{
  "id": "1209.0696",
  "version": "v2",
  "published": "2012-09-04T16:39:10.000Z",
  "updated": "2012-12-03T17:19:45.000Z",
  "title": "Accuracy and range of validity of the Wigner surmise for mixed symmetry classes in random matrix theory",
  "authors": [
    "Shinsuke M. Nishigaki"
  ],
  "comment": "3 pages in REVTeX, 10 figures. (v2) Title changed, version to appear in Phys. Rev. E",
  "journal": "Phys. Rev. E86 (2012) 062102",
  "categories": [
    "math-ph",
    "cond-mat.dis-nn",
    "hep-lat",
    "math.MP"
  ],
  "abstract": "Schierenberg et al. [Phys. Rev. E 85, 061130 (2012)] recently applied the Wigner surmise, i.e., substitution of \\infty \\times \\infty matrices by their 2 \\times 2 counterparts for the computation of level spacing distributions, to random matrix ensembles in transition between two universality classes. I examine the accuracy and the range of validity of the surmise for the crossover between the Gaussian orthogonal and unitary ensembles by contrasting them with the large-N results that I evaluated using the Nystrom-type method for the Fredholm determinant. The surmised expression at the best-fitting parameter provides a good approximation for 0 \\lesssim s \\lesssim 2, i.e., the validity range of the original surmise.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-03T17:19:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "02.10.Yn",
      "02.50.-r",
      "05.45.Mt"
    ],
    "keywords": [
      "random matrix theory",
      "mixed symmetry classes",
      "wigner surmise",
      "random matrix ensembles",
      "gaussian orthogonal"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.86.062102",
      "journal": "Physical Review E",
      "year": 2012,
      "month": "Dec",
      "volume": 86,
      "number": 6,
      "pages": "062102"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1184356,
      "adsabs": "2012PhRvE..86f2102N"
    }
  }
}