Geodesic
Interval exchange transformation extension of a substitution dynamical system
Confluentes Mathematici, Tome 4 (2012) no. 4

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Let α be a free group automorphism on FN with maximal index and Σα the associated attracting subshift. We prove that there exists an Interval Exchange Transformation on the circle whose coding factorizes onto Σα. In the case when there is an explicit construction of the ℝ-tree associated to α, we construct algorithmically such IET. We conclude by giving examples.

Publié le :
DOI : 10.1142/S1793744212500053

Bressaud, Xavier 1 ; Jullian, Yann 1

1 
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Bressaud, Xavier; Jullian, Yann. Interval exchange transformation extension of a substitution dynamical system. Confluentes Mathematici, Tome 4 (2012) no. 4. doi: 10.1142/S1793744212500053

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