The spectrum of dynamical systems arising from substitutions of constant length
The spectrum of dynamical systems arising from substitutions of constant length
复制标题
由恒定长度替换产生的动力系统谱
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
F. Dekking
中科院分区：
文献类型：
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作者：
F. Dekking
摘要考虑由置换引起的最小流和动力系统。在定长替换的情况下，计算了流的迹关系，并利用它来确定动力系统的谱。指出了从给定的置换中获得新的置换的几种方法，其中包括对由任何置换引起的系统上的移位同胚幂的行为的描述。
SummaryMinimal flows and dynamical systems arising from substitutions are considered. In the case of substitutions of constant length the trace relation of the flow is calculated and is used to determine the spectrum of the dynamical system. Several methods are indicated to obtain new substitutions from given ones, leading among other things to a description of the behaviour of powers of the shift homeomorphism on the system arising from any substitution.