Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators
Abstract
We consider quite general h-pseudodifferential operators on Rn with small random perturbations and show that in the limit of small h the eigenvalues are distributed according to a Weyl law with a probabality that tends to 1. The first author has previously obtained a similar result in dimension 1. Our class of perturbations is different.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.