We study the long time Schr\" odinger evolution of Lagrangian states $ f_h $ on a compact
Riemannian manifold $(X, g) $ of negative sectional curvature. We consider two models of …

It has been known since the work of Avakumov\'ic, H\" ormander and Levitan that, on any
compact smooth Riemannian manifold, if $-\Delta_g\psi_\lambda=\lambda\psi_\lambda …

We consider the semiclassical Schrödinger equation on a compact negatively curved
surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we …

Disordered semiclassical pseudo-differential operators: Spectral asymptotics, statistics and
eigenvector (de-)localization Page 1 HAL Id: tel-04614860 https://theses.hal.science/tel-04614860v1 …

We consider perturbations of the semiclassical Schrödinger equation on a compact
Riemannian surface with constant negative curvature and without boundary. We show that …

We investigate the high-energy limits of the moments of Eisenstein series, when these
functions are considered as real random variables over a compact subset of a convex co …

The quantum Loschmidt echo is a measurement of the sensitivity of a quantum system to
perturbations of the Hamiltonian. In the case of the standard two-torus, we derive some …

Ce mémoire d'habilitation traite de problèmes à l'interface de la théorie des systèmes
dynamiques, de la théorie spectrale et de l'analyse microlocale avec en toile de fond des …