Open AccessFinite exclusion process and independent random walks
Author(s) -
Enrique D. Andjel
Publication year - 2013
Publication title -
brazilian journal of probability and statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.441
H-Index - 18
eISSN - 2317-6199
pISSN - 0103-0752
DOI - 10.1214/11-bjps170
Subject(s) - mathematics , random walk , infinity , convergence (economics) , process (computing) , statistical physics , combinatorics , mathematical analysis , statistics , physics , computer science , economic growth , operating system , economics
International audienceWe 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