Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

By Mildred Hager, J. Sjöstrand. 2006

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We consider quite general h-pseudodifferential operators on Rn 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.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/b500394b6e63332b909b33fd107209dafbe24304