{
  "id": "math/0405413",
  "version": "v1",
  "published": "2004-05-21T13:50:33.000Z",
  "updated": "2004-05-21T13:50:33.000Z",
  "title": "Strong approximations of three-dimensional Wiener sausages",
  "authors": [
    "Endre Csáki",
    "Yueyun Hu"
  ],
  "comment": "18 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we prove that the centered three-dimensional Wiener sausage can be strongly approximated by a one-dimensional Brownian motion running at a suitable time clock. The strong approximation gives all possible laws of iterated logarithm as well as the convergence in law in terms of process for the normalized Wiener sausage. The proof relies on Le Gall's estimates between the Wiener sausage and the Brownian intersection local times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-21T13:50:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15"
    ],
    "keywords": [
      "strong approximation",
      "brownian intersection local times",
      "centered three-dimensional wiener sausage",
      "one-dimensional brownian motion running",
      "suitable time clock"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5413C"
    }
  }
}