Distal strongly ergodic actions

DOI10.4171/GGD/650zbMath1503.37025arXiv1803.01844WikidataQ114021501 ScholiaQ114021501MaRDI QIDQ2141715

Benjamin Weiss, Shmuel Glasner

Publication date: 25 May 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01844

zbMATH Keywords

spectral gapstrong ergodicitydistal action

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

• Unnamed Item
• Affine linear sieve, expanders, and sum-product
• Property T and asymptotically invariant sequences
• Random walks on compact groups and the existence of cocycles
• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• An amenable equivalence relation is generated by a single transformation
• The complexity of the collection of measure-distal transformations
• A model-theoretic approach to rigidity of strongly ergodic, distal actions