Disjointness, divisibility, and quasi-simplicity of measure-preserving actions

DOI10.1007/s10688-006-0038-8zbMath1118.37007OpenAlexW2029091867MaRDI QIDQ883636

V. V. Ryzhikov, Jean-Paul Thouvenot

Publication date: 5 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10688-006-0038-8

zbMATH Keywords

Gaussian automorphismquasi-simple actionselfjoining

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (13)

On some generic classes of ergodic measure preserving transformations ⋮ On disjointness properties of some parabolic flows ⋮ A note on the isomorphism of Cartesian products of ergodic flows ⋮ Self-joinings and generic extensions of ergodic systems ⋮ Minimal self-joinings of infinite mixing actions of rank 1 ⋮ On simplicity concepts for ergodic actions ⋮ Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces ⋮ Multiple mixing for a class of conservative surface flows ⋮ Weakly homoclinic groups of ergodic actions ⋮ Joining primeness and disjointness from infinitely divisible systems ⋮ On embeddability of automorphisms into measurable flows from the point of view of self-joining properties ⋮ Measure-preserving rank one transformations ⋮ A class of mixing special flows over two-dimensional rotations

Cites Work

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• A canonical structure theorem for finite joining-rank maps
• Ergodic actions with generalized discrete spectrum
• Simple systems and their higher order self-joinings
• Rigidity of horocycle flows
• Around simple dynamical systems. Induced joinings and multiple mixing
• Intertwinings of tensor products, and the stochastic centralizer of dynamical systems
• Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot

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