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math.PR2003
Coexistence in two-type first-passage percolation models
Olivier Garet, Regine Marchand
We study the problem of coexistence in a two-type competition model governed by first-passage percolation on $\Zd$ or on the infinite cluster in Bernoulli percolation. Actually, we…
math.PR2003
Central limit theorems in Random cluster and Potts Models
Olivier Garet
We prove that for q>=1, there exists r(q)<1 such that for p>r(q), the number of points in large boxes which belongs to the infinite cluster has a normal central limit behaviour und…
math.PR2003★ 5 cited
Asymptotic shape for the chemical distance and first-passage percolation in random environment
Olivier Garet, Regine Marchand
The aim of this paper is to generalize the well-known asymptotic shape result for first-passage percolation on $\Zd$ to first-passage percolation on a random environment given by t…