In his classical paper [Ann. of Math. 45 (1944)] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book, Lectures on Ergodic Theory, he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rokhlin. For this reason the name of Rokhlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups. In this paper we will survey some of the new developments in this area.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-2,
author = {Eli Glasner and Benjamin Weiss},
title = {Topological groups with Rokhlin properties},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {51-80},
zbl = {1134.22001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-2}
}
Eli Glasner; Benjamin Weiss. Topological groups with Rokhlin properties. Colloquium Mathematicae, Tome 111 (2008) pp. 51-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-2/