Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations

2008/09/24 by Johannes Sjoestrand, Sjoestrand, Johannes
Mathematics · #Spectral Theory in Mathematical Physics #Random Matrices and Applications #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0809.4182

Abstract

In this work we extend a previous work about the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint differential operators with small multiplicative random perturbations, by treating the case of operators on compact manifolds

Related

• Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations
• Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds
• Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators
• Spectral properties of non-self-adjoint operators
• Eigenvalue distributions and Weyl laws for semi-classical non-self-adjoint operators in 2 dimensions