Capacity of the range of random walk on $\mathbb Z^4$
Résumé
We study the scaling limit of the capacity of the range of a simple random walk on the integer lattice in dimension four. We establish a strong law of large numbers and a central limit theorem with a non-gaussian limit. The asymptotic behaviour is analogous to that found by Le Gall in '86 [28] for the volume of the range in dimension two.
Domaines
Probabilités [math.PR]Origine | Fichiers produits par l'(les) auteur(s) |
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