Measure-theoretic chaos

DOI10.1017/etds.2012.117zbMath1288.37001arXiv1111.2420OpenAlexW3105117141MaRDI QIDQ5408731

Tomasz Downarowicz, Yves Lacroix

Publication date: 11 April 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2420

zbMATH Keywords

scrambled setstopological chaostopological entropyKolmogorov-Sinai entropyvariational principalinterval maps, ergodic measureLi-York pairs

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Related Items (7)

Dynamical systems generating large sets of probability distribution functions ⋮ Mean proximality and mean Li-Yorke chaos ⋮ Stable sets and mean Li-Yorke chaos in positive entropy systems ⋮ Reiterative distributional chaos in non-autonomous discrete systems ⋮ Li-Yorke chaos for ultragraph shift spaces ⋮ Ultragraph shift spaces and chaos ⋮ Iteration Problem for Distributional Chaos

Cites Work

• Topological entropy zero and asymptotic pairs
• Distributional chaos for triangular maps
• On some notions of chaos in dimension zero
• Period Three Implies Chaos

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