{
  "id": "1305.5788",
  "version": "v2",
  "published": "2013-05-24T16:40:56.000Z",
  "updated": "2015-03-01T20:26:57.000Z",
  "title": "Laminations from the Main Cubioid",
  "authors": [
    "Alexander Blokh",
    "Lex Oversteegen",
    "Ross Ptacek",
    "Vladlen Timorin"
  ],
  "comment": "48 pages, 4 figures (in the new version a few typos have been corrected and a few proofs have been expanded). arXiv admin note: text overlap with arXiv:1106.5022",
  "categories": [
    "math.DS"
  ],
  "abstract": "According to a recent paper \\cite{bopt13}, polynomials from the closure $\\overline{\\rm PHD}_3$ of the {\\em Principal Hyperbolic Domain} ${\\rm PHD}_3$ of the cubic connectedness locus have a few specific properties. The family $\\mathrm{CU}$ of all polynomials with these properties is called the \\emph{Main Cubioid}. In this paper we describe the set $\\mathrm{CU}^c$ of laminations which can be associated to polynomials from $\\mathrm{CU}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-24T16:40:56.000Z",
      "abstract": "According to a recent paper \\cite{bopt13}, polynomials from the closure $\\ol{\\phd}_3$ of the {\\em Principal Hyperbolic Domain} ${\\rm PHD}_3$ of the cubic connectedness locus have a few specific properties. The family $\\cu$ of all polynomials with these properties is called the \\emph{Main Cubioid}. In this paper we describe the set $\\cu^c$ of laminations which can be associated to polynomials from $\\cu$.",
      "comment": "41 pages, 4 figures. arXiv admin note: text overlap with arXiv:1106.5022",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-03-01T20:26:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F20",
      "37C25",
      "37F10",
      "37F50"
    ],
    "keywords": [
      "main cubioid",
      "laminations",
      "polynomials",
      "principal hyperbolic domain",
      "cubic connectedness locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5788B"
    }
  }
}