Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

被引：20

作者：

Hager, Mildred ^{[3
]}

Sjoestrand, Johannes ^{[1
,2
]}

机构：

[1] Ecole Polytech, CMLS, F-91120 Palaiseau, France

[2] Ecole Polytech, CNRS, UMR7640, F-91128 Palaiseau, France

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

MATHEMATISCHE ANNALEN | 2008年 / 342卷 / 01期

关键词：

D O I：

10.1007/s00208-008-0230-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider quite general h-pseudodifferential operators on R-n with small random perturbations and show that in the limit h -> 0 the eigenvalues are distributed according to a Weyl law with a probabality that tends to 1. The first author has previously obtained a similar result in dimension 1. Our class of perturbations is different.

引用

页码：177 / 243

页数：67

共 11 条

[1] Semi-classical analysis and pseudo-spectra [J].