Density of eigenvalues of random normal matrices

被引：44

作者：

Elbau, P ^{[1
]}

Felder, G ^{[1
]}

机构：

[1] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 259卷 / 02期

关键词：

D O I：

10.1007/s00220-005-1372-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrodin is made rigorous by restricting normal matrices to have spectrum in a bounded set. It is shown that for a suitable class of potentials the asymptotic density of eigenvalues is uniform with support in the interior domain of a simple smooth curve.

引用

页码：433 / 450

页数：18

共 10 条

[1] On the structure of correlation functions in the normal matrix model [J].