{
  "id": "2107.11962",
  "version": "v1",
  "published": "2021-07-26T05:16:50.000Z",
  "updated": "2021-07-26T05:16:50.000Z",
  "title": "On hyperbolic sets of polynomials",
  "authors": [
    "Genadi Levin",
    "Feliks Przytycki"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let f be an infinitely-renormalizable quadratic polynomial and J_\\infty be the intersection of forward orbits of \"small\" Julia sets of simple renormalizations of f. We prove that J_\\infty contains no hyperbolic sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-26T05:16:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic sets",
      "infinitely-renormalizable quadratic polynomial",
      "julia sets",
      "simple renormalizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}