{
  "id": "math/0609686",
  "version": "v3",
  "published": "2006-09-25T12:12:36.000Z",
  "updated": "2008-01-09T20:07:55.000Z",
  "title": "Equidistribution towards the Green current for holomorphic maps",
  "authors": [
    "Tien-Cuong Dinh",
    "Nessim Sibony"
  ],
  "comment": "34 pages, added theorem, propositions, references, to appear in Ann. Sci. ENS",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let f be a non-invertible holomorphic endomorphism of a projective space and f^n its iterate of order n. We prove that the pull-back by f^n of a generic (in the Zariski sense) hypersurface, properly normalized, converge to the Green current associated to f when n tends to infinity. We also give an analogous result for the pull-back of positive closed (1,1)-currents.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-01-09T20:07:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "32H50",
      "32U05"
    ],
    "keywords": [
      "holomorphic maps",
      "equidistribution",
      "non-invertible holomorphic endomorphism",
      "zariski sense",
      "projective space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9686D"
    }
  }
}