Multiple space-time scale analysis for interacting branching models.
Dawson, Donald A., Greven, Andreas (1996)
Electronic Journal of Probability [electronic only]
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Multiple space-time scale analysis for interacting branching models.
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We consider a generalization of the so-called divide and color model recently introduced by Häggström. We investigate the behavior of the magnetization in large boxes of the lattice and its fluctuations. Thus, Laws of Large Numbers and Central Limit Theorems are proved, both quenched and annealed. We show that the properties of the underlying percolation process deeply influence the behavior of the coloring model. In the subcritical case, the limit magnetization is deterministic and...