Unique Ergodicity for Zero-entropy Dynamical Systems with the Approximate Product Property
查看参考文献30篇
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文摘
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We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is also proved under a slightly stronger condition. Moreover, we show that unique ergodicity implies the approximate product property if the system has periodic points. |
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来源
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Acta Mathematica Sinica. English Series
,2021,37(2):362-376 【核心库】
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DOI
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10.1007/s10114-020-9377-2
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关键词
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Approximate product property
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unique ergodicity
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topological entropy
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ergodic measure
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minimality
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specification
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gluing orbit
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interval map
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periodic points
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地址
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China Economics and Management Academy, Central University of Finance and Economics, Beijing, 100081
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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基金
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国家自然科学基金
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CUFE Young Elite Teacher Project
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文献收藏号
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CSCD:6980040
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参考文献 共
30
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