Uniqueness of the Gibbs Measure for the Anti-ferromagnetic Potts Model on the Infinite Δ-Regular Tree for Large Δ
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| Publication date | 08-08-2023 |
| Journal | Journal of Statistical Physics |
| Article number | 140 |
| Volume | Issue number | 190 |
| Number of pages | 24 |
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| Abstract | In this paper we prove that for any integer q ≥ 5, the anti-ferromagnetic q-state Potts model on the infinite Δ-regular tree has a unique Gibbs measure for all edge interaction parameters ω ε [1-q/Δ, 1), provided Δ is large enough. This confirms a longstanding folklore conjecture. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s10955-023-03145-z |
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Uniqueness of the Gibbs Measure for the Anti-ferromagnetic Potts Model
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