{
  "id": "1901.01567",
  "version": "v1",
  "published": "2019-01-06T16:21:06.000Z",
  "updated": "2019-01-06T16:21:06.000Z",
  "title": "Small gaps of GOE",
  "authors": [
    "Renjie Feng",
    "Gang Tian",
    "Dongyi Wei"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we study the smallest gaps of the Gaussian orthogonal ensemble. The main result is that the smallest gaps, after normalized by $n$, will tend to a Poisson distribution, and the limiting density of the $k$-th normalized smallest gaps is $ 2{}x^{2k-1}e^{-x^{2}}/(k-1)!$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-06T16:21:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small gaps",
      "th normalized smallest gaps",
      "poisson distribution",
      "main result",
      "gaussian orthogonal ensemble"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}