Institut de Mathématiques de Luminy

Abstract 2003-02

Ferenczi Sébastien, Holton Charles, Zamboni Luca Q.
Joinings of three-interval exchange transformations.

We show that among three-interval exchange transformations there exists a dichotomy : T has minimal self-joinings whenever the associated subshift is linearly recurrent, and is rigid otherwise. We build also a family of simple rigid three-interval exchange transformations, which is a step towards an old question of Veech, and a family of rigid three-interval exchange transformations which includes Katok's rank one map.

 


Last update : april 2th, 2003, EL.