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Extremal Reversible Measures for the Exclusion Process

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arxiv math/0309235 v1 pith:R2CTSCGZ submitted 2003-09-14 math.PR

Extremal Reversible Measures for the Exclusion Process

classification math.PR
keywords measuresreversibleexclusionextremalinvariantkernelsprocessasymptotic
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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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