{
  "id": "2001.05826",
  "version": "v1",
  "published": "2020-01-16T14:47:16.000Z",
  "updated": "2020-01-16T14:47:16.000Z",
  "title": "Local moderate and precise large deviations via cluster expansions",
  "authors": [
    "Giuseppe Scola"
  ],
  "comment": "30 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a system of classical particles confined in a box $\\Lambda \\subset \\mathbb{R}^d$ with general boundary conditions interacting via a stable and regular pair potential. Based on the validity of the cluster expansion for the canonical partition function in the high temperature - low density regime we prove moderate and precise large deviations from the mean value of the number of particles with respect to the grand-canonical Gibbs measure. In this way we have a direct method of computing both the exponential rate as well as the pre-factor and obtain explicit error terms. Estimates comparing with the infinite volume versions of the above are also provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-16T14:47:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F10",
      "82B05"
    ],
    "keywords": [
      "precise large deviations",
      "cluster expansion",
      "local moderate",
      "low density regime",
      "regular pair potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}