Disjointness between bounded rank-one transformations
Dynamical Systems
2016-01-19 v1
Abstract
In this paper some sufficient conditions are given for when two bounded rank-one transformations are isomorphic or disjoint. For commensurate, canonically bounded rank-one transformations, isomorphism and disjointness are completely determined by simple conditions in terms of their cutting and spacer parameters. We also obtain sufficient conditions for bounded rank-one transformations to have minimal self-joinings. As an application, we give a proof of Ryzhikov's theorem that totally ergodic, non-rigid, bounded rank-one transformations have minimal self-joinings of all orders.
Keywords
Cite
@article{arxiv.1601.04119,
title = {Disjointness between bounded rank-one transformations},
author = {Su Gao and Aaron Hill},
journal= {arXiv preprint arXiv:1601.04119},
year = {2016}
}