Sensitivity, proximal extension and higher order almost automorphy

DOI10.1090/tran/7100zbMath1386.37012arXiv1605.01119OpenAlexW2963526099MaRDI QIDQ4604422

Tao Yu, Xiang Dong Ye

Publication date: 26 February 2018

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

Full work available at URL: https://arxiv.org/abs/1605.01119

zbMATH Keywords

sensitivityminimalityinfinite step nilfactordistal factor

Mathematics Subject Classification ID

Related Items (22)

Time-restricted sensitivity and entropy for random dynamical systems ⋮ Broken family sensitivity in transitive systems ⋮ Independence and almost automorphy of higher order ⋮ On \(n\)-tuplewise IP-sensitivity and thick sensitivity ⋮ On sensitive sets and regionally proximal sets of group actions ⋮ Stronger version sensitivity, almost finite to one extension and maximal pattern entropy ⋮ Furstenberg families, sensitivity and the space of probability measures ⋮ On topological models of zero entropy loosely Bernoulli systems ⋮ Characterizations of distality via weak equicontinuity ⋮ The complexity of an induced system of \(\mathbb{Z}^2\)-actions ⋮ Relativization of sensitivity in minimal systems ⋮ Asymptotically almost periodic points and sensitivity of continuous maps ⋮ Measurable \(n\)-sensitivity and maximal pattern entropy ⋮ Sensitive group actions on regular curves of almost \(\leq n\) order ⋮ Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity ⋮ Analogues of Auslander–Yorke theorems for multi-sensitivity ⋮ Dynamical compactness and sensitivity ⋮ Time-restricted sensitivity and entropy ⋮ Stronger versions of sensitivity for minimal group actions ⋮ Rendezvous with sensitivity ⋮ On the transitivity and sensitivity of group actions ⋮ Restricted sensitivity, return time and entropy in Feldman–Katok and mean metrics

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