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Sjöstrand, Johannes

Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. (English) Zbl 1194.47058

Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 4, 739-795 (2009).
From the abstract: In this work, we continue the study of the Weyl asymptotics of the distribution of eigenvalues of non-selfadjoint (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.
Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy)

Cited in 1 Review
Cited in 13 Documents

MSC:

47G30 Pseudodifferential operators
35S30 Fourier integral operators applied to PDEs

Keywords:

eigenvalue distribution; multiplicative random perturbations; Weyl asymptotics; non-selfadjoint pseudodifferential operators
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\textit{J. Sjöstrand}, Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 4, 739--795 (2009; Zbl 1194.47058)
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