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Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators |
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| Authors: | Mildred Hager Johannes Sjöstrand |
| Affiliation: | (1) Department of Mathematics, University of California, Berkeley, CA 94720, USA;(2) CMLS, Ecole Polytechnique, 91120 Palaiseau cédex, France;(3) UMR7640-CNRS, Palaiseau cédex, France |
| Abstract: | 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. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 35P20 30D35 |
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