{
  "id": "1603.08476",
  "version": "v1",
  "published": "2016-03-28T18:41:23.000Z",
  "updated": "2016-03-28T18:41:23.000Z",
  "title": "Transfer matrix approach to 1d random band matrices: density of states",
  "authors": [
    "Mariya Shcherbina",
    "Tatyana Shcherbina"
  ],
  "comment": "27 p",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the special case of $n\\times n$ 1D Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix $J=(-W^2\\triangle+1)^{-1}$. Assuming that $n\\ge CW\\log W\\gg 1$, we prove that the averaged density of states coincides with the Wigner semicircle law up to the correction of order $W^{-1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-28T18:41:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "1d random band matrices",
      "transfer matrix approach",
      "1d gaussian hermitian random band",
      "gaussian hermitian random band matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}