Minimal self-joinings for nonsingular transformations

DOI10.1017/S0143385700005320zbMath0677.28008OpenAlexW2159658672MaRDI QIDQ3832808

Daniel J. Rudolph, Cesar E. Silva

Publication date: 1989

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700005320

zbMATH Keywords

nonsingular transformationsminimal self-joiningsconservative nonsingular actionsrational joiningstype II(sub 1) actionstype III sub(lambda) nonsingular joinings

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Mixing properties of Markov operators and ergodic transformations, and ergodicity of Cartesian products
• On transformations without finite invariant measure
• Invariant measures and orbits of dissipative transformations
• Approximately Transitive Diffeomorphisms of the Circle
• L _∞ Eigenvalues and L ₂ Spectra of Non-Singular Transformations
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• An Ergodic Theorem