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Title: Subcritical monotone cellular automata
Abstract We study monotone cellular automata (also known as ‐bootstrap percolation) in 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 is non‐zero for all subcritical models.  more » « less
Award ID(s):
1855745
PAR ID:
10488366
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Wiley.com
Date Published:
Journal Name:
Random Structures & Algorithms
Volume:
64
Issue:
1
ISSN:
1042-9832
Page Range / eLocation ID:
38 to 61
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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