{
  "id": "0709.1270",
  "version": "v2",
  "published": "2007-09-09T18:49:13.000Z",
  "updated": "2007-09-11T11:18:30.000Z",
  "title": "Divergence of a stationary random vector field can be always positive (a Weiss' phenomenon)",
  "authors": [
    "Boris Tsirelson"
  ],
  "comment": "6 pages. The phenomenon is not new, -- published by B. Weiss in 1997",
  "categories": [
    "math.PR"
  ],
  "abstract": "The divergence of a stationary random vector field at a given point is usually a centered (that is, zero mean) random variable. Strangely enough, it can be equal to 1 almost surely. This fact is another form of a phenomenon disclosed by B. Weiss in 1997.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-11T11:18:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary random vector field",
      "divergence",
      "phenomenon",
      "zero mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1270T"
    }
  }
}