Slides (in english) :
Edge statistics in dimension 1.
Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line.
Universal asymptotic ergodicity of the unfolded eigenvalues and localization centers of random Hamiltonians in the localized regime.
Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential.
Gaussian exponential sums.
Decorrelation estimates for the eigenlevels of random operators in the localized regime.
Level, level spacings and localization centers statistics in the localized regime.
Non monotonous random Schrödinger operators.
Resonances for ``large'' ergodic systems.
Lifshitz tails for some random Schrödinger operators or an aspect of random walk in random traps.
Internal Lifshitz tails for the density of surface states of random operators.
Localization for random quantum graphs.
Lyapunov exponents and singular continuous spectrum.
The renormalization of exponential sums and cocycles.
Resonances for slowly varying perturbations of the periodic Schrödinger equation.
Resonant tunneling, level repulsion and spectral type for adiabatic quasi-periodic Schrödinger operators.
Quasi-periodic adiabatic Schrödinger operators - Interacting spectral bands.
The spectrum of periodic surfacic perturbations of the Schrödinger and Maxwell equations.
Complex tunneling and Lyapunov exponents for adiabatic quasi-periodic Schrödinger equation.
Internal Lifshitz tails for random Schrödinger operators.
A walk through the WKB theory for one dimensional adiabatic quasi-periodic Schrödinger operators.
Regularity properties for the density of states of random Schrödinger.