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三维自助式类渗流细胞自动机的临界值(英文) 被引量:1

Critical Points of Three-Dimensional Bootstrap Percolation-like Cellular Automata
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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. 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.
作者 陈嵘嵘
机构地区 伊利诺伊大学
出处 《应用概率统计》 CSCD 北大核心 1997年第4期399-406,共8页 Chinese Journal of Applied Probability and Statistics
关键词 细胞自动机 自助式渗流 临界值 渗流 cellular automata, bootstrap precolation, critical point
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参考文献4

  • 1T. S. Mountford. Rates for the probability of large cubes being non-internally spanned in modified bootstrap percolation[J] 1992,Probability Theory and Related Fields(2):159~167
  • 2A. C. D. Enter,Joan Adler,J. A. M. S. Duarte. Finite size effects for some bootstrap percolation models[J] 1991,Journal of Statistical Physics(1-2):505~506
  • 3A. C. D. Enter,Joan Adler,J. A. M. S. Duarte. Finite-size effects for some bootstrap percolation models[J] 1990,Journal of Statistical Physics(3-4):323~332
  • 4Roberto H. Schonmann. Critical points of two-dimensional bootstrap percolation-like cellular automata[J] 1990,Journal of Statistical Physics(5-6):1239~1244

同被引文献2

  • 1王星.关于自助式类渗流细胞自动机模型的临界值估计的几个问题:学位论文[M].北京:北京师范大学数学系,1997..
  • 2王星,学位论文,1997年

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