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

页码：859 / 874

页数：16

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