Edge Universality for Orthogonal Ensembles of Random Matrices

被引：13

作者：

Shcherbina, M. ^{[1
]}

机构：

[1] Inst Low Temp Phys, Kharkov, Ukraine

来源：

JOURNAL OF STATISTICAL PHYSICS | 2009年 / 136卷 / 01期

关键词：

Random matrices; Orthogonal ensembles; Universality; SPACING DISTRIBUTIONS; UNITARY;

D O I：

10.1007/s10955-009-9766-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove edge universality of local eigenvalue statistics for orthogonal invariant matrix models with real analytic potentials and one interval limiting spectrum. Our starting point is the result of Shcherbina (Commun. Math. Phys. 285, 957-974, 2009) on the representation of the reproducing matrix kernels of orthogonal ensembles in terms of scalar reproducing kernel of corresponding unitary ensemble.

引用

页码：35 / 50

页数：16

共 50 条

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