{
  "id": "math/0511702",
  "version": "v1",
  "published": "2005-11-29T12:59:36.000Z",
  "updated": "2005-11-29T12:59:36.000Z",
  "title": "Fragmentation associated to Levy processes using snake",
  "authors": [
    "Romain Abraham",
    "Jean-Francois Delmas"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the height process of a Levy process with no negative jumps, and its associated continuous tree representation. Using Levy snake tools developed by Duquesne and Le Gall, with an underlying Poisson process, we construct a fragmentation process, which in the stable case corresponds to the self-similar fragmentation described by Miermont. For the general fragmentation process we compute a family of dislocation measures as well as the law of the size of a tagged fragment. We also give a special Markov property for the snake which is interesting in itself.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-29T12:59:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "levy processes",
      "special markov property",
      "general fragmentation process",
      "levy snake tools"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11702A"
    }
  }
}