{
  "id": "math/0511517",
  "version": "v1",
  "published": "2005-11-21T13:30:17.000Z",
  "updated": "2005-11-21T13:30:17.000Z",
  "title": "Exponential functionals of Brownian motion, I: Probability laws at fixed time",
  "authors": [
    "Hiroyuki Matsumoto",
    "Marc Yor"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/154957805100000159 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Probability Surveys 2005, Vol. 2, 312-347",
  "doi": "10.1214/154957805100000159",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper is the first part of our survey on various results about the distribution of exponential type Brownian functionals defined as an integral over time of geometric Brownian motion. Several related topics are also mentioned.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-21T13:30:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J65"
    ],
    "keywords": [
      "probability laws",
      "exponential functionals",
      "fixed time",
      "geometric brownian motion",
      "exponential type brownian functionals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11517M"
    }
  }
}