An algebraic property of joinings

DOI10.1090/S0002-9939-03-06893-XzbMath1028.28014OpenAlexW1529555896MaRDI QIDQ4794569

Young-Ho Ahn, Mariusz Lemanczyk

Publication date: 19 February 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06893-x

zbMATH Keywords

joiningsergodic self-joiningsrelative weak mixingsemisimple automorphismcompact extensionscompositions of joiningsrelatively independent products

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Cites Work

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• An example of a measure preserving map with minimal self-joinings, and applications
• A criterion for a process to be prime
• Extensions of ergodic group actions
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Relative discrete spectrum and joinings

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