Symmetric intersections of Rauzy fractals

Tarek Sellami
Université de Sfax, Tunisie

Date(s) : 26/05/2015   iCal
11 h 00 min - 12 h 00 min

In this talk we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of its Rauzy fractal with the Rauzy fractal of the reverse substitution. This set is symmetric and it is obtained by the balanced pair algorithm associated to both substitutions.


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