Self-joinings and generic extensions of ergodic systems

DOI10.1134/s0016266323030048arXiv2210.15276OpenAlexW4392683173MaRDI QIDQ6195843

V. V. Ryzhikov

Publication date: 14 March 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.15276

zbMATH Keywords

generic extensions of actionslocal rigidity of cocyclespairwise independent joiningsrelative multiple mixing

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Cites Work

• Unnamed Item
• Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles
• Disjointness, divisibility, and quasi-simplicity of measure-preserving actions
• Even and odd primality of dynamical systems with invariant measure
• Polymorphisms, joinings, and the tensor simplicity of dynamical systems
• Relative weak mixing is generic
• Ergodic properties where order 4 implies infinite order
• Polymorphisms, Markov processes, and quasi-similarity
• Intertwinings of tensor products, and the stochastic centralizer of dynamical systems
• Rokhlin extensions and lifting disjointness
• Multiple mixing for a class of conservative surface flows

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