| 自由半群的估计熵和△-弱混合集 |
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| 引用本文： | 钟兴富. 自由半群的估计熵和△-弱混合集[J]. 数学学报, 2019, 62(6): 889-902 |
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| 作者姓名： | 钟兴富 |
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| 作者单位： | 广东外语外贸大学数学与统计学院 广州 510006 |
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| 基金项目： | 国家自然科学基金资助项目（11771459，11701584）；广东外语外贸大学青年项目（18QN30） |
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| 摘 要： | 本文对自由半群作用的动力系统引入了估计熵和△-弱混合集的概念,得到一些性质.通过引入△-熊混沌集,给出了△-弱混合集的一个等价刻画.
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| 关 键 词： | 拓扑熵 估计熵 △-弱混合 |
Estimation Entropy and Δ-weakly Mixing Sets for Free Semigroup Actions |
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| Xing Fu ZHONG. Estimation Entropy and Δ-weakly Mixing Sets for Free Semigroup Actions[J]. Acta Mathematica Sinica, 2019, 62(6): 889-902 |
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| Authors: | Xing Fu ZHONG |
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| Affiliation: | School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, P. R. China |
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| Abstract: | We introduce the notion of estimation entropy for semigroup action systems and give some properties. Furthermore, we investigate the concept of Δ-weakly mixing sets for semigroup actions and give a characterisation of Δ-weakly mixing sets by Δ-Xiong chaotic sets. |
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| Keywords: | topological entropy estimation entropy Δ-weakly mixing set |
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