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Pré-Publication, Document De Travail Année : 2022

Tree substitutions and Rauzy fractals

Résumé

We work with attracting subshifts generated by substitutions which are also irreducible parageometric automorphisms of free groups. For such a dynamical system, we construct a tree substitution to approximate the repelling real tree of the automorphism. We produce images of this tree inside the Rauzy fractal when the substitution is irreducible Pisot. We describe the contour of this tree and compute an interval exchange transformation of the circle covering the original substitution.

Dates et versions

hal-03518945 , version 1 (10-01-2022)

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Thierry Coulbois, Milton Minervino. Tree substitutions and Rauzy fractals. 2022. ⟨hal-03518945⟩
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