2023-08-08
Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the Infinite Δ-regular tree for large Δ
Publication
Publication
Journal of Statistical Physics , Volume 190 p. 140:1- 140:24
In this paper we prove that for any integer q ≥ 5, the anti-ferromagnetic q-state Potts model on the infinite -regular tree has a unique Gibbs measure for all edge interaction parameters w ∈ [Δ − q/, Δ), provided is large enough. This confirms a longstanding folklore conjecture.
| Additional Metadata | |
|---|---|
| , , | |
| doi.org/10.1007/s10955-023-03145-z | |
| Journal of Statistical Physics | |
|
Bencs, F., de Boer, D., Buys, P., & Regts, G. (2023). Uniqueness of the Gibbs measure for the anti-ferromagnetic
Potts model on the Infinite Δ-regular tree for large Δ. Journal of Statistical Physics, 190, 140:1–140:24. doi:10.1007/s10955-023-03145-z |
|
