{
  "id": "0811.0276",
  "version": "v1",
  "published": "2008-11-03T12:01:18.000Z",
  "updated": "2008-11-03T12:01:18.000Z",
  "title": "Dispersion of volume under the action of isotropic Brownian flows",
  "authors": [
    "Georgi Dimitroff",
    "Michael Scheutzow"
  ],
  "comment": "To appear in \"Stochastic processes and their applications\"",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study transport properties of isotropic Brownian flows. Under a transience condition for the two-point motion, we show asymptotic normality of the image of a finite measure under the flow and -- under slightly stronger assumptions -- asymptotic normality of the distribution of the volume of the image of a set under the flow. Finally, we show that for a class of isotropic flows, the volume of the image of a nonempty open set (which is a martingale) converges to a random variable which is almost surely strictly positive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-03T12:01:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60G15",
      "60G60",
      "62H30"
    ],
    "keywords": [
      "isotropic brownian flows",
      "dispersion",
      "asymptotic normality",
      "nonempty open set",
      "study transport properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.0276D"
    }
  }
}