{
  "id": "0906.3481",
  "version": "v1",
  "published": "2009-06-18T16:51:22.000Z",
  "updated": "2009-06-18T16:51:22.000Z",
  "title": "Brownian motion in a ball in the presence of spherical obstacles",
  "authors": [
    "Julie O'Donovan"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CA",
    "math.PR"
  ],
  "abstract": "We study the problem of when a Brownian motion in the unit ball has a positive probability of avoiding a countable collection of spherical obstacles. We give a necessary and sufficient integral condition for such a collection to be avoidable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-18T16:51:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B05",
      "60J65"
    ],
    "keywords": [
      "brownian motion",
      "spherical obstacles",
      "sufficient integral condition",
      "unit ball",
      "countable collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.3481O"
    }
  }
}