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Flows and ferromagnets

Geoffrey Grimmett
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Abstract

The two-point correlation function of a Potts model on a graph $G$ may be expressed in terms of the flow polynomials of `Poissonian' random graphs derived from $G$ by replacing each edge by a Poisson-distributed number of copies of itself. This fact extends to Potts models the so-called random-current expansion of the Ising model.

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Geoffrey Grimmett. 2005-09-06. Flows and ferromagnets. https://arxiv.org/abs/math/0509127

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