Self-joinings for 3-IETs

Jon Chaika; Alex Eskin

doi:10.4171/jems/1069

JournalsjemsVol. 23, No. 8pp. 2707–2731

Self-joinings for 3-IETs

Jon Chaika
University of Utah, Salt Lake City, USA
- MathSciNet
- zbMATH Open
Alex Eskin
University of Chicago, USA
- MathSciNet
- zbMATH Open

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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