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math.PR2014
Universality for two-dimensional critical cellular automata
Béla Bollobás, Hugo Duminil-Copin, Robert Morris +1
We study the class of monotone, two-state, deterministic cellular automata, in which sites are activated (or 'infected') by certain configurations of nearby infected sites. These m…
math.PR2014★ 12 cited
Essential enhancements revisited
Paul Balister, Béla Bollobás, Oliver Riordan
In 1991 Aizenman and Grimmett claimed that any `essential enhancement' of site or bond percolation on a lattice lowers the critical probability, an important result with many impli…