Exponential rate of periodic points and metric entropy in nonuniformly hyperbolic systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Liao, Gang¹  Sun, Wenxiang¹  Yang, Yun¹ 

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

关键词: Metric entropy;    Periodic points;    Weak shadowing property;   

DOI  :  10.1016/j.jmaa.2015.09.044

来源: Elsevier

【 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.

【 授权许可】

Free