Flows and ferromagnets
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The two-point correlation function of a Potts model on a graph may be expressed in terms of the flow polynomials of `Poissonian' random graphs derived from 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.
Cite
@article{arxiv.math/0509127,
title = {Flows and ferromagnets},
author = {Geoffrey Grimmett},
journal= {arXiv preprint arXiv:math/0509127},
year = {2007}
}