Sufficient conditions for non-zero entropy and finite relations
Dynamical Systems
2022-10-06 v1
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.
Cite
@article{arxiv.2210.01880,
title = {Sufficient conditions for non-zero entropy and finite relations},
author = {Iztok Banic and Rene Gril Rogina and Judy Kennedy and Van Nall},
journal= {arXiv preprint arXiv:2210.01880},
year = {2022}
}