EVENT DETAILS AND ABSTRACT

Title: Quantum ergodicity and subriemannian geometry
Speaker: Luc Hillairet
Speaker Info: University of Orléans
Brief Description:
Special Note:
Abstract:

Quantum ergodicity is related to how the eigenfunctions of a given operator concentrate as the eigenvalue grows. It is a celebrated result of Shnirelman, Zelditch, Colin de Verdière that it holds for the Riemannian Laplacian on a compact manifold provided that the geodesic flow is ergodic. We address this question in the subriemannian setting of a contact 3D structure. Several new steps have to be added to the usual proof to deal with the hypoelliptic nature of the corresponding Laplacian.

Joint work with Y. Colin de Verdière and E. Trélat.