微分动力系统学术报告
报告题目: Entropies and volume growth of unstable manifolds
报告人：臧运涛（华东师范大学）
时间🔽： 2021-07-09 16:30-17:10
地点： 沙河校区🧑🏻✈️，E404
摘要： Let $f$ be a $C^2$ diffeomorphism on a compact manifold. Ledrappier and Young introduced entropies along unstable foliations for an ergodic measure $\mu$. We relate those entropies to covering numbers in order to give a new upper bound on the metric entropy of $\mu$ in terms of Lyapunov exponents and topological entropy or volume growth of sub-manifolds. We also discuss extensions to the $C^{1+\alpha},\alpha>0$ case.
邀请人：文晓👱🏽、张金华
