{
  "id": "2012.08349",
  "version": "v1",
  "published": "2020-12-15T15:08:01.000Z",
  "updated": "2020-12-15T15:08:01.000Z",
  "title": "Local Central Limit Theorem for Multi-Group Curie-Weiss Models",
  "authors": [
    "Michael Fleermann",
    "Werner Kirsch",
    "Gabor Toth"
  ],
  "journal": "J Theor Probab (2021)",
  "doi": "10.1007/s10959-021-01122-4",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We define a multi-group version of the mean-field spin model, also called Curie-Weiss model. It is known that, in the high temperature regime of this model, a central limit theorem holds for the vector of suitably scaled group magnetisations, that is the sum of spins belonging to each group. In this article, we prove a local central limit theorem for the group magnetisations in the high temperature regime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-15T15:08:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "82B20"
    ],
    "keywords": [
      "local central limit theorem",
      "multi-group curie-weiss models",
      "high temperature regime",
      "central limit theorem holds",
      "group magnetisations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}