Blocking measures for asymmetric exclusion processes via coupling

Details Blocking measures for asymmetric exclusion processes via coupling Blocking measures for asymmetric exclusion processes via coupling

2000-02-23

arxiv.org/abs/math/0002193v1

Bernoulli Volume 7, Number 6 (2001), 935-950

Mathematics

Probability

19 pages, one figure. Available online at: http://projecteuclid.org/euclid.bj/1078951130

Scientific paper

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.

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