Orateur
S. Nonnenmacher
Description
In this talk I will review different mathematical results on the
delocalization of eigenmodes of the Laplacian in closed billiards or compact Riemannian manifolds, assuming the geometry generates a chaotic ray (geodesic) dynamics.
The focus will be on the high frequency regime, where semiclassical / microlocal methods can be applied. In particular I will recall the Quantum Ergodicity Theorem, which concerns "almost all" the eigenmodes, and also give more recent "absolute" delocalization results, especially valid in the case of strongly chaotic (Anosov) flows.
