Reza Mohammadpour: SRB measures for partially hyperbolic systems

Date: 2023-01-26

Time: 14:00 - 15:00

Zoom link: https://kva-se.zoom.us/j/9217561880

Speaker

Reza Mohammadpour, Uppsala University

Abstract

In this talk, I will show that the positive Lyapunov exponents imply non-uniformly expanding for partially hyperbolic systems under a certain assumption. As a result, I will show that there exists a physical SRB measure for a $C^{1+alpha}$ diffeomorphism map $f$ that admits a dominated splitting under assumptions that $f$ has non-zero Lyapunov exponents for Lebesgue at almost every point.