{
  "id": "0907.1572",
  "version": "v1",
  "published": "2009-07-09T14:39:42.000Z",
  "updated": "2009-07-09T14:39:42.000Z",
  "title": "A Remark on Zeros of Brownian Motion",
  "authors": [
    "Michel Weber"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Let $ \\{W(t), t\\ge 0\\}$ be a standard Brownian motion. If $I$ is a bounded interval on which $W $ has no zero, an almost sure lower bound to $\\inf\\{|W(t)|, t\\in I\\}$ can be provided, when $I$ is taken from a given countable family of intervals covering the positive half-line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-09T14:39:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J65",
      "60G17"
    ],
    "keywords": [
      "sure lower bound",
      "standard brownian motion",
      "bounded interval",
      "positive half-line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.1572W"
    }
  }
}