{
  "id": "1604.01172",
  "version": "v1",
  "published": "2016-04-05T08:38:04.000Z",
  "updated": "2016-04-05T08:38:04.000Z",
  "title": "On the excursions of drifted Brownian motion and the successive passage times of Brownian motion",
  "authors": [
    "Mario Abundo"
  ],
  "comment": "4 figures, accepted for publication in Physica A",
  "categories": [
    "math.PR"
  ],
  "abstract": "By using the law of the excursions of Brownian motion with drift, we find the distribution of the $n-$th passage time of Brownian motion through a straight line $S(t)= a + bt.$ In the special case when $b = 0,$ we extend the result to a space-time transformation of Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-05T08:38:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J60",
      "60H05",
      "60H10"
    ],
    "keywords": [
      "successive passage times",
      "drifted brownian motion",
      "excursions",
      "th passage time",
      "straight line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}