": "10.1090/S0002-9939-08-09650-0",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We survey the definition of the radial Julia set of a meromorphic function (in fact, more generally, any \"Ahlfors islands map\"), and give a simple proof that the Hausdorff dimension of the reduced Julia set always coincides with the hyperbolic dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-27T18:49:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F35",
      "37F10",
      "30D05"
    ],
    "keywords": [
      "radial julia set",
      "hyperbolic dimension",
      "transcendental functions",
      "ahlfors islands map",
      "meromorphic function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.4267R"
    }
  }
}