Passage time of the frog model has a sublinear variance
Résumé
In this paper, we show that the passage time in the frog model on Z d with d ≥ 2 has a sublinear variance. The proof is based on the method introduced in [8] combining with tessellation arguments to estimate the martingale difference. We also apply this method to get the linearity of the lengths of optimal paths.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)
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