摘要
研究了一类元胞自动机,证明了带随机扰动的元胞自动机即概率元胞自动机具有大偏差性质。
Cullular automata have been the subject with considerable recent study.We investigate a class of neaest neighbor cellular automata taking values {-1,1} on Z^d.In the deterministic setting,this class includes rules that yield fracta-like patterns when starting from a single occupied site.We are interested here in cellular automata with small random perturbations,that is,the probabilistic cellular automata (briefly,PCA).We show here that PCA have the property of large deviation.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2003年第3期224-227,232,共5页
Journal of Nanchang University(Natural Science)
基金
江西省自然科学基金资助项目(0011005)
关键词
概率元胞自动机
大偏差
依概率指数收敛
随机扰动
probabilistic cellular automata
large deviation
exponential convergence in probability
