Quantum chaos, semiclassical limit of quantum mechanics. Dissipation and decoherence.
Most of my research deals with the dynamics generated by chaotic maps or flows, together with their quantizations.
Lectures on Spectral theory of damped quantum chaotic systems I gave in June 2011.
Lectures on the Theory of dynamical systems I gave in 2009.
I am currently editor of Nonlinearity and Annales Henri Poincaré.
I am co-coordinator of the Groupe De Recherche (Research group) Quantum Dynamics, and member of the research project Spectral Geometry, Graphs and Semiclassics (GeRaSic) funded by the Agence National de la Recherche.