{
  "id": "0807.1030",
  "version": "v1",
  "published": "2008-07-07T15:11:45.000Z",
  "updated": "2008-07-07T15:11:45.000Z",
  "title": "Gaussian Multiplicative Chaos revisited",
  "authors": [
    "Raoul Robert",
    "Vincent Vargas"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we extend the theory of multiplicative chaos for positive definite functions in Rd of the form f(x) = 2 ln+ T|x|+ g(x) where g is a continuous and bounded function. The construction is simpler and more general than the one defined by Kahane in 1985. As main application, we give a rigorous mathematical meaning to the Kolmogorov-Obukhov model of energy dissipation in a turbulent flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-07T15:11:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G57",
      "60G15",
      "60G25",
      "28A80"
    ],
    "keywords": [
      "gaussian multiplicative chaos",
      "positive definite functions",
      "main application",
      "kolmogorov-obukhov model",
      "energy dissipation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.1030R"
    }
  }
}