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	Exponential rate of periodic points and metric entropy in nonuniformly hyperbolic systems
	Liao, Gang ; Sun, Wenxiang ; Yang, Yun
	2016
关键词	Metric entropy Periodic points Weak shadowing property AXIOM-A-DIFFEOMORPHISMS INVARIANT-MEASURES ORBITS
英文摘要	For an ergodic hyperbolic measure omega of a C1+r diffeomorphism f there is an omega-full measured set (Lambda) over tilde such that for every invariant measure mu is an element of M-inv((Lambda) over tilde, f) the exponential growth rate of the number of periodic points whose atomic measures approximate mu equals to the metric entropy h(mu)(f). (C) 2015 Elsevier Inc. All rights reserved.; CPSF [2014M560007]; NSFC [11471344, 11231001]; SCI(E); ARTICLE; liaogang@math.pku.edu.cn; sunwx@math.pku.edu.cn; yangy85@pku.edu.cn; 2; 1253-1266; 434
语种	英语
出处	SCI
出版者	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438633]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liao, Gang,Sun, Wenxiang,Yang, Yun. Exponential rate of periodic points and metric entropy in nonuniformly hyperbolic systems. 2016-01-01.

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