Sub-additive Topological and Measure-theoretic Tail Pressures

In this paper, we give some definitions of the topological tail pressures for sub-additive potentials and prove that they are equivalent if the potentials are continuous. Under some assumptions, we get a variational principle which exhibits the relationship between topological tail pressure and meas...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2017-12, Vol.33 (12), p.1617-1631
Main Authors: Peng, Jing Lan, Zhou, Yun Hua
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematics
Mathematics and Statistics
Topology
加性
压力
变分原理
定义
拓扑
测度理论
熵
等价
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Summary:In this paper, we give some definitions of the topological tail pressures for sub-additive potentials and prove that they are equivalent if the potentials are continuous. Under some assumptions, we get a variational principle which exhibits the relationship between topological tail pressure and measure-theoretic tail entropy. Finally, we define a new measure-theoretic tail pressure for sub-additive potentials and some interesting properties of it are obtained.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-017-6594-4