On a syntactically defined invariant of symbolic dynamics

On a syntactically defined invariant of symbolic dynamics
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关于符号动力学的句法定义不变量

DOI:
10.1017/s0143385700000249
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发表时间:
2000
影响因子:
0.9
通讯作者:
Wolfgang Krieger
Wolfgang Krieger
中科院分区:
数学2区
文献类型:
--
作者:
Wolfgang Krieger

文献摘要

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构造一个与子移位不变相关的偏序集。描述了子位移的性质,也是拓扑共轭的不变量。如果此属性存在于子移位中,则构造的偏序集是偏序半群(为零)。在这些不变量的描述中,上下文的概念是有帮助的。
A partially ordered set that is invariantly associated to a subshift is constructed. A property of subshifts, also an invariant of topological conjugacy, is described. If this property is present in a subshift then the constructed partially ordered set is a partially ordered semigroup (with zero). In the description of these invariants the notion of context is instrumental.