*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.*