On Mixing Rank One Infinite Transformations
Dynamical Systems
2011-06-24 v1
Abstract
J.-P. Thouvenot and the author showed via different approaches that the centralizer of a mixing rank-one infinite measure preserving transformation was trivial. In this note the author presents his joining proof. We also consider constructions with algebraic spacers as well as a class of Sidon constructions to produce new examples of mixing rank one transformations. In connection with Gordin's question on the existence of homoclinic ergodic actions for a zero entropy system we also discuss Poisson suspensions of some modifications of Sidon rank one constructions.
Keywords
Cite
@article{arxiv.1106.4655,
title = {On Mixing Rank One Infinite Transformations},
author = {V. V. Ryzhikov},
journal= {arXiv preprint arXiv:1106.4655},
year = {2011}
}