On the weaker forms of the specification property and their applications
On the weaker forms of the specification property and their applications
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DOI：
10.1090/s0002-9939-09-09937-7
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发表时间：
2009-11
期刊：
影响因子：
--
通讯作者：
Kenichiro Yamamoto
中科院分区：
文献类型：
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作者：
Kenichiro Yamamoto
我们展示了以下两个结果，它们是从规范属性的弱形式导出的：首先，如果拓扑熵有限的紧度量阿贝尔群的自同构在 Haar 测度下是遍历的，那么它满足 2 级大偏差原理。其次，在扩张性和近似乘积性质下给出了周期轨道的拓扑压力公式。
We show the following two results, which are derived from the weaker forms of the specification property: Firstly, if an automorphism of a compact metric abelian group with finite topological entropy is ergodic under the Haar measure, then it satisfies the level 2 large deviation principle. Secondly, the topological pressure formula for periodic orbits is given under the expansiveness and the almost product property.