Correlation inequalities for the Potts model
Mathematical Physics
2018-03-16 v2 math.MP
Probability
Abstract
Correlation inequalities are presented for ferromagnetic Potts models with external field, using the random-cluster representation of Fortuin and Kasteleyn, together with the FKG inequality. These results extend and simplify earlier inequalities of Ganikhodjaev and Razak, and also of Schonmann, and include GKS-type inequalities when the spin-space is taken as the set of th roots of unity.
Cite
@article{arxiv.0901.1625,
title = {Correlation inequalities for the Potts model},
author = {Geoffrey R. Grimmett},
journal= {arXiv preprint arXiv:0901.1625},
year = {2018}
}
Comments
v2: accepted in Mathematics and Mechanics of Complex Systems