Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators
谱理论
2007-05-23 v2 偏微分方程分析
摘要
We consider quite general -pseudodifferential operators on with small random perturbations and show that in the limit of small 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
@article{arxiv.math/0601381,
title = {Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators},
author = {Mildred Hager and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:math/0601381},
year = {2007}
}
备注
This version contains improvements of the presentation and small corrections, in particular that of the power of $h$ in the smallness condition on delta in the main results