Critical points of two-dimensional bootstrap percolation-like cellular automata |
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| Authors: | Roberto H Schonmann |
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| Institution: | (1) Instituto de Matemática e Estatistica da Universidade de São Paulo, 01498 São Paulo, SP, Brazil |
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| Abstract: | Cellular automata in two dimensions that generalize the bootstrap percolation dynamics are considered, focusing on the thresholdp
c of the initial density for convergence to total occupancy to occur; these models are classified according top
c being 0, 1, or strictly between these extreme values. Explicit upper and lower bounds are provided in the third case. |
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| Keywords: | Cellular automata bootstrap percolation critical points |
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