Ergodic theorems are proved for the one dimensional translation invariant simple exclusion process, in cases in which the initial distribution is highly nontranslation invariant.
@article{1176995721,
author = {Liggett, Thomas M.},
title = {Ergodic Theorems for the Asymmetric Simple Exclusion Process II},
journal = {Ann. Probab.},
volume = {5},
number = {6},
year = {1977},
pages = { 795-801},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995721}
}
Liggett, Thomas M. Ergodic Theorems for the Asymmetric Simple Exclusion Process II. Ann. Probab., Tome 5 (1977) no. 6, pp. 795-801. http://gdmltest.u-ga.fr/item/1176995721/