Self-joinings for 3-IETs

Self-joinings for 3-IETs

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.

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Veröffentlicht in:Journal of the European Mathematical Society : JEMS 2021-01, Vol.23 (8), p.2707-2731, Article 2707
Hauptverfasser: Chaika, Jon, Eskin, Alex
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1435-9855
1435-9863
DOI:10.4171/jems/1069