{
  "id": "0912.4181",
  "version": "v1",
  "published": "2009-12-21T14:55:18.000Z",
  "updated": "2009-12-21T14:55:18.000Z",
  "title": "Polynomial-like semi-conjugates of the shift map",
  "authors": [
    "Carsten Lunde Petersen"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "In this paper I prove that for a polynomial of degree $d$ with a Cantor Julia set $J$, the Julia set can be understood as the simplest possible quotiont of the one sided shift space $\\Sigma_d$ with dynamics given by the shift. Here simplest possible means that, the projection $\\pi: \\Sigma_d \\Rightarrow J$ is as injective as possible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-21T14:55:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F20"
    ],
    "keywords": [
      "shift map",
      "polynomial-like semi-conjugates",
      "cantor julia set",
      "sided shift space",
      "understood"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.4181L"
    }
  }
}