Distrubution of periodic points and invariant measures in nonuniformly hyperbolic systems
报告人： 廖刚（北京大学）
题目： Distrubution of periodic points and invariant measures in nonuniformly hyperbolic systems
报告时间： 2015年12月17日下午16:00-17:00
报告地点： 维格堂113
摘要：We analyze the distrubution of periodic points nearby an invariant measure μ of a nonuniformly hyperbolic system. The exponential growth rate of the number of periodic points whose atomic measures approximate μ equals to the metric entropy of μ. Moreover, if μ is ergodic, the Oseledets splitting, Lyapunov exponents, mean angle and independence number of μ are also approximated by those of atomic measures on periodic orbits.