{
  "id": "1003.6121",
  "version": "v1",
  "published": "2010-03-31T19:29:47.000Z",
  "updated": "2010-03-31T19:29:47.000Z",
  "title": "Fluctuations of eigenvalues of matrix models and their applications",
  "authors": [
    "T. Kriecherbauer",
    "M. Shcherbina"
  ],
  "comment": "22 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the expectation of linear eigenvalue statistics of matrix models with any $\\beta>0$, assuming that the potential $V$ is a real analytic function and that the corresponding equilibrium measure has a one-interval support. We obtain the first order (with respect to $n^{-1}$) correction terms for the expectation and apply this result to prove bulk universality for real symmetric and symplectic matrix models with the same $V$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-31T19:29:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluctuations",
      "applications",
      "real analytic function",
      "symplectic matrix models",
      "linear eigenvalue statistics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.6121K"
    }
  }
}