Topological pressure of historic set for Z^d-actions

Topological pressure of historic set for Z^d-actions
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DOI:
10.1016/j.jmaa.2011.11.066
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发表时间:
2012-05
影响因子:
1.3
通讯作者:
Xiaoyao Zhou;Ercai Chen
Xiaoyao Zhou;Ercai Chen
中科院分区:
数学3区
文献类型:
--
作者:
Xiaoyao Zhou;Ercai Chen

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证明了如果紧度量空间的连续Zd-或Z+ d-作用具有几乎乘积性质,则历史集的拓扑压可以等于整个空间的拓扑压.
We show that, if a continuous Zd- or Z+d-action of a compact metric space has the almost product property, the topological pressure of historic set can be equal to that of the whole space.