| 概率元胞自动机的大偏差 |
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| 引用本文： | 梅国平.概率元胞自动机的大偏差[J].南昌大学学报(理科版),2003,27(3):224-227,232. |
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| 作者姓名： | 梅国平 |
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| 作者单位： | 江西财经大学,江西,南昌,330013 |
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| 基金项目： | 江西省自然科学基金资助项目(0011005) |
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| 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。
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| 关 键 词： | 概率元胞自动机 大偏差 依概率指数收敛 随机扰动 |
| 文章编号： | 1006-0464(2003)03-0224-04 |
LARGE DEVIATION FOR PROBABILISTIC CELLULAR AUTOMATA |
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| MEI Guo-ping.LARGE DEVIATION FOR PROBABILISTIC CELLULAR AUTOMATA[J].Journal of Nanchang University(Natural Science),2003,27(3):224-227,232. |
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| Authors: | MEI Guo-ping |
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| Abstract: | 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. |
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| Keywords: | probabilistic cellular automata large deviation exponential convergence in probability |
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