Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

dc.creatorHager, Mildred
dc.creatorSjoestrand, Johannes
dc.date2006-01-16
dc.date2007-05-04
dc.date.accessioned2026-07-07T07:59:22Z
dc.date.available2026-07-07T07:59:22Z
dc.descriptionWe 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.
dc.descriptionThis version contains improvements of the presentation and small corrections, in particular that of the power of $h$ in the smallness condition on delta in the main results
dc.identifierhttps://arxiv.org/abs/math/0601381
dc.identifierhttp://arxiv.org/abs/math/0601381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128343
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35P20; 30D35
dc.titleEigenvalue asymptotics for randomly perturbed non-selfadjoint operators
dc.typetext

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