{
  "id": "math/0408128",
  "version": "v1",
  "published": "2004-08-10T09:59:19.000Z",
  "updated": "2004-08-10T09:59:19.000Z",
  "title": "Dual random fragmentation and coagulation and an application to the genealogy of Yule processes",
  "authors": [
    "Jean Bertoin",
    "Christina Goldschmidt"
  ],
  "comment": "14 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "The purpose of this work is to describe a duality between a fragmentation associated to certain Dirichlet distributions and a natural random coagulation. The dual fragmentation and coalescent chains arising in this setting appear in the description of the genealogy of Yule processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-10T09:59:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J80",
      "60J05"
    ],
    "keywords": [
      "dual random fragmentation",
      "yule processes",
      "application",
      "natural random coagulation",
      "dirichlet distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8128B"
    }
  }
}