An uncountable ergodic Roth theorem and applications

DOI10.3934/dcds.2022111OpenAlexW3169820778MaRDI QIDQ2676623

Rachel Greenfeld, Asgar Jamneshan, Polona Durcik, Annina Iseli, J. A. Jiménez Madrid

Publication date: 28 September 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00685

zbMATH Keywords

amenable groupsFurstenberg correspondence principleergodic Ramsey theorysyndetic setsergodic Roth theoremuncountable ergodic theoryuniformity in recurrence

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Ramsey theory (05D10) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (2)

Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration ⋮ A category-theoretic proof of the ergodic decomposition theorem

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