Fluctuations of ergodic averages for amenable group actions

DOI10.4171/GGD/622zbMath1497.37008arXiv1902.07912WikidataQ114021503 ScholiaQ114021503MaRDI QIDQ2076064

Uri Gabor

Publication date: 18 February 2022

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

Full work available at URL: https://arxiv.org/abs/1902.07912

zbMATH Keywords

ergodic theoremsupcrossing inequalitiesamenable group actions

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

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• Fluctuations of ergodic averages
• Pointwise theorems for amenable groups.
• Fluctuations of ergodic averages for actions of groups of polynomial growth

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