The simple exclusion process "as seen from a tagged particle" is studied. The set of translation invariant and invariant measures for this process is determined in the translation invariant case on $\mathbb{Z}^d$. The set of all invariant measures is determined in the nearest neighbor asymmetric case on $\mathbb{Z}$. The domains of attraction of the invariant measures are established in the one-dimensional nearest neighbor translation invariant case.
Publié le : 1986-10-14
Classification:
Simple exclusion process,
tagged particle,
invariant measures,
zero range process,
60K35
@article{1176992369,
author = {Ferrari, Pablo A.},
title = {The Simple Exclusion Process as Seen from a Tagged Particle},
journal = {Ann. Probab.},
volume = {14},
number = {4},
year = {1986},
pages = { 1277-1290},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992369}
}
Ferrari, Pablo A. The Simple Exclusion Process as Seen from a Tagged Particle. Ann. Probab., Tome 14 (1986) no. 4, pp. 1277-1290. http://gdmltest.u-ga.fr/item/1176992369/