Convergence of Asynchronous Cellular Automata: Does Size Matter?

被引：0
|
作者：
Sethi, Biswanath [1 ]
Roy, Souvik [2 ]
Das, Sukanta [2 ]
机构：
[1] Indira Gandhi Inst Technol, Dept Comp Sci Engn & Applicat, Dhenkanal 759146, Odisha, India
[2] Indian Inst Engn Sci & Technol, Dept Informat Technol, Howrah 711103, W Bengal, India
来源：
JOURNAL OF CELLULAR AUTOMATA | 2018年 / 13卷 / 5-6期
关键词：
Asynchronous cellular automata (ACAs); Markov chains; convergence; fixed point; absorbing state;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper studies convergence of elementary cellular automata to a fixed point under fully asynchronous update. We study four possible cases- convergence of automata for any size and for the sizes that are multiple of 2, multiple of 3 and multiple of 4 only. We identify 146 cellular automata rules that converge for any size. Further, we also identify 21 and 6 rules which converge when the sizes are multiple of 2 and 3 respectively. However, we do not find any convergent rule when the sizes are multiple of 4 only. In this work we study cellular automata in fully asynchronous update as absorbing Markov chains.
引用
收藏
页码：527 / 542
页数：16
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