Syndetic proximality and scrambled sets

zbMath1327.37006arXiv1108.1280MaRDI QIDQ378478

Piotr Oprocha, T. K. Subrahmonia Moothathu

Publication date: 11 November 2013

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1280

zbMATH Keywords

entropysymbolic dynamicstransitivityinterval mapsLi-Yorke chaosscrambled setsubshiftproximal relationsyndetically proximal pair

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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On entropy of dynamical systems with almost specification ⋮ The proximal relation, regionally proximal relation and Banach proximal relation for amenable group actions ⋮ On proximality with Banach density one ⋮ Proximality and pure point spectrum for tiling dynamical systems ⋮ Mixing coded systems ⋮ Recent development of chaos theory in topological dynamics

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