Universality in invariant random-matrix models: Existence near the soft edge

被引：15
|
作者：
Kanzieper, E
Freilikher, V
机构：
[1] The Jack and Pearl Resnick Institute of Advanced Technology, Department of Physics, Bar-Ilan University, Ramat-Gan
来源：
PHYSICAL REVIEW E | 1997年 / 55卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.55.3712
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We consider two non-Gaussian ensembles of large Hermitian random matrices with strong level confinement and show that near the soft edge of the spectrum both scaled density of states and eigenvalue correlations follow so-called Airy laws inherent in the Gaussian unitary ensemble. This suggests that the invariant one-matrix models should display universal eigenvalue correlations in the soft-edge scaling limit.
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页码：3712 / 3715
页数：4
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