Under- and over-independence in measure preserving systems

DOI10.1007/S11856-020-1960-9zbMath1439.37003arXiv1807.02966OpenAlexW3000687614WikidataQ126332185 ScholiaQ126332185MaRDI QIDQ2303693

Terry Adams, Wenbo Sun, Vitaly Bergelson

Publication date: 4 March 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02966

zbMATH Keywords

ergodic measure-preserving actionsweakly mixing actions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

• Entropy and isomorphism theorems for actions of amenable groups
• Under-recurrence in the Khintchine recurrence theorem
• Measurable sets of measures
• Weak mixing implies weak mixing of higher orders along tempered functions
• Weakly mixing PET
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
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