{
  "id": "1312.6326",
  "version": "v2",
  "published": "2013-12-22T00:10:22.000Z",
  "updated": "2014-06-12T09:28:50.000Z",
  "title": "Some large deviation results for near intermediate random geometric graphs",
  "authors": [
    "Kwabena Doku-Amponsah"
  ],
  "comment": "7 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We find large deviation principles for the degree distribution and the proportion of isolated vertices for the near intermediate random geometric graph models on n vertices placed uniformly in [0, 1]^d, for d in N. In the course of the proof of these large deviation results we find joint large deviation principle for the empirical locality measure of the coloured random geometric graphs,(Canning & Penman, 2003).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-12T09:28:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "05C80"
    ],
    "keywords": [
      "large deviation results",
      "intermediate random geometric graph models",
      "joint large deviation principle",
      "coloured random geometric graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.6326D"
    }
  }
}