Multi-transitivity and Delta-transitivity for semigroup actions

Multi-transitivity and Delta-transitivity for semigroup actions
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半群动作的多重传递性和 Delta 传递性

DOI:
10.1016/j.topol.2017.04.030
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发表时间:
2017
影响因子:
0.6
通讯作者:
Zeng Tiaoying
Zeng Tiaoying
中科院分区:
数学4区
文献类型:
--
作者:
Zeng Tiaoying

文献摘要

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本文研究了半群作用的多重传递性和Δ-传递性,给出了它们的几个刻画,推广了文献中的相关结果.我们还研究了Δ-混合,并证明了在一定条件下,动力系统是Δ-传递的当且仅当它是关于厚集的Δ-混合。
In this paper, we study multi-transitivity and Δ-transitivity for semigroup actions and give several characterizations of them, which generalize related results in the literature. We also study Δ-mixing and show that under some conditions a dynamical system is Δ-transitive if and only if it is Δ-mixing with respect to a thick set.