A note on two types of Lyapunov exponents and entropies for Zk-actions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Zhu, Yujun¹ 

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

关键词: Z(k)-action;    Random Lyapunov exponent;    Directional Lyapunov exponent;    Random entropy;    Directional entropy;   

DOI  :  10.1016/j.jmaa.2017.12.067

来源: Elsevier

【 摘 要 】

In this paper, two types of Lyapunov exponents: random Lyapunov exponents and directional Lyapunov exponents, and the corresponding entropies: random entropy and directional entropy, are considered for smooth Z(k)-actions. The close relation among these quantities are investigated and the formulas of them are given via the Lyapunov exponents of the generators. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free