{
  "id": "math/9710210",
  "version": "v2",
  "published": "1997-10-15T00:00:00.000Z",
  "updated": "1998-08-11T17:06:38.000Z",
  "title": "The multipliers of periodic points in one-dimensional dynamics",
  "authors": [
    "Marco Martens",
    "Welington de Melo"
  ],
  "journal": "Nonlinearity 12 (1999), 217--227",
  "doi": "10.1088/0951-7715/12/2/003",
  "categories": [
    "math.DS"
  ],
  "abstract": "It will be shown that the smooth conjugacy class of an $S-$unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the periodic orbits. This generalizes a result by M.Shub and D.Sullivan for smooth expanding maps of the circle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-08-11T17:06:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic points",
      "one-dimensional dynamics",
      "multipliers",
      "smooth conjugacy class",
      "unimodal map"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}