Invertible linear cellular automata over Zm:: Algorithmic and dynamical aspects

被引：39
|
作者：
Manzini, G [1 ]
Margara, L
机构：
[1] Univ Turin, Dipartimento Sci & Tecnol Avanzate, CNR, Pisa, Italy
[2] CNR, Inst Matemat Comp, I-56100 Pisa, Italy
[3] Univ Bologna, Dipartimento Sci Informaz, Bologna, Italy
来源：
JOURNAL OF COMPUTER AND SYSTEM SCIENCES | 1998年 / 56卷 / 01期
关键词：
D O I：
10.1006/jcss.1997.1535
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give an explicit and efficiently computable formula for the inverse of D-dimensional linear cellular automata over Zm (D greater than or equal to 1, m greater than or equal to 2). We use this formula to get an easy-to-check necessary and sufficient condition for an invertible one-dimensional linear CA to be expansive, and we prove that this condition is equivalent to topological transitivity. (C) 1998 Academic Press.
引用
收藏
页码：60 / 67
页数：8
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