Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds. (English) Zbl 1228.47046

In the very interesting paper under review, the authors consider elliptic differential operators on compact manifolds with a random perturbation in the \(0\)-th order term. They show, under fairly weak additional assumptions, that the large eigenvalues almost surely distribute according to the Weyl law, well-known in the selfadjoint case.


47F05 General theory of partial differential operators
35P20 Asymptotic distributions of eigenvalues in context of PDEs
58J05 Elliptic equations on manifolds, general theory
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