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PDF Availablehttps://doi.org/10.1007/s10955-023-03145-z
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Cite Journal: Journal of Statistical Physics |  Publication Date: Aug 8, 2023 |
 License type: CC BY 4.0 |
Affiliation: University of Amsterdam
In this paper we prove that for any integer qge 5, the anti-ferromagnetic q-state Potts model on the infinite Delta -regular tree has a unique Gibbs measure for all edge interaction parameters win [1-q/Delta ,1), provided Delta is large enough. This confirms a longstanding folklore conjecture.
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