A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity sequences of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical systems.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-4,
author = {Terrence Adams},
title = {Tower multiplexing and slow weak mixing},
journal = {Colloquium Mathematicae},
volume = {139},
year = {2015},
pages = {47-71},
zbl = {06390267},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-4}
}
Terrence Adams. Tower multiplexing and slow weak mixing. Colloquium Mathematicae, Tome 139 (2015) pp. 47-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-1-4/