On the automorphism group of minimal S-adic subshifts of finite alphabet rank

被引：0

作者：

Espinoza, Bastian ^{[1
,2
,3
,4
]}

Maass, Alejandro ^{[1
,2
,3
]}

机构：

[1] Univ Chile, Dept Ingn Matemat, Beauchef 851, Santiago, Chile

[2] Univ Chile, Ctr Modelamiento Matemat, Beauchef 851, Santiago, Chile

[3] IRL CNRS 2807, Beauchef 851, Santiago, Chile

[4] Univ Picardie Jules Verne, Lab Arnienois Math Fondamentale & Appl, CNRS, UMR 7352, 33 Rue St Leu, F-80039 Amiens, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2021年

关键词：

S-adic subshifts; automorphism group; minimal Cantor systems; finite topological rank; DIAGRAMS; SHIFT;

D O I：

10.1017/etds.2021.64

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It has been recently proved that the automorphism group of a minimal subshift with non-superlinear word complexity is virtually Z [Cyr and Kra. The automorphism group of a shift of linear growth: beyond transitivity. Forum Math. Sigma 3 (2015), e5; Donoso et al. On automorphism groups of low complexity subshifts. Ergod. Th. & Dynam. Sys. 36(1) (2016), 64-95]. In this article we extend this result to a broader class proving that the automorphism group of a minimal S-adic subshift of finite alphabet rank is virtually Z. The proof is based on a fine combinatorial analysis of the asymptotic classes in this type of subshifts, which we prove are a finite number.

引用

页码：2800 / 2822

页数：23

共 7 条

[1] Symbolic factors of S-adic subshifts of finite alphabet rank
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[2] INTERPLAY BETWEEN FINITE TOPOLOGICAL RANK MINIMAL CANTOR SYSTEMS, S-ADIC SUBSHIFTS AND THEIR COMPLEXITY
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