Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds
William Bordeaux Montrieux, Johannes Sjöstrand (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper, we consider elliptic differential operators on compact manifolds with a random perturbation in the 0th order term and show under fairly weak additional assumptions that the large eigenvalues almost surely distribute according to the Weyl law, well-known in the self-adjoint case.