Multiple ergodic theorems

DOI10.1007/BF02796117zbMath0653.28010OpenAlexW2086880145MaRDI QIDQ1107655

Daniel Berend

Publication date: 1988

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02796117

zbMATH Keywords

ergodic theoremmeasure-preserving transformationscommuting transformationsasymptotic behaviour of ergodic averagescommuting epimorphisms of compact Abelian groupsjoint ergodicity

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items

Some open problems on multiple ergodic averages ⋮ Joint ergodicity of actions of an abelian group

Cites Work

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• Jointly ergodic measure-preserving transformations
• Joint ergodicity and mixing
• Characterization of joint ergodicity for non-commuting transformations
• Parallelepipeds in sets of integers
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Théorèmes ergodiques pour des mesures diagonales