{
  "id": "math/0212170",
  "version": "v3",
  "published": "2002-12-12T09:20:53.000Z",
  "updated": "2004-03-08T10:26:20.000Z",
  "title": "Reversible coagulation-fragmentation processes and random combinatorial structures:asymptotics for the number of groups",
  "authors": [
    "Michael Erlihson",
    "Boris Granovsky"
  ],
  "comment": "This version will be published in the joutnal \" Random structures and Algorithms\"",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "We establish the central limit theorem for the number of groups at the equilibrium of a coagulation-fragmentation process given by a parameter function with polynomial rate of growth. The result obtained is compared with the one for random combinatorial structures obeying the logarithmic condition.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-03-08T10:26:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J27",
      "60K35",
      "82C22",
      "82C26"
    ],
    "keywords": [
      "reversible coagulation-fragmentation processes",
      "asymptotics",
      "central limit theorem",
      "parameter function",
      "polynomial rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12170E"
    }
  }
}