Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators

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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.
This 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

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Spectral Theory, Analysis of PDEs, 35P20; 30D35

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http://salesiana.dossiersoluciones.com/handle/123456789/128343

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601381
 http://arxiv.org/abs/math/0601381

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arXiv