An Estimate for the Average Spectral Measure of Random Band Matrices

被引:0
|
作者
Sasha Sodin
机构
[1] Institute for Advanced Study,School of Mathematics
来源
关键词
Random band matrices; Density of states; Wegner estimate; Perturbation series;
D O I
暂无
中图分类号
学科分类号
摘要
For a class of random band matrices of band width W, we prove regularity of the average spectral measure at scales ϵ≥W−0.99, and find its asymptotics at these scales.
引用
收藏
页码:46 / 59
页数:13
相关论文
共 50 条
  • [1] An Estimate for the Average Spectral Measure of Random Band Matrices
    Sodin, Sasha
    JOURNAL OF STATISTICAL PHYSICS, 2011, 144 (01) : 46 - 59
  • [2] Spectral Measure of Heavy Tailed Band and Covariance Random Matrices
    Belinschi, Serban
    Dembo, Amir
    Guionnet, Alice
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (03) : 1023 - 1055
  • [3] Spectral Measure of Heavy Tailed Band and Covariance Random Matrices
    Serban Belinschi
    Amir Dembo
    Alice Guionnet
    Communications in Mathematical Physics, 2009, 289 : 1023 - 1055
  • [4] CONCENTRATION INEQUALITIES FOR THE SPECTRAL MEASURE OF RANDOM MATRICES
    Delyon, Bernard
    ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2010, 15 : 549 - 561
  • [5] The spectral edge of some random band matrices
    Sodin, Sasha
    ANNALS OF MATHEMATICS, 2010, 172 (03) : 2223 - 2251
  • [6] Moderate deviations for the spectral measure of certain random matrices
    Dembo, A
    Guionnet, A
    Zeitouni, O
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2003, 39 (06): : 1013 - 1042
  • [7] LOGARITHMIC TERMS IN THE SPECTRAL STATISTICS OF BAND RANDOM MATRICES
    CAURIER, E
    RAMANI, A
    GRAMMATICOS, B
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (15): : 3845 - 3852
  • [8] Concentration of the spectral measure for large random matrices with stable entries
    Houdre, Christian
    Xu, Hua
    ELECTRONIC JOURNAL OF PROBABILITY, 2008, 13
  • [9] Spectral measure of large random Hankel, Markov and Toeplitz matrices
    Bryc, W
    Dembo, A
    Jiang, TF
    ANNALS OF PROBABILITY, 2006, 34 (01): : 1 - 38
  • [10] Analysis of the limiting spectral measure of large random matrices of the separable covariance type
    Couillet, Romain
    Hachem, Walid
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2014, 3 (04)