= Random-cluster boundary condition
{title2=$\xi\text{ partitions }\partial\Lambda$}
= Random-cluster boundary partition
{synonym}
A boundary condition for a finite-box <random-cluster measure> is a partition of the boundary vertices. All vertices in one block are identified before counting open components; the identifications carry no Bernoulli edge factors. The weight is $p^{o(\omega)}(1-p)^{|E|-o(\omega)}q^{k_\xi(\omega)}$. A coarser partition makes more identifications. General partitions need not have a planar realization.
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