Dynamical parallelepipeds in minimal systems

DOI10.1007/S10884-013-9313-6zbMath1278.37016OpenAlexW2051260572MaRDI QIDQ376315

Xiang Dong Ye, Si Ming Tu

Publication date: 4 November 2013

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-013-9313-6

zbMATH Keywords

minimal systemsnilsystemsregionally proximal relation

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Ergodic theory (37A99)

Related Items (5)

Higher order regionally proximal equivalence relations for general minimal group actions ⋮ On the structure theory of cubespace fibrations ⋮ Dynamical cubes and a criteria for systems having product extensions ⋮ Directional dynamical cubes for minimal -systems ⋮ Infinite sumsets in sets with positive density

Cites Work

• Unnamed Item
• Regionally proximal relation of order \(d\) is an equivalence one for minimal systems and a combinatorial consequence
• Nilsequences and a structure theorem for topological dynamical systems
• Proximal-isometric (\(\mathcal P\mathfrak F\)) flows
• Complexity of nilsystems and systems lacking nilfactors
• A local variational relation and applications
• Independence in topological and \(C^*\)-dynamics
• Nonconventional ergodic averages and nilmanifolds
• Parallelepipeds, nilpotent groups and Gowers norms
• Null systems and sequence entropy pairs
• Quasi-Factors of Zero Entropy Systems
• Infinite-step nilsystems, independence and complexity
• A new proof of Szemerédi's theorem

This page was built for publication: Dynamical parallelepipeds in minimal systems