On the Time Constant in a Dependent First Passage Percolation Model

Julie Scholler (1)

1 IECN - Institut Élie Cartan de Nancy

We pursue the study of a random coloring first passage percolation model introduced by Fontes and Newman. We prove that the asymptotic shape of this first passage percolation model continuously depends on the law of the coloring. The proof uses several couplings, particularly with greedy lattice animals.

Mots clés: percolation; first passage percolation; time constant; random coloring

Domaines: Probabilités [math.PR]

Julie Scholler. On the Time Constant in a Dependent First Passage Percolation Model. 2011. ⟨hal-00654933⟩