On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations
Dynamical Systems
2015-05-20 v2
Abstract
We study the notions of weak rational ergodicity and rational weak mixing as defined by Jon Aaronson. We prove that various families of infinite measure-preserving rank-one transformations possess (or do not posses) these properties, and consider their relation to other notions of mixing in infinite measure.
Keywords
Cite
@article{arxiv.1208.3161,
title = {On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations},
author = {Irving Dai and Xavier Garcia and Tudor Pădurariu and Cesar E. Silva},
journal= {arXiv preprint arXiv:1208.3161},
year = {2015}
}
Comments
Some typos corrected, a reference added, arguments expanded