{
  "id": "2004.11294",
  "version": "v1",
  "published": "2020-04-23T16:22:18.000Z",
  "updated": "2020-04-23T16:22:18.000Z",
  "title": "Fluctuation of eigenvalues of symmetric circulant matrices with independent entries",
  "authors": [
    "Shambhu Nath Maurya",
    "Koushik Saha"
  ],
  "comment": "19 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we study the fluctuation of linear eigenvalue statistics of symmetric circulant matrices $(SC_n)$ with independent entries which satisfy some moment conditions. We show that $\\frac{1}{\\sqrt{n}} \\Tr \\phi(SC_n)$ obey the central limit theorem (CLT) type result, where $\\phi$ is a nice test function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-23T16:22:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20"
    ],
    "keywords": [
      "symmetric circulant matrices",
      "independent entries",
      "fluctuation",
      "central limit theorem",
      "linear eigenvalue statistics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}