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math.SP2025
Improved bounds for eigenfunctions under random perturbations in negative curvature
Maxime Ingremeau, Martin Vogel
It has been known since the work of AvakumovÃc, Hörmander and Levitan that, on any compact smooth Riemannian manifold, if , then $\|Ï_λ\|_{L^\infty} \leq…
math.SP2024
Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit
Martin Vogel
The purpose of this note is to review some recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operator…