Modul: MAT760 Ergodic theory and dynamical systems seminar

## Non-conical strictly convex divisible sets are maximally anisotropic

Talk by Prof. Dr. Carlos Matheus Silva Santos

**Date:** 10.04.24 **Time:** 13.30 - 14.30 **Room:** ETH HG G 19.1

Let U be a non-conical strictly convex divisible set. Even though the boundary S of U is not C^2, Benoist showed that S is C^1+ and Crampon established that S has a sort of anisotropic Holder regularity -- described by a list L of real numbers -- at almost all of its points. In this talk, we discuss our joint work with P. Foulon and P. Hubert showing that S is maximally anisotropic in the sense that the list L contains no repetitions thanks to the features of the Hilbert flow. ''