{
  "id": "1309.2432",
  "version": "v2",
  "published": "2013-09-10T09:45:15.000Z",
  "updated": "2013-12-13T07:53:27.000Z",
  "title": "Upper bound on the decay of correlations in a general class of O(N)-symmetric models",
  "authors": [
    "Maxime Gagnebin",
    "Yvan Velenik"
  ],
  "comment": "Version accepted for publication in Commun. Math. Phys",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a general class of two-dimensional spin systems, with continuous but not necessarily smooth, possibly long-range, $O(N)$-symmetric interactions, for which we establish algebraically decaying upper bounds on spin-spin correlations under all infinite-volume Gibbs measures. As a by-product, we also obtain estimates on the effective resistance of a (possibly long-range) resistor network in which randomly selected edges are shorted.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-13T07:53:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general class",
      "possibly long-range",
      "infinite-volume gibbs measures",
      "two-dimensional spin systems",
      "spin-spin correlations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2075-0",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Dec",
      "volume": 332,
      "number": 3,
      "pages": 1235
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.332.1235G"
    }
  }
}