Subshifts of multi-dimensional shifts of finite type

被引：25
|
作者：
Quas, AN [1 ]
Trow, PB [1 ]
机构：
[1] Memphis State Univ, Dept Math Sci, Memphis, TN 38152 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2000年 / 20卷
关键词：
D O I：
10.1017/S0143385700000468
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that every shift of finite type X with positive entropy has proper subshifts of finite type with entropy strictly smaller than the entropy of X, but with entropy arbitrarily close to the entropy of X. Consequently, X contains an infinite chain of subshifts of finite type which is strictly decreasing in entropy.
引用
收藏
页码：859 / 874
页数：16
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