{
  "id": "math/0002051",
  "version": "v1",
  "published": "2000-02-07T15:35:06.000Z",
  "updated": "2000-02-07T15:35:06.000Z",
  "title": "A Mixture of the Exclusion Process and the Voter Model",
  "authors": [
    "Vladimir Belitsky",
    "Pablo A. Ferrari",
    "Mikhail V. Menshikov",
    "Serguei Yu. Popov"
  ],
  "comment": "latex, 32 pages. Available online at: http://projecteuclid.org/euclid.bj/1080572342",
  "journal": "Bernoulli Volume 7, Number 1 (2001), 119-144",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a one-dimensional nearest-neighbor interacting particle system, which is a mixture of the simple exclusion process and the voter model. The state space is taken to be the countable set of the configurations that have a finite number of particles to the right of the origin and a finite number of empty sites to the left of it. We obtain criteria for the ergodicity and some other properties of this system using the method of Lyapunov functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-02-07T15:35:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "voter model",
      "one-dimensional nearest-neighbor interacting particle system",
      "finite number",
      "simple exclusion process",
      "state space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......2051B"
    }
  }
}