{
  "id": "math/0401402",
  "version": "v2",
  "published": "2004-01-28T17:17:41.000Z",
  "updated": "2004-09-14T12:40:04.000Z",
  "title": "Conditional Intensity and Gibbsianness of Determinantal Point Processes",
  "authors": [
    "Hans-Otto Georgii",
    "Hyun Jae Yoo"
  ],
  "comment": "revised and extended",
  "journal": "J. Statist. Phys. 118, 55-84 (2005)",
  "doi": "10.1007/s10955-004-8777-5",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Papangelou intensities of determinantal (or fermion) point processes are investigated. These exhibit a monotonicity property expressing the repulsive nature of the interaction, and satisfy a bound implying stochastic domination by a Poisson point process. We also show that determinantal point processes satisfy the so-called condition $(\\Sigma_{\\lambda})$ which is a general form of Gibbsianness. Under a continuity assumption, the Gibbsian conditional probabilities can be identified explicitly.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-09-14T12:40:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G55",
      "60K35"
    ],
    "keywords": [
      "conditional intensity",
      "gibbsianness",
      "determinantal point processes satisfy",
      "bound implying stochastic domination",
      "poisson point process"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2005,
      "month": "Jan",
      "volume": 118,
      "number": "1-2",
      "pages": 55
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005JSP...118...55G"
    }
  }
}