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三维自助式类渗流细胞自动机的临界值
引用本文:陈嵘嵘.三维自助式类渗流细胞自动机的临界值[J].应用概率统计,1997,13(4):399-406.
作者姓名:陈嵘嵘
作者单位:伊利诺伊大学!厄巴纳,美国
摘    要:本文研究三维自助式类渗流细胞自动机的临界值.得出临界值pc=0的一些充分条件和必要条件.当pc>0时,利用定向点渗流的临界值,给出了pc上、下界的显式估计.

关 键 词:细胞自动机  自助式渗流  临界值

Critical Points of Three-Dimensional Bootstrap Percolation-like Cellular Automata
CHEN RONGRONG.Critical Points of Three-Dimensional Bootstrap Percolation-like Cellular Automata[J].Chinese Journal of Applied Probability and Statisties,1997,13(4):399-406.
Authors:CHEN RONGRONG
Abstract:This paper deals with the critical point of three-dimensional bootstrap percolation-like cellular automata. Some general sufficient or necessary conditions for pc = 0 are obtained. In the case of pc >0, some explicit upper and lower bounds are provided in terms of the critical value of oriented site percolation.
Keywords:cellular automata  bootstrap precolation  critical point
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