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.
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Glasner, E., Weiss, B. Relative weak mixing is generic. Sci. China Math. 62, 69–72 (2019). https://doi.org/10.1007/s11425-018-9390-4
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DOI: https://doi.org/10.1007/s11425-018-9390-4