{
  "id": "1203.0190",
  "version": "v2",
  "published": "2012-03-01T14:06:44.000Z",
  "updated": "2012-10-19T18:57:43.000Z",
  "title": "Escape rate and Hausdorff measure for entire functions",
  "authors": [
    "Walter Bergweiler",
    "Jörn Peter"
  ],
  "comment": "24 pages; some errors corrected, proof of Theorem 2 shortened",
  "journal": "Math. Z. 274 (2013), 551-572",
  "doi": "10.1007/s00209-012-1085-x",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "The escaping set of an entire function is the set of points that tend to infinity under iteration. We consider subsets of the escaping set defined in terms of escape rates and obtain upper and lower bounds for the Hausdorff measure of these sets with respect to certain gauge functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-19T18:57:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D05",
      "37F10",
      "30D15"
    ],
    "keywords": [
      "escape rate",
      "hausdorff measure",
      "entire function",
      "escaping set",
      "lower bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0190B"
    }
  }
}