SPECTRAL PROPERTIES OF WIGNER MATRICES

被引:0
|
作者
Schlein, Benjamin [1 ]
机构
[1] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany
来源
MATHEMATICAL RESULTS IN QUANTUM PHYSICS | 2011年
关键词
SEMICIRCLE LAW; UNIVERSALITY; DELOCALIZATION; KERNEL;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In these notes we review recent progress (and, in Section 5, we announce a new result) concerning the statistical properties of the spectrum of Wigner random matrices.
引用
收藏
页码:79 / 94
页数:16
相关论文
共 50 条
  • [21] Independence of linear spectral statistics and the point process at the edge of Wigner matrices
    Banerjee, Debapratim
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2024, 13 (04)
  • [22] Spectral properties for the Laplacian of a generalized Wigner matrix
    Chatterjee, Anirban
    Hazra, Rajat Subhra
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2022, 11 (03)
  • [23] Spectral properties of modularity matrices
    Bolla, Marianna
    Bullins, Brian
    Chaturapruek, Sorathan
    Chen, Shiwen
    Friedl, Katalin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 473 : 359 - 376
  • [24] Spectral properties of distance matrices
    Bogomolny, E
    Bohigas, O
    Schmit, C
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (12): : 3595 - 3616
  • [25] Wigner random banded matrices with sparse structure: Local spectral density of states
    Fyodorov, YV
    Chubykalo, OA
    Izrailev, FM
    Casati, G
    PHYSICAL REVIEW LETTERS, 1996, 76 (10) : 1603 - 1606
  • [26] A Limit Theorem at the Spectral Edge for Corners of Time-Dependent Wigner Matrices
    Sodin, Sasha
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (17) : 7575 - 7607
  • [27] A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices
    Anderson, Greg W.
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2015, 51 (03): : 809 - 841
  • [28] CLT FOR LINEAR SPECTRAL STATISTICS OF HERMITIAN WIGNER MATRICES WITH GENERAL MOMENT CONDITIONS
    Bao, Z.
    Xie, J.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2016, 60 (02) : 187 - 206
  • [29] Thermalisation for Wigner matrices
    Cipolloni, Giorgio
    Erdos, Laszlo
    Schroeder, Dominik
    JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 282 (08)
  • [30] The Metrication of LPI Radar Waveforms Based on the Asymptotic Spectral Distribution of Wigner Matrices
    Chen, Jun
    Wang, Fei
    Zhou, Jianjiang
    2015 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2015, : 331 - 335