{
  "id": "1908.05088",
  "version": "v1",
  "published": "2019-08-14T12:10:33.000Z",
  "updated": "2019-08-14T12:10:33.000Z",
  "title": "Knobbly but nice",
  "authors": [
    "Neil Dobbs"
  ],
  "comment": "7 pages. Comments welcome",
  "categories": [
    "math.DS"
  ],
  "abstract": "Our main result states that, under an exponential map whose Julia set is the whole complex plane, on each piecewise smooth Jordan curve there is a point whose orbit is dense. This has consequences for the boundaries of nice sets, used in induction methods to study ergodic and geometric properties of the dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-14T12:10:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10"
    ],
    "keywords": [
      "main result states",
      "piecewise smooth jordan curve",
      "study ergodic",
      "induction methods",
      "nice sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}