Mean proximality and mean Li-Yorke chaos
Dynamical Systems
2019-11-05 v3
Abstract
We prove that if a topological dynamical system is mean sensitive and contains a mean proximal pair consisting of a transitive point and a periodic point, then it is mean Li-Yorke chaotic (DC2 chaotic). On the other hand we show that a system is mean proximal if and only if it is uniquely ergodic and the unique measure is supported on one point.
Keywords
Cite
@article{arxiv.1512.03294,
title = {Mean proximality and mean Li-Yorke chaos},
author = {Felipe García-Ramos and Lei Jin},
journal= {arXiv preprint arXiv:1512.03294},
year = {2019}
}
Comments
accepted on Proceedings of the American Mathematical Society