Extremal Reversible Measures for the Exclusion Process

2003/09/14 by Paul Jung
Mathematics · #math.PR #msc:60K35

paper · pdf

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

arxiv created 2003/09/14 · arxiv updated 2009/12/01

Abstract

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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