Note on powers in three interval exchange transformations

Note on powers in three interval exchange transformations

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 includ...

Structure of three interval exchange transformations I: an arithmetic study

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A Note on Rotations and Interval Exchange Transformations on 3-intervals

We show that no interval exchange transformation can be a conjugacy between an irrational rotation and an interval exchange transformation on 3-intervals with corresponding permutation (1, 2, 3) → (3, 2, 1), and rationally independent discontinuity points. AMS Subject Classification: 28D05

Languages of k-interval exchange transformations

This paper gives a complete characterization of those sequences of subword complexity (k− 1)n + 1 that are natural codings of orbits of k-interval exchange transformations, thereby answering an old question of Rauzy.