Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity

DOI10.1090/proc/14435zbMath1417.37061arXiv1905.08104OpenAlexW2899911607MaRDI QIDQ5377074

Xiaomin Zhou, Kairan Liu

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08104

zbMATH Keywords

sensitivitymeasurable sensitivityalmost finite-to-one extension

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Measure-theoretic ergodic theory (28D99)

Related Items (4)

\( \mathscr{F} \)-equicontinuity and an analogue of Auslander-Yorke dichotomy theorem ⋮ Equicontinuity and sensitivity of group actions ⋮ Measurable \(n\)-sensitivity and maximal pattern entropy ⋮ Stronger versions of sensitivity for minimal group actions

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