{
  "id": "0808.0762",
  "version": "v1",
  "published": "2008-08-06T02:22:50.000Z",
  "updated": "2008-08-06T02:22:50.000Z",
  "title": "On the Convergence of Optimal Measures",
  "authors": [
    "T. Bloom",
    "L. Bos",
    "N. Levenberg",
    "S. Waldron"
  ],
  "categories": [
    "math.CV",
    "math.CA"
  ],
  "abstract": "Using recent results of Berman and Boucksom we show that for a non-pluripolar compact set K in C^d and an admissible weight function w=e^{-\\phi} any sequence of so-called optimal measures converges weak-* to the equilibrium measure \\mu_{K,\\phi} of (weighted) Pluripotential Theory for K,\\phi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-06T02:22:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32U20",
      "31C10"
    ],
    "keywords": [
      "convergence",
      "non-pluripolar compact set",
      "optimal measures converges",
      "pluripotential theory",
      "admissible weight function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0762B"
    }
  }
}