期刊论文详细信息
Confluentes Mathematici | |
INTERVAL EXCHANGE TRANSFORMATION EXTENSION OF A SUBSTITUTION DYNAMICAL SYSTEM | |
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
【 预 览 】
Files | Size | Format | View |
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RO201902011396288ZK.pdf | 1578KB | download |