Rigidity of actions with extreme deviation from multiple mixing

DOI10.1134/S0001434618050346zbMath1404.37003OpenAlexW2810429185MaRDI QIDQ1668103

S. V. Tikhonov

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618050346

zbMATH Keywords

measure-preserving mapmixinggroup actionRokhlin problemsymmetric difference

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Discrete subgroups of Lie groups (22E40)

Related Items (2)

A violation of multiple mixing close to an extremal ⋮ Multiple mixing with respect to noncoinciding sets

Cites Work

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• Three results on mixing shapes
• The generic transformation can be embedded in a flow.
• On the asymmetry of multiple asymptotic properties of ergodic actions
• On the absence of multiple mixing and on the centralizer of measure-preserving actions
• A generic preserving-measure transformation has an extensive centralizer
• Embedding lattice actions in flows with multidimensional time
• Entropy geometry and disjointness for zero-dimensional algebraic actions
• Dynamical systems of algebraic origin

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