{
  "id": "1609.02240",
  "version": "v1",
  "published": "2016-09-08T01:41:11.000Z",
  "updated": "2016-09-08T01:41:11.000Z",
  "title": "Slices of Parameter Space of Cubic Polynomials",
  "authors": [
    "Alexander Blokh",
    "Lex Oversteegen",
    "Vladlen Timorin"
  ],
  "comment": "60 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study slices of the parameter space of cubic polynomials, up to affine conjugacy, given by a fixed value of the multiplier at a non-repelling fixed point. In particular, we study the location of the $main\\, cubioid$ in this parameter space. The $main\\, cubioid$ is the set of affine conjugacy classes of complex cubic polynomials that have certain dynamical properties generalizing those of polynomials $z^2+c$ for $c$ in the filled main cardioid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-08T01:41:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F20"
    ],
    "keywords": [
      "parameter space",
      "affine conjugacy classes",
      "complex cubic polynomials",
      "study slices",
      "filled main cardioid"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}