{
  "id": "1910.13096",
  "version": "v1",
  "published": "2019-10-29T05:58:42.000Z",
  "updated": "2019-10-29T05:58:42.000Z",
  "title": "Non-escaping points of Zorich maps",
  "authors": [
    "Walter Bergweiler",
    "Jie Ding"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We extend results about the dimension of the radial Julia set of certain exponential functions to quasiregular Zorich maps in higher dimensions. Our results improve on previous estimates of the dimension also in the special case of exponential functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-29T05:58:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30D05"
    ],
    "keywords": [
      "non-escaping points",
      "exponential functions",
      "radial julia set",
      "quasiregular zorich maps",
      "higher dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}