{
  "id": "0704.3902",
  "version": "v1",
  "published": "2007-04-30T09:16:35.000Z",
  "updated": "2007-04-30T09:16:35.000Z",
  "title": "On the number of collisions in $Λ$-coalescents",
  "authors": [
    "Alexander Gnedin",
    "Yuri Yakubovich"
  ],
  "comment": "18 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We examine the total number of collisions $C_n$ in the $\\Lambda$-coalescent process which starts with $n$ particles. A linear growth and a stable limit law for $C_n$ are shown under the assumption of a power-like behaviour of the measure $\\Lambda$ near 0 with exponent $0<\\alpha<1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-30T09:16:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10",
      "60K15"
    ],
    "keywords": [
      "collisions",
      "total number",
      "coalescent process",
      "linear growth",
      "stable limit law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.3902G"
    }
  }
}