{
  "id": "1211.3397",
  "version": "v1",
  "published": "2012-11-14T19:55:27.000Z",
  "updated": "2012-11-14T19:55:27.000Z",
  "title": "Rescaling limits of complex rational maps",
  "authors": [
    "Jan Kiwi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We discuss rescaling limits for sequences of complex rational maps in one variable which approach infinity in parameter space.It is shown that any given sequence of maps of degree $d \\ge 2$ has at most $2d-2$ dynamically distinct rescaling limits which are not postcritically finite. For quadratic rational maps, a complete description of the possible rescaling limits is given. These results are obtained employing tools from non-Archimedean dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-14T19:55:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex rational maps",
      "quadratic rational maps",
      "approach infinity",
      "dynamically distinct rescaling limits",
      "non-archimedean dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.3397K"
    }
  }
}