Order symmetry and orthogonality of trajectories in discrete interval exchange transformations

Sébastien S. Ferenczi, Luca Q. Zamboni

Let $\pi =({<}_D,{<}_A)$ be a pair of distinct orders on a $k$-letter alphabet $A.$ The periodic trajectories $v_i^{\infty }$ of a discrete $k$-interval exchange transformations $T$ with p…