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

William Bordeaux Montrieux; Johannes Sjoestrand

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arXiv · 0903.2937

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

William Bordeaux Montrieux·Johannes Sjoestrand

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Abstract

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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William Bordeaux Montrieux, Johannes Sjoestrand. 2009-03-18. Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds. https://arxiv.org/abs/0903.2937

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