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arXiv · 2210.01880

Sufficient conditions for non-zero entropy and finite relations

Iztok Banic·Rene Gril Rogina·Judy Kennedy·Van Nall
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Abstract

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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Iztok Banic, Rene Gril Rogina, Judy Kennedy, Van Nall. 2022-10-04. Sufficient conditions for non-zero entropy and finite relations. https://arxiv.org/abs/2210.01880

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