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math.PR2022★ 2 cited
Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite -regular tree for large
Ferenc Bencs, David de Boer, Pjotr Buys +1
In this paper we prove that for any integer , the anti-ferromagnetic -state Potts model on the infinite -regular tree has a unique Gibbs measure for all edge interac…
math.PR2020★ 5 cited
Uniqueness of the Gibbs measure for the -state anti-ferromagnetic Potts model on the regular tree
David de Boer, Pjotr Buys, Guus Regts
We show that the -state anti-ferromagnetic Potts model with interaction parameter on the infinite -regular tree has a unique Gibbs measure if $w\geq 1-\frac{4…