Viviane Baladi: Analytical tools for dynamics with singularities, including Sinai billiards

Tid: On 2017-11-29 kl 15.15 - 16.15

Föreläsare: Viviane Baladi, Institut de Mathématiques de Jussieu - Paris Rive Gauche, France

Plats: Oskar Klein, Albanova

Schedule

14:00-15:00 Precolloquium (Room FB55, AlbaNova)

15:15-16:15 Colloquium lecture by Viviane Baladi (Room Oskar Klein, AlbaNova)

16:15-17:00 SMC social get together with refreshments 

Abstract

In the past 15 years, tools from analysis, in particular new Banach spaces of anisotropic distributions on manifolds, have allowed substantial progress in dynamical systems.

After briefly explaining how a spectral gap for a transfer operator furnishes ergodic information, I shall focus on Sinai billiards maps and flows. These natural but technically challenging systems are uniformly hyperbolic and volume preserving - however grazing orbits give rise to singularities. New analytic tools allowed us (with M. Demers and C. Liverani) to obtain exponential mixing for the natural volume and finite horizon Sinai billiard flows. More recently (with M. Demers), we constructed the measure of maximal entropy for the billiard map. I will try to compare the two results (without entering in too much technical details!).

Kollokvier 2017

Titel Datum
Viviane Baladi: Analytical tools for dynamics with singularities, including Sinai billiards 1511964900000 2017‑11‑29
Gerard van der Geer 1506518100000 2017‑09‑27
János Pach 1496841300000 2017‑06‑07
Alicia Dickenstein 1491397200000 2017‑04‑05
Arno Kuijlaars: Universality in random matrix theory 1488009480000 2017‑02‑25
Till sidans topp