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math.PR2022
Subcritical monotone cellular automata
Paul Balister, Béla Bollobás, Robert Morris +1
We study monotone cellular automata (also known as -bootstrap percolation) in with random initial configurations. Confirming a conjecture of Balister, B…
math.PR2022★ 2 cited
The critical length for growing a droplet
Paul Balister, Béla Bollobás, Robert Morris +1
In many interacting particle systems, relaxation to equilibrium is thought to occur via the growth of 'droplets', and it is a question of fundamental importance to determine the cr…
math.PR2022
Universality for monotone cellular automata
Paul Balister, Béla Bollobás, Robert Morris +1
In this paper we study monotone cellular automata in dimensions. We develop a general method for bounding the growth of the infected set when the initial configuration is chose…