A balanced excited random walk
Résumé
The following random process on $\Z^4$ is studied. At first visit to a site, the two first coordinates perform a ($2$-dimensional) simple random walk step. At further visits, it is the last two coordinates which perform a simple random walk step. We prove that this process is almost surely transient. The lower dimensional versions are discussed and various generalizations and related questions are proposed.
Domaines
Probabilités [math.PR]Origine | Fichiers produits par l'(les) auteur(s) |
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