Loi de Weyl presque sure pour un systeme differentiel en dimension 1
Spectral Theory
2011-02-15 v2
Abstract
We consider quite general differential operators on the circle with a small random lower order perturbation. We embrace two points a view, the semiclassical and the high energy limits. We show (a) in the semiclassical limit, that the eigenvalues inside a subdomain of the pseudospectrum are distributed according to a Weyl law with a probability close to 1, (b) that the large eigenvalues obey a Weyl law almost surely.
Cite
@article{arxiv.0903.0846,
title = {Loi de Weyl presque sure pour un systeme differentiel en dimension 1},
author = {William Bordeaux Montrieux},
journal= {arXiv preprint arXiv:0903.0846},
year = {2011}
}
Comments
Revised version