{
  "id": "1512.05144",
  "version": "v1",
  "published": "2015-12-16T12:24:43.000Z",
  "updated": "2015-12-16T12:24:43.000Z",
  "title": "A new geometric characterization of the Julia set",
  "authors": [
    "Xiao Yao",
    "Daochun Sun",
    "Zuxing Xuan"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "This article concerns a new geometric characterization of the Julia set. By using Ahlfors-Shimizu's characteristic, we establish some growth results which indicates the characterization of the Julia set. The main technique is to estimate the lower bound of $S(f^n,U)$, where $U$ is an open neighbourhood of some point in $\\mathcal{J}(f)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-16T12:24:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "julia set",
      "geometric characterization",
      "open neighbourhood",
      "article concerns",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151205144Y"
    }
  }
}