Jun 2 – 4, 2021
Institut de Physique Théorique
Europe/Paris timezone

Delocalization of chaotic eigenmodes

Jun 2, 2021, 4:40 PM


S. Nonnenmacher


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.

Presentation materials