Strictly ergodic models under face and parallelepiped group actions

DOI10.1007/s40304-017-0102-0zbMath1385.37004OpenAlexW2596437707MaRDI QIDQ2401497

Wen Huang, Xiang Dong Ye, Song Shao

Publication date: 1 September 2017

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-017-0102-0

zbMATH Keywords

ergodic averageface transformation

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (7)

Some open problems on multiple ergodic averages ⋮ Pointwise convergence of some multiple ergodic averages ⋮ Maximal pronilfactors and a topological Wiener-Wintner theorem ⋮ Pointwise multiple averages for sublinear functions ⋮ Almost sure convergence of the multiple ergodic average for certain weakly mixing systems ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Pointwise convergence of multiple ergodic averages and strictly ergodic models

Cites Work

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• 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
• Pointwise convergence of ergodic averages along cubes
• Uniformity seminorms on \(\ell^{\infty}\) and applications
• Topological mixing and uniquely ergodic systems
• On almost 1-1 extensions
• Pointwise theorems for amenable groups.
• Pointwise convergence of multiple ergodic averages and strictly ergodic models
• Nonconventional ergodic averages and nilmanifolds
• Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations
• Universal characteristic factors and Furstenberg averages
• Strictly ergodic, uniform positive entropy models
• Strictly ergodic models for dynamical systems
• Nil Bohr-sets and almost automorphy of higher order

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