ASYMPTOTICS OF LEVEL-SPACING DISTRIBUTIONS FOR RANDOM MATRICES

被引：38

作者：

BASOR, EL

TRACY, CA

WIDOM, H

机构：

[1] UNIV CALIF DAVIS, INST THEORET DYNAM, DAVIS, CA 95616 USA

[2] UNIV CALIF DAVIS, DEPT MATH, DAVIS, CA 95616 USA

[3] UNIV CALIF SANTA CRUZ, DEPT MATH, SANTA CRUZ, CA 95064 USA

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 69卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.69.5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Asymptotic formulas for the probability of finding exactly n eigenvalues in an interval of length s, for large s and fixed n, are given for random matrices taken from the Gaussian ensembles (beta = 1, 2,4). These exact results are compared with the predictions of a continuum Coulomb gas model due to Dyson.

引用

页码：5 / 8

页数：4

共 17 条

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