5 citations · 5 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Limit theorems for the painting of graphs by clusters
Olivier Garet
We consider a generalization of the so-called divide and color model recently introduced by Haggstrom. We investigate the behaviour of the magnetization in large boxes and its fluc…