Thu, March 12, 2026
1:50 pm - 2:45 pm
Math Tower (MW) 154
Charles Bordenave
CNRS--Institut de Mathématiques de Marseille and IAS
Title
Cutoff for geodesic paths on hyperbolic manifolds
Abstract
This is based on a joint work with Joffrey Mathien. We establish new instances of the cutoff phenomenon for geodesic paths and for the Brownian motion on compact hyperbolic manifolds. We prove that for any fixed compact hyperbolic manifold, the geodesic path started on a spatially localized initial condition exhibits cutoff. Our work also extends results obtained by Golubev and Kamber on hyperbolic surfaces of large volume to any dimension. More generally, we will discuss ongoing works on the cutoff phenomenon in mixing dynamical systems.