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学术科研

Dynamical Systems Seminar

Rigidity of center Lyapunov exponents and su-integrability

演讲者：史逸（北京大学）
时间：2019-03-25 11:00-12:00
地点：慧园3栋 415报告厅

Abstract

Let f be a conservative partially hyperbolic diffeomorphism, which is homotopic to an Anosov automorphism A on T^3. We show that the stable and unstable bundles of f are jointly integrable if and only if every periodic point of f admits the same center Lyapunov exponent with A. In particular, f is Anosov. Thus every conservative partially hyperbolic diffeomorphism, which is homotopic to an Anosov automorphism on T^3, is ergodic. This proves the Ergodic Conjecture proposed by Hertz-Hertz-Ures on T^3. This is a joint work with Shaobo Gan.