A Billingsley-type theorem for the pressure of an action of an amenable group
A Billingsley-type theorem for the pressure of an action of an amenable group
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DOI：
10.3934/dcds.2019040
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Xiaojun Huang;Y. Lian;C. Zhu
中科院分区：
文献类型：
--
作者：
Xiaojun Huang;Y. Lian;C. Zhu
本文将紧致度量空间上顺从群的连续作用的子集的Bowen拓扑熵的定义推广到Pesin-Pitskel拓扑压。引入了子集的局部测度理论压力，研究了紧度量空间任意子集上Borel概率测度的局部测度理论压力与Pesin-Pitskel拓扑压力之间的关系。
This paper extends the definition of Bowen topological entropy of subsets to Pesin-Pitskel topological pressure for the continuous action of amenable groups on a compact metric space. We introduce the local measure theoretic pressure of subsets and investigate the relation between local measure theoretic pressure of Borel probability measures and Pesin-Pitskel topological pressure on an arbitrary subset of a compact metric space.