系列短课(11.1-11.8):胡虎翼:Introduction to smooth ergodic theory
系列短课:Introduction to smooth ergodic theory
授课人:胡虎翼教授 (Michigan State University)
时间: lecture 1 - 2023年11月1日 10:00-11:30
lecture 2 - 2023年11月2日 10:00-11:30
lecture 3 - 2023年11月6日 10:00-11:30
lecture 4 - 2023年11月8日 10:00-11:30
地点: 纯水楼301
摘要: In the lectures we start with brief review what we talked about. This includes Lyapunov exponents, Pesin Sets, Lyapunov charts, and theorem of stable manifold theorem. Then we introduce distortion estimates, absolute continuity of stable foliation, Ruelle’s entropy inequality, Pesin entropy formula, and properties of SRB. We may discuss almost Anosov diffeomorphisms, the simplest nonuniformly hyperbolic diffeomorphisms.
邀请人:陈剑宇