Subcritical monotone cellular automata

We study monotone cellular automata (also known as 𝒰‐bootstrap percolation) in ℤd$$ {\mathbb{Z}}^d $$ with random initial configurations. Confirming a conjecture of Balister, Bollobás, Przykucki and Smith, who proved the corresponding result in two dimensions, we show that the critical probability i...

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Bibliographic Details

Published in:	Random structures & algorithms Vol. 64; no. 1; pp. 38 - 61
Main Authors:	Balister, Paul, Bollobás, Béla, Morris, Robert, Smith, Paul
Format:	Journal Article
Language:	English
Published:	New York John Wiley & Sons, Inc 01.01.2024 Wiley Subscription Services, Inc
Subjects:	bootstrap percolation Cellular automata Percolation universality
ISSN:	1042-9832, 1098-2418
Online Access:	Get full text
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