Density theorems for exceptional eigenvalues of the Laplacian for congruence groups
Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique
Développements asymptotiques pour des perturbations fortes de l'opérateur de Schrödinger périodique
Discrete spectrum of the periodic elliptic operator with a differential perturbation
Distribution des résonances et décroissance de l’énergie locale pour le problème de transmission
Distribution laws for integrable eigenfunctions
We determine the asymptotics of the joint eigenfunctions of the torus action on a toric Kähler variety. Such varieties are models of completely integrable systems in complex geometry. We first determine the pointwise asymptotics of the eigenfunctions, which show that they behave like Gaussians centered at the corresponding classical torus. We then show that there is a universal Gaussian scaling limit of the distribution function near its center. We also determine the limit...
Distribution of resonances for convex co-compact hyperbolic surfaces
Distributional asymptotic expansions of spectral functions and of the associated Green kernels.