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arXiv · 1512.03294

Mean proximality and mean Li-Yorke chaos

Felipe García-Ramos·Lei Jin
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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.

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Felipe García-Ramos, Lei Jin. 2015-12-10. Mean proximality and mean Li-Yorke chaos. https://doi.org/10.1090/proc%2F13404

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