Self-Joinings for 3-IETs

2018/05/28 by Chaika, Jon, Eskin, Alex · 1 citation
#37E05 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.11167

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 Paulsen simplex.

Cited by

• Special flow systems with the minimal self-joining property

Related

• Mobius disjointness for interval exchange transformations on three\n intervals
• Self-joinings and generic extensions of ergodic systems
• Self joinings of rigid rank one transformations arise as strong operator topology limits of convex combinations of powers
• Exchange of three intervals: itineraries, substitutions and\n palindromicity
• There exists a topologically mixing IET