Giovedì 10 aprile alle ore 16.30, Charles Bordenave (CNRS - Marseille) terrà il seminario Title: Cutoff for geodesic paths on hyperbolic manifolds Abstract: This is 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. Il seminario si svolgerà presso il Dipartimento di Matematica e Fisica di Roma Tre, Lungotevere Dante 376 - aula M1. -- Pietro Caputo Dipartimento di Matematica e Fisica via della vasca navale 84, 00146 Roma, Italy. www.mat.uniroma3.it/users/caputo