Recurrence properties and disjointness on the induced spaces
Recurrence properties and disjointness on the induced spaces
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DOI：
10.3934/dcds.2015.35.1059
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发表时间：
2013-12
影响因子：
1.1
通讯作者：
Jie-lin Li;Ke-song Yan;X. Ye
中科院分区：
文献类型：
--
作者：
Jie-lin Li;Ke-song Yan;X. Ye
一个拓扑动力系统包含两个自然系统，一个在超空间上，另一个在概率测度空间上。研究了原空间和诱导空间上的动力学性质之间的联系。特别地，构造了一个极小弱混合系统，它在概率测度空间上诱导出一个P-系统，并得到了一些不相交性结果。
A topological dynamical system induces two natural systems, one is on the hyperspace and the other one is on the probability measures space. The connection among some dynamical properties on the original space and on the induced spaces are investigated. Particularly, a minimal weakly mixing system which induces a $P$-system on the probability measures space is constructed and some disjointness result is obtained.