Conjecture: In general a mixing transformation is not two-fold mixing

DOI10.1214/AOP/1176993084zbMath0574.28012OpenAlexW1983433226WikidataQ122904921 ScholiaQ122904921MaRDI QIDQ1063714

Steven Alpern

Publication date: 1985

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993084

zbMATH Keywords

Baire spacemixing stationary processmixing transformationthe two-fold mixing automorphisms are of first category in the mixing onestopology in the space of all automorphisms of a Lebesgue spacetwo- dimensional distributions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Baire category, Baire spaces (54E52)

Related Items (3)

Conjugacy classes are dense in the space of mixing \(\mathbb{Z}^d\)-actions ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Measure-preserving rank one transformations

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