Every transformation is disjoint from almost every IET
Dynamical Systems
2012-09-10 v3
Abstract
We show that every transformation is disjoint from almost every interval exchange transformation (IET), answering a question of Bufetov. In particular, we prove that almost every pair of IETs is disjoint. It follows that the product of almost every pair is uniquely ergodic. A key step in the proof is showing that any sequence of density 1 contains a rigidity sequence for almost every IET, strengthening a result of Veech.
Cite
@article{arxiv.0905.2370,
title = {Every transformation is disjoint from almost every IET},
author = {Jon Chaika},
journal= {arXiv preprint arXiv:0905.2370},
year = {2012}
}
Comments
14 pages. Significant revision with a stronger main result