{
  "id": "1312.7554",
  "version": "v3",
  "published": "2013-12-29T16:33:12.000Z",
  "updated": "2015-04-24T08:29:57.000Z",
  "title": "Equidistribution towards the bifurcation current I : Multipliers and degree d polynomials",
  "authors": [
    "Thomas Gauthier"
  ],
  "comment": "Modified third section. Some results of Section 3 have been made more precise. Minor errors corrected",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "In the moduli space of degree d polynomials, the set Per\\_n(w) of classes [f] for which f admits a cycle of exact period n and multiplier w is known to be an algebraic hypersurface. We prove that, given a complex number w, these hypersurfaces equidistribute towards the bifurcation current as n tends to infinity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-04T07:48:55.000Z",
      "abstract": "In the moduli space of degree d polynomials, the set Per_n(w) of classes [f] for which f admits a cycle of exact period n and multiplier w is known to be an algebraic hypersurface. We prove that, given a complex number w, these hypersurfaces equidistribute towards the bifurcation current as n tends to infinity.",
      "comment": "Introduction rewritten. Modified third section",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-04-24T08:29:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bifurcation current",
      "polynomials",
      "multiplier",
      "equidistribution",
      "exact period"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.7554G"
    }
  }
}