The Number of Open Paths in Oriented Percolation
Résumé
We study the number $N_n$ of open paths of length $n$ in supercritical oriented percolation. We prove that on the percolation event $\{\inf N_n>0\}$, $N_n^{1/n}$ almost surely converges to a deterministic constant. The proof relies on the introduction of adapted sequences of regenerating times and on subadditive arguments.
Domaines
Probabilités [math.PR]Origine | Fichiers produits par l'(les) auteur(s) |
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