Ruelle resonances for geodesic flows on noncompact manifolds

Group Actions and Dynamics
Event time: 
Monday, November 29, 2021 - 10:15am
Sébastien Gouezel
Speaker affiliation: 
Univesité de Rennes 1
Event description: 

Ruelle resonances are complex numbers associated to a dynamical system that describe the precise asymptotics of the correlations for large times. It is well known that this notion makes sense for smooth uniformly hyperbolic dynamics on compact manifolds. In this talk, I will consider the case of the geodesic flow on some noncompact manifolds. In a class of such manifolds (called SPR), I will explain that one can define Ruelle resonances in a half-plane delimited by a critical exponent at infinity. Joint with Barbara Schapira and Samuel Tapie.