How Vertex reinforced jump process arises naturally

Xiaolin Zeng (1)

1 PSPM - Probabilités, statistique, physique mathématique

We prove that the only nearest neighbor jump process with local dependence on the occupation times satisfying the partially exchangeable property is the vertex reinforced jump process, under some technical conditions (Theorem 4). This result gives a counterpart to the characterization of edge reinforced random walk given by Rolles [9].

Domaines: Probabilités [math.PR]

Xiaolin Zeng. How Vertex reinforced jump process arises naturally. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2016, ⟨10.1214/15-AIHP671⟩. ⟨hal-00903306v2⟩