{
  "id": "1002.4796",
  "version": "v1",
  "published": "2010-02-25T14:31:42.000Z",
  "updated": "2010-02-25T14:31:42.000Z",
  "title": "Transformations of one-dimensional Gibbs measures with infinite range interaction",
  "authors": [
    "Frank Redig",
    "Feijia Wang"
  ],
  "journal": "Markov Proc. Rel. Fields, 16, pp. 737-752, 2010",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study single-site stochastic and deterministic transforma- tions of one-dimensional Gibbs measures in the uniqueness regime with infinite-range interactions. We prove conservation of Gibbsianness and give quantitative estimates on the decay of the transformed potential. As examples, we consider exponentially decaying potentials, and potentials decaying as a power-law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-25T14:31:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional gibbs measures",
      "infinite range interaction",
      "transformations",
      "study single-site stochastic",
      "uniqueness regime"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.4796R"
    }
  }
}