Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite $\Delta$-regular tree for large $\Delta$

Ferenc Bencs, David de Boer, Pjotr Buys +1

In this paper we prove that for any integer $q\ge 5$, the anti-ferromagnetic $q$-state Potts model on the infinite $\Delta$-regular tree has a unique Gibbs measure for all edge interac…