CHEN Rongrong, . Critical Points of Three-Dimensional Bootstrap Percolation-like Cellular Automata[J]. Chinese Journal of Applied Probability and Statistics, 1997, 13(4): 399-406.
Citation: CHEN Rongrong, . Critical Points of Three-Dimensional Bootstrap Percolation-like Cellular Automata[J]. Chinese Journal of Applied Probability and Statistics, 1997, 13(4): 399-406.

Critical Points of Three-Dimensional Bootstrap Percolation-like Cellular Automata

  • 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.
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