We give sufficient conditions on the rates of two asymmetric exclusion processes such that the existence of an invariant blocking measure for the first implies the existence of such a measure for the second. The main tool is a coupling between the two processes under which the first dominates the second in an appropriate sense. In an appendix we construct a class of processes for which the existence of a blocking measure can be proven directly; these are candidates for comparison processes in applications of the main result.
@article{1078951130,
author = {Ferrari, Pablo A. and Lebowitz, Joel L. and Speer, Eugene},
title = {Blocking measures for asymmetric exclusion processes via coupling},
journal = {Bernoulli},
volume = {7},
number = {6},
year = {2001},
pages = { 935-950},
language = {en},
url = {http://dml.mathdoc.fr/item/1078951130}
}
Ferrari, Pablo A.; Lebowitz, Joel L.; Speer, Eugene. Blocking measures for asymmetric exclusion processes via coupling. Bernoulli, Tome 7 (2001) no. 6, pp. 935-950. http://gdmltest.u-ga.fr/item/1078951130/