{
  "id": "math/0506186",
  "version": "v1",
  "published": "2005-06-10T06:47:59.000Z",
  "updated": "2005-06-10T06:47:59.000Z",
  "title": "Non-colliding system of Brownian particles as Pfaffian process",
  "authors": [
    "Makoto Katori"
  ],
  "comment": "LaTeX, 14 pages, 1 figure",
  "journal": "RIMS Kokyuroku 1422 (2005) 12-25",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the paper [7] we studied the temporally inhomogeneous system of non-colliding Brownian motions and proved that multi-time correlation functions are generally given by the quaternion determinants in the sense of Dyson and Mehta. In this report we give another proof of the equivalent statement using Fredholm determinant and Fredholm pfaffian, and claim that the present system is a typical example of pfaffian processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-10T06:47:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brownian particles",
      "non-colliding system",
      "multi-time correlation functions",
      "fredholm pfaffian",
      "fredholm determinant"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6186K"
    }
  }
}