A percolation representation is constructed for additive particle systems with finite distributive lattice state spaces, demonstrated on Krone's two-stage contact process.
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A simplified version of Toom's Peierls argument based on Toom contours proves stability for monotone cellular automata with intrinsic randomness and derives lower bounds on critical parameters for deterministic automata.
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Percolation representations of additive particle systems
A percolation representation is constructed for additive particle systems with finite distributive lattice state spaces, demonstrated on Krone's two-stage contact process.
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Peierls bounds from Toom contours
A simplified version of Toom's Peierls argument based on Toom contours proves stability for monotone cellular automata with intrinsic randomness and derives lower bounds on critical parameters for deterministic automata.