Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
Johannes Sjöstrand
Broschiertes Buch

Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations

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The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in anal...