%0 Journal Article %T Finite exclusion process and independent random walks %+ Laboratoire d'Analyse, Topologie, Probabilités (LATP) %A Andjel, Enrique, D. %< avec comité de lecture %@ 0103-0752 %J Brazilian Journal of Probability and Statistics %I São Paulo, SP : Associação Brasileira de Estatística %V 27 %N 2 %P 227-244 %8 2013-05 %D 2013 %R 10.1214/11-BJPS170 %K exclusion system %K random walks %Z 60K35 %Z Mathematics [math]/Probability [math.PR] %Z Mathematics [math]/Statistics [math.ST]Journal articles %X 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. %G English %L hal-01302591 %U https://hal.science/hal-01302591 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE