From order to chaos - Pisa 2018

Tree substitutions and Rauzy fractals

speaker: Milton Minervino (University of Bordeaux)

abstract: Symbolic dynamical systems generated by Pisot substitutions can be interpreted geometrically by Rauzy fractals. The Pisot conjecture states that these dynamical systems have pure discrete spectrum, which is the case if the associated Rauzy fractals tile the space where they are represented. The aim of this talk is to show how to construct certain self-similar trees which fill these fractal domains, under the additional hypothesis that the substitutions are parageometric free group automorphisms. This allows to link the dynamics of the substitutive system with that of an interval exchange transformation.

timetable:
Thu 12 Apr, 11:30 - 12:20, Aula Dini
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