{
  "id": "math/9512229",
  "version": "v1",
  "published": "1995-12-01T00:00:00.000Z",
  "updated": "1995-12-01T00:00:00.000Z",
  "title": "Dynamics of quadratic polynomials II: rigidity",
  "authors": [
    "Mikhail Lyubich"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This is a continuation of the series of notes on the dynamics of quadratic polynomials. We show the following Rigidity Theorem: Any combinatorial class contains at most one quadratic polynomial satisfying the secondary limbs condition with a-priori bounds. As a corollary, such maps are combinatorially and topologically rigid, and as a consequence, the Mandelbrot set is locally connected at the correspoinding parameter values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-12-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic polynomial",
      "secondary limbs condition",
      "combinatorial class contains",
      "rigidity theorem",
      "a-priori bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995math.....12229L"
    }
  }
}