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math.PR2022
Subcritical bootstrap percolation via Toom contours
Ivailo Hartarsky, Réka Szabó
In this note we provide an alternative proof of the fact that subcritical bootstrap percolation models have a positive critical probability in any dimension. The proof relies on a…
math.PR2022
Peierls bounds from Toom contours
Jan M. Swart, Réka Szabó, Cristina Toninelli
For deterministic monotone cellular automata on the -dimensional integer lattice, Toom has given necessary and sufficient conditions for the all-one fixed point to be stable aga…