# Yuri Lima (Paris 11): Symbolic dynamics for non-uniformly hyperbolic systems with singularities

Symbolic dynamics is a tool that simplifies the study of dynamical systems in various aspects. It is known for almost fifty years that uniformly hyperbolic systems have good'' codings. For non-uniformly hyperbolic systems, Sarig constructed in 2013 good'' codings for surface diffeomorphisms. In this talk we will discuss some recent developments on Sarig's theory, when the map has discountinuities and/or critical points, such as multimodal maps of the interval and Bunimovich billiards.

## Date:

Tue, 29/05/2018 - 14:15 to 15:15

Ross 70