报告人:臧运涛(华东师范大学)

时间:2020/11/3(周二) 10:00-11:00

地点:纯水楼203

报告摘要: Consider a smooth diffeomorphism on a compact manifold. Ledrappier and Young introduced entropies along unstable foliations for an ergodic measure. We relate those entropies to covering numbers in order to give a new upper bound on the metric entropy in terms of Lyapunov exponents and topological entropy or volume growth of sub-manifolds.