227 citations
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Showing 2003 · math.PRShow all
3 papers · 2 filters
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★ 41 cited
On the noise-induced passage through an unstable periodic orbit I: Two-level model
Nils Berglund, Barbara Gentz
We consider the problem of stochastic exit from a planar domain, whose boundary is an unstable periodic orbit, and which contains a stable periodic orbit. This problem arises when…
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…