{
  "id": "1812.09097",
  "version": "v1",
  "published": "2018-12-21T13:03:39.000Z",
  "updated": "2018-12-21T13:03:39.000Z",
  "title": "Some explicit distributions for Brownian motion indexed by the Brownian tree",
  "authors": [
    "Jean-François Le Gall",
    "Armand Riera"
  ],
  "comment": "19 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive several explicit distributions of functionals of Brownian motion indexed by the Brownian tree. In particular, we give a direct proof of a result of Bousquet-M\\'elou and Janson identifying the distribution of the density at 0 of the integrated super-Brownian excursion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-21T13:03:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J65",
      "60J68",
      "60J80"
    ],
    "keywords": [
      "brownian motion",
      "brownian tree",
      "explicit distributions",
      "direct proof",
      "integrated super-brownian excursion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}