{
  "id": "1503.04239",
  "version": "v1",
  "published": "2015-03-13T22:41:55.000Z",
  "updated": "2015-03-13T22:41:55.000Z",
  "title": "On the Ornstein-Zernike behaviour for the supercritical Random-Cluster model on $\\mathbb{Z}^{d},d\\geq3.$",
  "authors": [
    "M. Campanino",
    "M. Gianfelice"
  ],
  "comment": "The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-015-1222-0. arXiv admin note: text overlap with arXiv:1104.1595",
  "doi": "10.1007/s10955-015-1222-0",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove Ornstein-Zernike behaviour in every direction for finite connection functions of the random cluster model on $\\mathbb{Z}^{d},d\\geq3,$ for $q\\geq1,$ when occupation probabilities of the bonds are close to $1.$ Moreover, we prove that equi-decay surfaces are locally analytic, strictly convex, with positive Gaussian curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-13T22:41:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43",
      "60K15",
      "60F17"
    ],
    "keywords": [
      "supercritical random-cluster model",
      "ornstein-zernike behaviour",
      "random cluster model",
      "finite connection functions",
      "occupation probabilities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2015,
      "month": "Mar",
      "pages": 60
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JSP...tmp...60C"
    }
  }
}