Positive entropy through pointwise dynamics

Arbieto, A.; Rego, E.

doi:10.1090/proc/14682

Positive entropy through pointwise dynamics
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by A. Arbieto and E. Rego PDF

Proc. Amer. Math. Soc. 148 (2020), 263-271 Request permission

Abstract:

We define some pointwise properties of topological dynamical systems and give pointwise conditions to guarantee the positiveness of the topological entropy of such a system. We also 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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