{
  "id": "1711.05028",
  "version": "v1",
  "published": "2017-11-14T09:51:40.000Z",
  "updated": "2017-11-14T09:51:40.000Z",
  "title": "Joint Large Deviation principle for empirical measures of the d-regular random graphs",
  "authors": [
    "U. Ibrahim",
    "A. Lotsi",
    "K. Doku-Amponsah"
  ],
  "comment": "5 pages",
  "categories": [
    "math.PR",
    "cs.IT",
    "math.CO",
    "math.IT"
  ],
  "abstract": "For a $d-$regular random model, we assign to vertices $q-$state spins. From this model, we define the \\emph{empirical co-operate measure}, which enumerates the number of co-operation between a given couple of spins, and \\emph{ empirical spin measure}, which enumerates the number of sites having a given spin on the $d-$regular random graph model. For these empirical measures we obtain large deviation principle(LDP) in the weak topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-14T09:51:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "05C80"
    ],
    "keywords": [
      "joint large deviation principle",
      "d-regular random graphs",
      "empirical measures",
      "regular random graph model",
      "regular random model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}