The spatial entropy of two-dimensional subshifts of finite type

被引：7

作者：

Juang, JQ ^{[1
]}

Lin, SS

Shieh, SF

Lin, WW

机构：

[1] Natl Chiao Tung Univ, Dept Math Appl, Hsinchu, Taiwan

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 12期

关键词：

D O I：

10.1142/S0218127400001894

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, two recursive formulas for computing the spatial entropy of two-dimensional subshifts of finite type are given. The exact entropy of a nontrivial example arising in cellular neural networks is obtained by using such formulas. We also establish some general theory concerning the spatial entropy of two-dimensional subshifts of finite type. In particular, we show that if either of the transition matrices is rank-one, then the associated exact entropy can be explicitly obtained. The generalization of our results to higher dimension can be similarly obtained. Furthermore, these formulas can be used numerically for estimating the spatial entropy.

引用

页码：2845 / 2852

页数：8