Combinatorial models of expanding dynamical systems

被引：14

作者：

Nekrashevych, Volodymyr ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2014年 / 34卷

基金：

美国国家科学基金会;

关键词：

GRAPH ALGEBRAS;

D O I：

10.1017/etds.2012.163

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove homotopical rigidity of expanding dynamical systems, by showing that they are determined by a group-theoretic invariant. We use this to show that the Julia set of every expanding dynamical system is an inverse limit of simplicial complexes constructed by inductive cut-and-paste rules. Moreover, the cut-and-paste rules can be found algorithmically from the algebraic invariant.

引用

页码：938 / 985

页数：48

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