Finite exclusion process and independent random walks

Enrique D. Andjel (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We show that the total variational distance between a process of two particles interacting by exclusion and a process of two independent particles goes to 0 as time goes to infinity, when the underlying one particle system is a symmetric random walk on Z(d) with finite second moments. Upper bounds for the speed of convergence are given.

Mots clés: exclusion system; random walks

Domaines: Probabilités [math.PR]; Statistiques [math.ST]

Enrique D. Andjel. Finite exclusion process and independent random walks. Brazilian Journal of Probability and Statistics, 2013, 27 (2), pp.227-244. ⟨10.1214/11-BJPS170⟩. ⟨hal-01302591⟩