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Blocking measures for asymmetric exclusion processes via coupling

P. A. Ferrari·J. L. Lebowitz·E. Speer
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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.

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P. A. Ferrari, J. L. Lebowitz, E. Speer. 2000-02-23. Blocking measures for asymmetric exclusion processes via coupling. https://arxiv.org/abs/math/0002193

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