{
  "id": "1808.05489",
  "version": "v1",
  "published": "2018-08-16T13:51:52.000Z",
  "updated": "2018-08-16T13:51:52.000Z",
  "title": "Invariant spanning trees for quadratic rational maps",
  "authors": [
    "Anastasia Shepelevtseva",
    "Vladlen Timorin"
  ],
  "comment": "42 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study Thurston equivalence classes of quadratic post-critically finite branched coverings. For these maps, we introduce and study invariant spanning trees. We give a computational procedure for searching invariant spanning trees. This procedure uses finite automata associated with the iterated monodromy action.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-16T13:51:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F20",
      "37F10"
    ],
    "keywords": [
      "quadratic rational maps",
      "study thurston equivalence classes",
      "quadratic post-critically finite branched coverings",
      "study invariant spanning trees",
      "monodromy action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}