Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds

Details Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds

2009-03-17

arxiv.org/abs/0903.2937v2

Mathematics

Spectral Theory

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Scientific paper

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.

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