Subcritical monotone cellular automata
RANDOM STRUCTURES & ALGORITHMS(2024)
摘要
We study monotone cellular automata (also known as U-bootstrap percolation) in Z(d) with random initial configurations. Confirming a conjecture of Balister, Bollobas, Przykucki and Smith, who proved the corresponding result in two dimensions, we show that the critical probability is non-zero for all subcritical models.
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关键词
bootstrap percolation,cellular automata,universality
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