{
  "id": "math/0603402",
  "version": "v1",
  "published": "2006-03-16T16:08:03.000Z",
  "updated": "2006-03-16T16:08:03.000Z",
  "title": "Process level moderate deviations for stabilizing functionals",
  "authors": [
    "Peter Eichelsbacher",
    "Tomasz Schreiber"
  ],
  "comment": "18 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Functionals of spatial point process often satisfy a weak spatial dependence condition known as stabilization. In this paper we prove process level moderate deviation principles (MDP) for such functionals, which are a level-3 result for empirical point fields as well as a level-2 result for empirical point measures. The level-3 rate function coincides with the so-called specific information. We show that the general result can be applied to prove MDPs for various particular functionals, including random sequential packing, birth-growth models, germ-grain models and nearest neighbor graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-16T16:08:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60D05"
    ],
    "keywords": [
      "stabilizing functionals",
      "process level moderate deviation principles",
      "weak spatial dependence condition",
      "spatial point process",
      "nearest neighbor graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3402E"
    }
  }
}