Competition between growths governed by Bernoulli Percolation

Abstract

We study a competition model on ${\mathbb{Z}}^d$ where the two infections are driven by supercritical Bernoulli percolations with distinct parameters $p$ and $q$. We prove that, for any $q$, there exist at most countably many values of $p<\min (q,\overrightarrow{p\_c})$ such that coexistence can occur.

30 pages with figures

Cited by in corpus (2)

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