{
  "id": "1211.1284",
  "version": "v1",
  "published": "2012-11-06T16:07:13.000Z",
  "updated": "2012-11-06T16:07:13.000Z",
  "title": "A coupling construction for spin systems with infinite range interactions",
  "authors": [
    "François Ezanno"
  ],
  "comment": "12 pages",
  "journal": "journal = Markov Processes and Related Fields, Volume = 18, Year = 2012, Pages = 201--214",
  "categories": [
    "math.PR"
  ],
  "abstract": "Given a countable set of sites and a collection of flip rates at each site, we give a sufficient condition on the long-range dependancies of the flip rates ensuring the well-definedness of the corresponding spin system. This hypothesis has already been widely used since the interacting particle systems were introduced, but our construction brings a new insight to understand why it is natural. The process is first constructed as a limit of finite spin systems. Then we identify its generator and give a simple criterion for a measure to be invariant with respect to it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-06T16:07:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "infinite range interactions",
      "coupling construction",
      "flip rates",
      "finite spin systems",
      "corresponding spin system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1284E"
    }
  }
}