{
  "id": "1111.3989",
  "version": "v2",
  "published": "2011-11-16T22:41:45.000Z",
  "updated": "2012-02-07T12:00:16.000Z",
  "title": "Bifurcation currents and equidistribution on parameter space",
  "authors": [
    "Romain Dujardin"
  ],
  "comment": "Revised version, 46 pages, to appear in the proceedings of the conference \"Frontiers in complex dynamics (Celebrating John Milnor's 80th birthday)\"",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "In this paper we review the use of techniques of positive currents for the study of parameter spaces of one-dimensional holomorphic dynamical systems (rational mappings on P^1 or subgroups of the Moebius group PSL(2,C)). The topics covered include: the construction of bifurcation currents and the characterization of their supports, the equidistribution properties of dynamically defined subvarieties on parameter space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-07T12:00:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F45",
      "37F30"
    ],
    "keywords": [
      "parameter space",
      "bifurcation currents",
      "one-dimensional holomorphic dynamical systems",
      "moebius group psl",
      "rational mappings"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.3989D"
    }
  }
}