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Research

Dynamical Systems Seminar

Cohomology of Dynamical Systems

Speaker: Yi Shi (Peking University)
Time: Mar 16, 2022, 20:00-21:00
Location: Zoom ID 848 3567 7678, Passcode 282456

About the seminar series:

As part of a collaborative project with Iran funded by the NNSFC we will have seminar talks (BeST for Beijing-Shenzhen-Tehran) which we expect to have a monthly frequency. This project involves SUSTech and PKU researchers from the Chinese side.

Abstract:

Let f be an irreducible non-invertible Anosov maps on d-torus. If the stable bundle is one dimensional, we show that f has integrable unstable bundle, if and only if, every periodic point of f admits the same stable Lyapunov exponents. For higher dimensional stable bundle, we prove the same result for perturbations of non-invertible linear Anosov maps with real simple spectrum.