Edge Scaling of the β-Jacobi Ensemble

被引：11

作者：

Holcomb, Diane ^{[1
]}

Flores, Gregorio R. Moreno ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2012年 / 149卷 / 06期

关键词：

beta-ensembles; Jacobi ensemble; Random matrices; Airy point process; LEVEL-SPACING DISTRIBUTIONS; RANDOM MATRICES; SPECTRUM EDGE; EIGENVALUE; DIFFUSION; PRODUCT; KERNEL; MODELS;

D O I：

10.1007/s10955-012-0634-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the scaling limit of the spectrum of the beta-Jacobi ensemble at the soft edge and hard edge for general values of beta. We show that the limiting point processes correspond respectively to the stochastic Airy and Bessel point processes introduced in Ramirez et al. (J. Am. Math. Soc. 24(4):919-944, 2011) and Ramirez and Rider (Commun. Math. Phys. 288(3):887-906, 2009).

引用

页码：1136 / 1160

页数：25

共 25 条

[1]

Bloemendal A., 2010, ARXIV10111877V2

[2]

Bourgade P., 2011, ARXIV11042272V5

[3] Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices [J].