{
  "id": "math/0303117",
  "version": "v1",
  "published": "2003-03-10T20:58:46.000Z",
  "updated": "2003-03-10T20:58:46.000Z",
  "title": "Surface order large deviations for 2d FK-percolation and Potts models",
  "authors": [
    "O. Couronne",
    "R. J. Messikh"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "By adapting the renormalization techniques of Pisztora, we establish surface order large deviations estimates for FK-percolation on $\\Z^2$ with parameter $q\\geq 1$ and for the corresponding Potts models. Our results are valid up to the exponential decay threshold of dual connectivities which is widely believed to agree with the critical point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-10T20:58:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "60K35",
      "82B20",
      "82B43"
    ],
    "keywords": [
      "potts models",
      "2d fk-percolation",
      "surface order large deviations estimates",
      "establish surface order large deviations",
      "exponential decay threshold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3117C"
    }
  }
}