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Reza Mohammadpour: SRB measures for partially hyperbolic systems

Tid: To 2023-01-26 kl 14.00 - 15.00

Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Videolänk: Meeting ID: 921 756 1880

Medverkande: Reza Mohammadpour - Uppsala University

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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.