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

Johannes Sjöstrand (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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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