Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

Details Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

2006-01-16

arxiv.org/abs/math/0601381v2

Mathematics

Spectral Theory

This version contains improvements of the presentation and small corrections, in particular that of the power of $h$ in the sm

Scientific paper

We consider quite general $h$-pseudodifferential operators on $R^n$ with
small random perturbations and show that in the limit of small $h$ 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.

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