{
  "id": "1112.4780",
  "version": "v1",
  "published": "2011-12-20T17:32:00.000Z",
  "updated": "2011-12-20T17:32:00.000Z",
  "title": "Matings with laminations",
  "authors": [
    "Dzmitry Dudko"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a topological description of the space of quadratic rational maps with superattractive two-cycles: its \"non-escape locus\" M2 (the analog of the Mandelbrot set M) is locally connected, it is the continuous image of M under a canonical map, and it can be described as M (minus the 1/2-limb), mated with the lamination of the basilica. The latter statement is a refined version of a conjecture of Ben Wittner, which in its original version requires local connectivity of M to even be stated. Our methods of mating with a lamination also apply to dynamical matings of certain non-locally connected Julia sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-20T17:32:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lamination",
      "quadratic rational maps",
      "non-locally connected julia sets",
      "local connectivity",
      "original version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.4780D"
    }
  }
}