Relative weak mixing is generic
Dynamical Systems
2018-07-24 v2
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, ergodic transformation . We then use a result of Connes, Feldman and Weiss to extend this relative theorem to the general (countable) amenable group.
Cite
@article{arxiv.1707.06425,
title = {Relative weak mixing is generic},
author = {Eli Glasner and Benjamin Weiss},
journal= {arXiv preprint arXiv:1707.06425},
year = {2018}
}