4 papers
An efficient Galerkin method for high-frequency scattering problems using Wilson bases
T. Chaumont-Frelet, M. Ingremeau, F. Proust
We propose a new Galerkin discretization scheme for wave scattering problems that is based on microlocalised basis functions. We show that the proposed method can be made uniformly…
Emergence of Gaussian fields in noisy quantum chaotic dynamics
Maxime Ingremeau, Martin Vogel
We study the long time Schrödinger evolution of Lagrangian states on a compact Riemannian manifold of negative sectional curvature. We consider two models of semicla…
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…
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
T. Chaumont-Frelet, V. Dolean, M. Ingremeau
We introduce new finite-dimensional spaces specifically designed to approximate the solutions to high-frequency Helmholtz problems with smooth variable coefficients in dimension $d…