4 papers · 1 filter
Smooth spectral statistics of random perturbations of Schrödinger operators near Anosov energy levels
Julien Moy
We investigate the spectral statistics of random perturbations of semiclassical Schrödinger operators on compact manifolds, near energy levels corresponding to chaotic classical dy…
A long time Gutzwiller trace formula for perturbations of Schrödinger operators near Anosov energy levels
Julien Moy
Let be a semiclassical pseudodifferential operator on a closed Riemannian manifold , with principal symbol . We consider perturbations , with ,…
Spectral gap for Pollicott-Ruelle resonances on random coverings of Anosov surfaces
Julien Moy
Let be a closed Riemannian surface with Anosov geodesic flow. We prove the existence of a spectral gap for Pollicott--Ruelle resonances on random finite coverings of in…
On the spectral gap of negatively curved surface covers
Will Hide, Julien Moy, Frederic Naud
Given a negatively curved compact Riemannian surface , we give an explicit estimate, valid with high probability as the degree goes to infinity, of the first non-trivial eigenva…