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arXiv · 1805.07503

Positive Entropy Through Pointwise Dynamics

A. Arbieto·E. Rego
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Abstract

We define some pointwise properties of topological dynamical systems and give pointwise conditions for such a system possesses positive topological entropy. We give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.

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A. Arbieto, E. Rego. 2018-05-19. Positive Entropy Through Pointwise Dynamics. https://doi.org/10.1090/proc/14682

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