{
  "id": "math/0610509",
  "version": "v1",
  "published": "2006-10-17T08:53:24.000Z",
  "updated": "2006-10-17T08:53:24.000Z",
  "title": "An extension to the Wiener space of the arbitrary functions principle",
  "authors": [
    "Nicolas Bouleau"
  ],
  "journal": "Comptes rendus de l'acad\\'{e}mie des sciences, Math\\'{e}matiques 343 (2006) 329-332",
  "categories": [
    "math.PR"
  ],
  "abstract": "The arbitrary functions principle says that the fractional part of $nX$ converges stably to an independent random variable uniformly distributed on the unit interval, as soon as the random variable $X$ possesses a density or a characteristic function vanishing at infinity. We prove a similar property for random variables defined on the Wiener space when the stochastic measure $dB\\_s$ is crumpled on itself.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-17T08:53:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31C25",
      "60H07"
    ],
    "keywords": [
      "wiener space",
      "random variable",
      "arbitrary functions principle says",
      "independent random",
      "fractional part"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10509B"
    }
  }
}