Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations

Details Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations

2008-02-25

arxiv.org/abs/0802.3584v3

Mathematics

Spectral Theory

Correction of a small error in Section 8

Scientific paper

In this work we continue the study of the Weyl asymptotics of the
distribution of eigenvalues of non-self-adjoint (pseudo)differential operators
with small random perturbations, by treating the case of multiplicative
perturbations in arbitrary dimension. We were led to quite essential
improvements of many of the probabilistic aspects.

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