Topological entropy and periodic points of a factor of a subshift of finite type
Topological entropy and periodic points of a factor of a subshift of finite type
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DOI：
10.1017/s0027763000022704
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发表时间：
1986-12
影响因子：
0.8
通讯作者：
T. Shimomura
中科院分区：
文献类型：
--
作者：
T. Shimomura
设 X 为紧空间，f 为从 X 到自身的连续映射。 f 的拓扑熵 h(f) 由 Adler、Konheim 和 McAndrew 定义 [1]。之后Bowen[4]定义了度量空间均匀连续映射的拓扑熵，并证明当空间紧时这两个熵是重合的。 Bowen 的定义对于计算连续映射的熵很有用。
Let X be a compact space and f be a continuous map from X into itself. The topological entropy of f, h(f), was defined by Adler, Konheim and McAndrew [1]. After that Bowen [4] defined the topological entropy for uniformly continuous maps of metric spaces, and proved that the two entropies coincide when the spaces are compact. The definition of Bowen is useful in calculating entropy of continuous maps.