{
  "id": "2009.10147",
  "version": "v1",
  "published": "2020-09-21T19:33:46.000Z",
  "updated": "2020-09-21T19:33:46.000Z",
  "title": "The W. Thurston Algorithm for Real Quadratic Rational Maps",
  "authors": [
    "Araceli Bonifant",
    "John Milnor",
    "Scott Sutherland"
  ],
  "comment": "141 figures, 67 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "A study of real quadratic maps with real critical points, emphasizing the effective construction of critically finite maps with specified combinatorics. We discuss the behavior of the Thurston algorithm in obstructed cases, and in one exceptional badly behaved case, and provide a new description of the appropriate moduli spaces. There is also an application to topological entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-21T19:33:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B40",
      "37E05",
      "37E10",
      "37F10",
      "37F20"
    ],
    "keywords": [
      "real quadratic rational maps",
      "thurston algorithm",
      "real quadratic maps",
      "appropriate moduli spaces",
      "real critical points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 67,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}