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Positive Entropy Through Pointwise Dynamics

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arxiv 1805.07503 v2 pith:6AJ64AEG submitted 2018-05-19 math.DS

A. Arbieto , E. Rego This is my paper · ORCID
classification math.DS
keywords entropypointwisepositivetopologicalconditionsgivemapsapproximated
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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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  1. Stability Theorems in Pointwise Dynamics

    math.DS 2019-08 conditional novelty 6.0 of 10

    A point that is minimally expansive and shadowable is topologically stable and GH-stable; a point that is mu-uniformly expansive and mu-shadowable for a Borel measure is strong mu-topologically stable.

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