{
  "id": "1111.6270",
  "version": "v2",
  "published": "2011-11-27T16:11:15.000Z",
  "updated": "2013-09-15T15:10:31.000Z",
  "title": "Perturbations of weakly expanding critical orbits",
  "authors": [
    "Genadi Levin"
  ],
  "comment": "Extended version, to appear in the proceedings of the conference \"Frontiers in complex dynamics (Celebrating John Milnor's 80th birthday)\"",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let f be a polynomial or a rational function which has r summable critical points. We prove that there exists an r-dimensional manifold in an appropriate space containing f such that for every smooth curve in it through f, the ratio between parameter and dynamical derivatives along forward iterates of at least one these summable points tends to a non-zero number.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-15T15:10:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly expanding critical orbits",
      "perturbations",
      "rational function",
      "r-dimensional manifold",
      "smooth curve"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6270L"
    }
  }
}