Self-joinings for 3-IETs
Jon Chaika
University of Utah, Salt Lake City, USAAlex Eskin
University of Chicago, USA
![Self-joinings for 3-IETs cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-23-issue-8.png&w=3840&q=90)
Abstract
We show that typical interval exchange transformations on three intervals are not 2-simple answering a question of Veech. Moreover, the set of self-joinings of almost every 3-IET is a Poulsen simplex.
Cite this article
Jon Chaika, Alex Eskin, Self-joinings for 3-IETs. J. Eur. Math. Soc. 23 (2021), no. 8, pp. 2707–2731
DOI 10.4171/JEMS/1069