Ce vendredi 6 mai à 10h au CMI (salle de séminaire) nous écouterons
Sébastien FERENCZI nous parler des langages des échanges d’intervalles
de plus en plus généraux.

Vendredi 6 mai, Sébastien FERENCZI: Languages of (more and more) general
interval exchanges

The languages generated by interval exchange transformations have been
characterized by the authors (2008) and Belov-Cernyatev (2010) under
some extra conditions on the system. Lifting these conditions leads us
to consider successively natural codings of standard interval exchanges,
natural codings of affine interval exchanges, grouped codings of affine
interval exchanges, and natural codings of generalized interval
exchanges. We show that these four classes of languages are strictly
increasing, and give necessary and\or sufficient (but not all equally
explicit) combinatorial criteria to describe each of them. These work
also, mutatis mutandis, for interval exchanges with flips.