Dynamical Systems Seminar

Title: Languages of (more and more) general interval exchanges
Speaker: Sébastien Ferenczi
Speaker Info: Institut de Mathématiques de Marseille
Brief Description:
Special Note:

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.
Date: Tuesday, May 17, 2022
Time: 3:00pm
Where: Lunt 104
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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