Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

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.