Extremal Reversible Measures for the Exclusion Process

Details Extremal Reversible Measures for the Exclusion Process Extremal Reversible Measures for the Exclusion Process

2003-09-14

arxiv.org/abs/math/0309235v1

J. Stat. Phys, Vol. 112 (2003) 165-191

Mathematics

Probability

Scientific paper

We give a characterization of the invariant measures for the exclusion process on the integers with certain reversible transition kernels. Some examples include all nearest-neighbor kernels with asymptotic mean zero. One tool used is a necessary and sufficient condition for reversible measures to be extremal in the set of all invariant measures which is an interesting result in its own right.

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