9 citations · 29 across the 15 of their papers we have counts for
4 papers · 1 filter
Local Weak Limits of Laplace Eigenfunctions
Maxime Ingremeau
In this paper, we introduce a new notion of convergence for the Laplace eigenfunctions in the semiclassical limit, the local weak convergence. This allows us to give a rigorous sta…
Semiclassical limits of distorted plane waves in chaotic scattering without a pressure condition
Maxime Ingremeau
In this paper, we study the semi-classical behavior of distorted plane waves, on manifolds that are Euclidean near infinity or hyperbolic near infinity, and of non-positive curvatu…
Sharp resolvent bounds and resonance-free regions
Maxime Ingremeau
In this note, we consider semiclassical scattering on a manifold which is Euclidean near infinity or asymptotically hyperbolic. We show that, if the cut-off resolvent satisfies pol…
Equidistribution of Phase Shifts in Obstacle Scattering
Jesse Gell-Redman, Maxime Ingremeau
For scattering off a smooth, strictly convex obstacle with positive curvature, we show that the eigenvalues of the scattering matrix -- the phase shifts --…