{
  "id": "1507.04379",
  "version": "v1",
  "published": "2015-07-15T20:20:33.000Z",
  "updated": "2015-07-15T20:20:33.000Z",
  "title": "Continuum Cascade Model: Branching Random Walk for Traveling Wave",
  "authors": [
    "Yoshiaki Itoh"
  ],
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The food web is a directed graph in which nodes label species and directed links represent the predation between species. Cascade models generate random food webs. The recursion to obtain the probability distribution of the longest chain length has the solution with traveling wave. We consider a branching random walk to study the asymptotic probability on the wave front.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-15T20:20:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "branching random walk",
      "continuum cascade model",
      "traveling wave",
      "cascade models generate random food",
      "models generate random food webs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}