# Reza Mohammadpour: SRB measures for partially hyperbolic systems

**Time: **
Thu 2023-01-26 14.00 - 15.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
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.