Papers

Mean and variance of the Potts model in the hottest state

I’ve just arXived another revision of my paper on the PFAB algorithm: arXiv:1503.08066v3 [stat.CO]. It includes a rather elegant proof of the exact mean and variance of the sufficient statistic (S(\mathbf{z})) in the hottest state, when the inverse temperature (\beta = 0). The proof by my co-author Geoff Nicholls holds for any Potts model with first-order neighbours. That is, the nearest 4 neighbours in a 2D lattice (or 6 neighbours in 3D).