{
  "id": "1908.07571",
  "version": "v1",
  "published": "2019-08-20T19:08:52.000Z",
  "updated": "2019-08-20T19:08:52.000Z",
  "title": "Expansion properties for finite subdivision rules II",
  "authors": [
    "William Floyd",
    "Walter Parry",
    "Kevin M. Pilgrim"
  ],
  "comment": "24 pages, 7 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every sufficiently large iterate of a Thurston map which is not doubly covered by a torus endomorphism and which does not have a Levy cycle is isotopic to the subdivision map of a finite subdivision rule. We determine which Thurston maps doubly covered by a torus endomorphism have iterates that are isotopic to subdivision maps of finite subdivision rules. We give conditions under which no iterate of a given Thurston map is isotopic to the subdivision map of a finite subdivision rule.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-20T19:08:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F19",
      "52C20",
      "57M12"
    ],
    "keywords": [
      "finite subdivision rule",
      "expansion properties",
      "subdivision map",
      "thurston map",
      "torus endomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}