THE SPECTRUM EDGE OF RANDOM-MATRIX ENSEMBLES

被引：362

作者：

FORRESTER, PJ

机构：

[1] Department of Mathematics, La Trobe University, Bundoora

来源：

NUCLEAR PHYSICS B | 1993年 / 402卷 / 03期

关键词：

D O I：

10.1016/0550-3213(93)90126-A

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The scaled n-level distribution and scaled level spacing distribution for the small and large eigenvalues of various ensembles of random matrices are considered. Exact results for both these quantities are obtained for various special values of the parameters in the gaussian and Laguerre ensembles. On the basis of a Coulomb gas analogy, an asymptotic formula for the distribution of the smallest and largest eigenvalue is given in terms of the eigenvalue density at the spectrum edge.

引用

页码：709 / 728

页数：20

共 21 条

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