Perfectly clustering words: Induction and morphisms
Date(s) : 08/05/2023 iCal
15h00 - 16h00
Perfectly clustering words are special factors in trajectories of discrete interval exchange transformation with symmetric permutation. If the discrete interval exchange transformation has two intervals, they are Christoffel words. Therefore, perfectly clustering words are a natural generalization of Christoffel words. In this talk, an induction on discrete interval exchange transformation with symmetric permutation will be presented. This induction sends a discrete interval exchange transformation with symmetric permutation into another one with the same permutation but smaller intervals. Moreover, the induction leads to morphisms, sending a perfectly clustering word to another perfectly clustering word. Finally, a new bijection between perfectly clustering words and band bricks over certain gentle algebras will be presented.
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More info: https://www.i2m.univ-amu.fr/wiki/Combinatorics-on-Words-seminar/
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