On Asymptotic Expansions and Scales of Spectral Universality in Band Random Matrix Ensembles

2000/03/17 by A. Khorunzhy, W. Kirsch, Werner Kirsch +2
Mathematics · #15A52 #82B44 #Advanced Combinatorial Mathematics #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Spectral Theory (math.SP) #Stochastic processes and statistical mechanics #math.PR #math.SP #msc:15A52 #msc:82B44

paper · pdf · doi:10.48550/arxiv.math/0003106

35 pages, no figures

openalex publication_date 2000/03/17 · arxiv created 2002/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the family of N-dimensional real symmetric matrices H with random independent entries whose variance is determined by a function U((x-y)/b). In the limit of (relatively) narrow band width 1&lt;<b></b>

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