{
  "id": "1508.04338",
  "version": "v1",
  "published": "2015-08-18T14:56:53.000Z",
  "updated": "2015-08-18T14:56:53.000Z",
  "title": "Ergodic theory of the symmetric inclusion process",
  "authors": [
    "Kevin Kuoch",
    "Frank Redig"
  ],
  "comment": "19 pages, 2 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the existence of a successful coupling for $n$ particles in the symmetric inclusion process. As a consequence we characterize the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-18T14:56:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22",
      "82C26"
    ],
    "keywords": [
      "symmetric inclusion process",
      "ergodic theory",
      "invariant product measure",
      "ergodic measures",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150804338K"
    }
  }
}