{
  "id": "math/0104044",
  "version": "v2",
  "published": "2001-04-03T18:20:06.000Z",
  "updated": "2001-07-03T17:34:29.000Z",
  "title": "Phase transition for the frog model",
  "authors": [
    "O. S. M. Alves",
    "F. P. Machado",
    "S. Yu. Popov"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph G. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability 1-p. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for Z^d and regular trees.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-07-03T17:34:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "frog model",
      "simple random walk",
      "sleeping particle",
      "phase transition results",
      "discrete time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4044A"
    }
  }
}