Blocking measures for asymmetric exclusion processes via coupling
Probability
2007-07-02 v1 Mathematical Physics
math.MP
Abstract
We give sufficient conditions on the rates of two asymmetric exclusion processes such that the existence of a blocking invariant 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.
Keywords
Cite
@article{arxiv.math/0002193,
title = {Blocking measures for asymmetric exclusion processes via coupling},
author = {P. A. Ferrari and J. L. Lebowitz and E. Speer},
journal= {arXiv preprint arXiv:math/0002193},
year = {2007}
}
Comments
19 pages, one figure. Available online at: http://projecteuclid.org/euclid.bj/1078951130