{
  "id": "1905.08136",
  "version": "v1",
  "published": "2019-05-20T14:29:53.000Z",
  "updated": "2019-05-20T14:29:53.000Z",
  "title": "Characteristic polynomials for random band matrices near the threshold",
  "authors": [
    "Tatyana Shcherbina"
  ],
  "comment": "21p",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The paper continues previous works which study the behavior of second correlation function of characteristic polynomials of the special case of $n\\times n$ one-dimensional Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix $J=(-W^2\\triangle+1)^{-1}$. Applying the transfer matrix approach, we study the case when the bandwidth $W$ is proportional to the threshold $\\sqrt{n}$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-20T14:29:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characteristic polynomials",
      "gaussian hermitian random band matrices",
      "one-dimensional gaussian hermitian random band",
      "second correlation function",
      "transfer matrix approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}