Linearly recurrent subshifts have a finite number of non-periodic subshift factors
Linearly recurrent subshifts have a finite number of non-periodic subshift factors
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线性循环子移具有有限数量的非周期性子移因子
DOI：
10.1017/s0143385700000584
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发表时间：
2000
影响因子：
0.9
通讯作者：
F. Durand
中科院分区：
文献类型：
--
作者：
F. Durand
一个极小子移位$（X，T）$是线性常返的（LR），如果存在一个常数$K$，使得对于由有限字$u$生成的每个闭集$U$，关于$T$到$U$的返回时间以$K $为界|u| $.我们证明了给定LR子移位$（X，T）$，其非周期子移位因子的集合是有限的直到同构。我们也给出了这些子移位的建设性的特征。
A minimal subshift $(X,T)$ is linearly recurrent (LR) if there exists a constant $K$ so that for each clopen set $U$ generated by a finite word, $u$, the return time to $U$, with respect to $T$, is bounded by $K|u|$. We prove that given a LR subshift $(X,T)$ the set of its non-periodic subshift factors is finite up to isomorphism. We also give a constructive characterization of these subshifts.