Embedding of expansive dynamical systems into symbolic dynamical systems

被引：10
|
作者：
Akashi, S [1 ]
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2000年 / 46卷 / 1-2期
关键词：
D O I：
10.1016/S0034-4877(01)80003-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Let (X, d) be a compact and totally disconnected metric space, and Tan expansive continuous mapping on X with values in X. Then, it is shown that the expansive dynamical system (X, d, T) can be embedded into a certain symbolic dynamical system. Moreover, compactification of the family consisting of all nonexpansive mappings on a compact metric space is given.
引用
收藏
页码：11 / 14
页数：4
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