Probabilistic mixing for the geodesic flow on hyperbolic varieties
Joffrey Mathien
I2M, AMU, CNRS
Date(s) : 04/12/2024 iCal
10h30 - 12h00
For an ergodic dynamical system, the cutoff describes an abrupt transition to equilibrium. Historically introduced by Diaconis, Shahshahani and Aldous for card shuffling and other random walks on finite groups, there are now numerous examples of Markov chains and Markov processes where the cutoff has been established.
In this talk, we try to introduce progressively and study cutoff for geodesic paths on compact hyperbolic manifolds, and we develop a spectral strategy introduced by Lubetzky and Peres in 2016 for Ramanujan graphs and further developed in different geometric contexts. (j.w. with C. Bordenave).
Emplacement
Saint-Charles - FRUMAM (2ème étage)
Catégories
