EIGENVALUE STATISTICS OF DISTORTED RANDOM MATRICES

被引:22
|
作者
CHEON, T [1 ]
机构
[1] HOSEI UNIV,DEPT PHYS,CHIYODA KU,TOKYO 142,JAPAN
关键词
D O I
10.1103/PhysRevLett.65.529
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A numerical study of a set of random matrices which interpolate Poisson and Gaussian orthogonal ensembles is reported. The result indicates that the transition from Poisson to Wigner distributions for the nearest-level spacing does not depend on the details of the random-matrix parametrization and is essentially governed by a single parameter. Brodys one-parameter interpolation formula is found to describe the transition rather well. © 1990 The American Physical Society.
引用
收藏
页码:529 / 532
页数:4
相关论文
共 50 条
  • [1] EIGENVALUE STATISTICS OF RANDOM REAL MATRICES
    LEHMANN, N
    SOMMERS, HJ
    PHYSICAL REVIEW LETTERS, 1991, 67 (08) : 941 - 944
  • [2] Random matrices: Universality of local eigenvalue statistics
    Tao, Terence
    Vu, Van
    ACTA MATHEMATICA, 2011, 206 (01) : 127 - 204
  • [3] Largest eigenvalue statistics of sparse random adjacency matrices
    Slavov, Bogdan
    Polovnikov, Kirill
    Nechaev, Sergei
    Pospelov, Nikita
    arXiv, 2023,
  • [4] FLUCTUATIONS OF LINEAR EIGENVALUE STATISTICS OF RANDOM BAND MATRICES
    Jana, I.
    Saha, K.
    Soshnikov, A.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2016, 60 (03) : 407 - 443
  • [5] On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices
    A. Lytova
    L. Pastur
    Journal of Statistical Physics, 2008, 133 : 871 - 882
  • [6] Linear eigenvalue statistics of random matrices with a variance profile
    Adhikari, Kartick
    Jana, Indrajit
    Saha, Koushik
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2021, 10 (03)
  • [7] On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices
    Lytova, A.
    Pastur, L.
    JOURNAL OF STATISTICAL PHYSICS, 2008, 133 (05) : 871 - 882
  • [8] Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge
    Terence Tao
    Van Vu
    Communications in Mathematical Physics, 2010, 298 : 549 - 572
  • [9] On the Local Eigenvalue Statistics for Random Band Matrices in the Localization Regime
    Hislop, Peter D.
    Krishna, M.
    JOURNAL OF STATISTICAL PHYSICS, 2022, 187 (03)
  • [10] Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge
    Tao, Terence
    Vu, Van
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 298 (02) : 549 - 572