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

2008/02/25 by Sjoestrand, Johannes
#30Axx #35P05 #35P20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.0802.3584

Abstract

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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• Local eigenvalue statistics of one-dimensional random non-selfadjoint\n pseudo-differential operators