{
  "id": "math/9701228",
  "version": "v1",
  "published": "1997-01-23T00:00:00.000Z",
  "updated": "1997-01-23T00:00:00.000Z",
  "title": "The probability that Brownian motion almost covers a line",
  "authors": [
    "Robin Pemantle"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Lower and upper estimates are given for the probability that the epsilon-enlargement of planar Brownian motion to time 1 (the epsilon sausage) contains a unit line segment. The estimates imply that Brownian motion to time 1 itself contains no line segment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-01-23T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probability",
      "unit line segment",
      "planar brownian motion",
      "upper estimates",
      "epsilon sausage"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997AnIHP..33..147P"
    }
  }
}