自由半群的估计熵和Δ-弱混合集

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自由半群的估计熵和Δ-弱混合集钟兴富广东外语外贸大学数学与统计学院广州 510006 Estimation Entropy and Δ-weakly Mixing Sets for Free Semigroup Actions Xing Fu ZHONGSchool of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, P. R. China

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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Δ-弱混合集的概念，得到一些性质.通过引入Δ-熊混沌集，给出了Δ-弱混合集的一个等价刻画.

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收稿日期: 2019-01-02

MR (2010):

O193

基金资助: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）

作者简介: 钟兴富,E-mail:xfzhong@gdufs.edu.cn

引用本文:

钟兴富. 自由半群的估计熵和Δ-弱混合集[J]. 数学学报, 2019, 62(6): 889-902. Xing Fu ZHONG. Estimation Entropy and Δ-weakly Mixing Sets for Free Semigroup Actions. Acta Mathematica Sinica, Chinese Series, 2019, 62(6): 889-902.

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