Substitution dynamical systems: Characterization of linear repetitivity and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:321

Article

Damanik, David ; Lenz, Daniel

关键词: symbolic dynamics;    combinatorics on words;    Schrodinger operators;   

DOI  :  10.1016/j.jmaa.2005.09.004

来源: Elsevier

【 摘 要 】

We consider dynamical systems arising from substitutions over a finite alphabet. We prove that such a system is linearly repetitive if and only if it is minimal. Based on this characterization we extend various results from primitive substitutions to minimal substitutions. This includes applications to random Schrodinger operators and to number theory. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free