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

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

2000-03-17

arxiv.org/abs/math/0003106v2

Mathematics

Spectral Theory

35 pages, no figures

Scientific paper

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<

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