Abstract
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 $\mathbb{Z}^{d}$ with finite second moments. Upper bounds for the speed of convergence are given.
Citation
E. D. Andjel. "Finite exclusion process and independent random walks." Braz. J. Probab. Stat. 27 (2) 227 - 244, May 2013. https://doi.org/10.1214/11-BJPS170