On the absence of multiple mixing and on the centralizer of measure-preserving actions

DOI10.1134/S0001434615030384zbMath1381.37004MaRDI QIDQ2352620

S. V. Tikhonov

Publication date: 3 July 2015

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

zbMATH Keywords

topological groupmixingmeasure-preserving mapping

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05)

Related Items (4)

A violation of multiple mixing close to an extremal ⋮ Rigidity of actions with extreme deviation from multiple mixing ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Weakly homoclinic groups of ergodic actions

Cites Work

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• 2-fold and 3-fold mixing: why 3-dot-type counterexamples are impossible in one dimension
• Mixing of all orders and pairwise independent joinings of systems with singular spectrum
• Ledrappier’s system is almost mixing of all orders

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