{
  "id": "math/0512557",
  "version": "v1",
  "published": "2005-12-24T02:13:57.000Z",
  "updated": "2005-12-24T02:13:57.000Z",
  "title": "Lyapunov exponents and bifurcation current for polynomial-like maps",
  "authors": [
    "Ngoc-mai Pham"
  ],
  "comment": "22 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We study holomorphic families of polynomial-like maps depending on a parameter s. We prove that the partial sums of largest Lyapunov exponents are plurisubharmonic functions of s. We also study their continuity and introduce the bifurcation locus as the support of bifurcation currents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-24T02:13:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bifurcation current",
      "polynomial-like maps",
      "study holomorphic families",
      "largest lyapunov exponents",
      "bifurcation locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12557P"
    }
  }
}