{
  "id": "1806.04852",
  "version": "v1",
  "published": "2018-06-13T05:38:51.000Z",
  "updated": "2018-06-13T05:38:51.000Z",
  "title": "On The Support of The Bifurcation Measure of Cubic Polynomials",
  "authors": [
    "Hiroyuki Inou",
    "Sabyasachi Mukherjee"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct new examples of cubic polynomials with a parabolic fixed point that cannot be approximated by Misiurewicz polynomials. In particular, such parameters admit maximal bifurcations, but do not belong to the support of the bifurcation measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-13T05:38:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F45",
      "37G15"
    ],
    "keywords": [
      "cubic polynomials",
      "bifurcation measure",
      "parameters admit maximal bifurcations",
      "parabolic fixed point",
      "misiurewicz polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}