{
  "id": "0901.3000",
  "version": "v1",
  "published": "2009-01-20T08:20:52.000Z",
  "updated": "2009-01-20T08:20:52.000Z",
  "title": "Equidistribution speed for endomorphisms of projective spaces",
  "authors": [
    "Tien-Cuong Dinh",
    "Nessim Sibony"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k, f^n its iterate of order n and \\mu the equilibrium measure of f. We estimate the speed of convergence in the following known result. If a is a Zariski generic point in P^k, the probability measures, equidistributed on the preimages of a under f^n, converge to \\mu as n goes to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-20T08:20:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37Fxx",
      "32Hxx"
    ],
    "keywords": [
      "equidistribution",
      "zariski generic point",
      "equilibrium measure",
      "probability measures",
      "complex projective space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}