{
  "id": "1212.6108",
  "version": "v2",
  "published": "2012-12-26T01:35:56.000Z",
  "updated": "2013-04-16T06:04:37.000Z",
  "title": "Correlation functions for zeros of a Gaussian power series and Pfaffians",
  "authors": [
    "Sho Matsumoto",
    "Tomoyuki Shirai"
  ],
  "comment": "22 pages, the final version",
  "journal": "Electronic Journal of Probability 18 (2013), no. 49, 1--18",
  "doi": "10.1214/EJP.v18-2545",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We further show that the product moments for absolute values and signatures of the power series can also be expressed by Pfaffians.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-16T06:04:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian power series",
      "correlation functions",
      "real gaussian coefficients form",
      "random power series",
      "pfaffian point process"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}