Rank-one weak mixing for nonsingular transformations

DOI10.1007/BF02773802zbMath0896.58039OpenAlexW2008071542MaRDI QIDQ1376050

Cesar E. Silva, Nathaniel A. Friedman, Terrence M. Adams

Publication date: 14 September 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773802

zbMATH Keywords

ergodicityinfinite measure\(L^\infty\) spectrum

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99)

Related Items (15)

Infinite measure preserving transformations with Radon MSJ ⋮ Invariant measures for Cartesian powers of Chacon infinite transformation ⋮ Infinite symmetric ergodic index and related examples in infinite measure ⋮ Ergodic cocycles of IDPFT systems and non-singular Gaussian actions ⋮ On infinite transformations with maximal control of ergodic two-fold product powers ⋮ Topological factors of rank-one subshifts ⋮ Topological mixing properties of rank‐one subshifts ⋮ Funny rank-one weak mixing for nonsingular Abelian actions ⋮ Nearly finite Chacon transformation ⋮ Partially bounded transformations have trivial centralizers ⋮ Ergodicity and conservativity of products of infinite transformations and their inverses ⋮ Multiple recurrence of Markov shifts and other infinite measure preserving transformations ⋮ Ergodic Poisson splittings ⋮ Nonsingular transformations that are ergodic with isometric coefficients and not weakly doubly ergodic ⋮ On rationally ergodic and rationally weakly mixing rank-one transformations

Cites Work

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• Mixing properties of Markov operators and ergodic transformations, and ergodicity of Cartesian products
• The classification of non-singular actions, revisited
• Infinite measure preserving transformations with “mixing”
• Ergodic and Spectral Analysis of Certain Infinite Measure Preserving Transformations

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