INTERVAL EXCHANGE TRANSFORMATION EXTENSION OF A SUBSTITUTION DYNAMICAL SYSTEM

Confluentes Mathematici

JULLIAN, YANN¹  BRESSAUD, XAVIER¹ 

[1] Institut de Mathématiques de Toulouse, Université Paul Sabatier, F-31062 Toulouse Cedex, France

关键词: Symbolic dynamics;    substitutive dynamical systems;    free group automorphisms;    free group actions;    real trees;   

DOI  :  10.1142/S1793744212500053

学科分类：数学（综合）

来源: World Scientific Publishing Co. Pte. Ltd.

【 摘 要 】

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.

【 授权许可】

Unknown