{
  "id": "2112.08446",
  "version": "v2",
  "published": "2021-12-15T19:35:46.000Z",
  "updated": "2022-05-18T00:21:32.000Z",
  "title": "Counting Hyperbolic Components in the Main Molecule",
  "authors": [
    "Schinella D'Souza"
  ],
  "comment": "7 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We count the number of hyperbolic components of period n that lie on the main molecule of the Mandelbrot set. We give a formula for how to compute the number of these hyperbolic components of period n in terms of the divisors of n and in the prime power case, an explicit formula is derived.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-05-18T00:21:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F20"
    ],
    "keywords": [
      "counting hyperbolic components",
      "main molecule",
      "prime power case",
      "explicit formula",
      "mandelbrot set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}