FRACTAL TREES FOR IRREDUCIBLE AUTOMORPHISMS OF FREE GROUPS

被引：2

作者：

Coulbois, Thierry ^{[1
]}

机构：

[1] Univ Aix Marseille 3, LATP, F-13013 Marseille, France

来源：

JOURNAL OF MODERN DYNAMICS | 2010年 / 4卷 / 02期

关键词：

Hausdorff dimension; outer space; tree; free group automorphism; directed graph construction; self-similar; fractal tree; IWIP; LAMINATIONS; REPRESENTATION;

D O I：

10.3934/jmd.2010.4.359

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The self-similar structure of the attracting subshift of a primitive substitution is carried over to the limit set of the repelling tree in the boundary of outer space of the corresponding irreducible outer automorphism of a free group. Thus, this repelling tree is self-similar (in the sense of graph directed constructions). Its Hausdorff dimension is computed. This reveals the fractal nature of the attracting tree in the boundary of outer space of an irreducible outer automorphism of a free group.

引用

页码：359 / 391

页数：33

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