论文标题

非零熵和有限关系的足够条件

Sufficient conditions for non-zero entropy and finite relations

论文作者

Banic, Iztok, Rogina, Rene Gril, Kennedy, Judy, Nall, Van

论文摘要

我们介绍了在紧凑型公制空间上的封闭关系的回报,分散和良好的集合的概念,然后我们使用它们来获得非平凡的足够条件,以使这种关系具有非零熵。此外,我们从Li-Yorke和DC2-Chaos方面给出了有限关系与非零熵的表征。

We introduce the notions of returns, dispersions and well-aligned sets for closed relations on compact metric spaces and then we use them to obtain non-trivial sufficient conditions for such a relation to have non-zero entropy. In addition, we give a characterization of finite relations with non-zero entropy in terms of Li-Yorke and DC2-chaos.

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