Relative weak mixing is generic

Eli Glasner; Benjamin Weiss

doi:10.1007/s11425-018-9390-4

Relative weak mixing is generic

Eli Glasner^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A classical result of Halmos asserts that among measure preserving transformations the weak mixing property is generic. We extend Halmos’ result to the collection of ergodic extensions of a fixed, but arbitrary, aperiodic transformation T₀. We then use a result of Ornstein and Weiss to extend this relative theorem to the general (countable) amenable group.

Original language	English
Pages (from-to)	69-72
Number of pages	4
Journal	Science China Mathematics
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s11425-018-9390-4
State	Published - 1 Jan 2019

Bibliographical note

Publisher Copyright:
© 2018, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

37A05
37A15
37A20
37A25
amenable groups
relative weak mixing
Rokhlin’s lemma

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10.1007/s11425-018-9390-4

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Relative weak mixing is generic

Abstract

Bibliographical note

Keywords

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