Automorphisms of automatic shifts
Automorphisms of automatic shifts
复制标题
自动移位的自同构
DOI：
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发表时间：
2019
影响因子：
0.9
通讯作者：
R. Yassawi
中科院分区：
文献类型：
--
作者：
Clemens Müllner;R. Yassawi
本文继续研究常长替换移位的自同构群及其拓扑因子。我们表明，共轭，所有的根的身份映射是字母交换的地图，和所有其他非平凡的自同构产生扭曲压缩的另一个恒定长度的替代。我们的特点是在可测和拓扑设置的身份的根组。最后，我们证明了任何拓扑因子的恒定长度的替代移位是拓扑共轭的恒定长度的替代移位通过字母到字母的代码。
In this paper we continue the study of automorphism groups of constant-length substitution shifts and also their topological factors. We show that, up to conjugacy, all roots of the identity map are letter-exchanging maps, and all other non-trivial automorphisms arise from twisted compressions of another constant-length substitution. We characterize the group of roots of the identity in both the measurable and topological setting. Finally, we show that any topological factor of a constant-length substitution shift is topologically conjugate to a constant-length substitution shift via a letter-to-letter code.