Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees
| Authors | |
|---|---|
| Publication date | 2025 |
| Journal | Electronic Journal Of Probability |
| Article number | 65 |
| Volume | Issue number | 30 |
| Number of pages | 26 |
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| Abstract | We show that the anti-ferromagnetic Potts model on trees exhibits strong spatial mixing for a near-optimal range of parameters. Our work complements recent results of Chen, Liu, Mani, and Moitra [CLMM23] who showed this to be true in the infinite temperature setting, corresponding to uniform proper colorings. We furthermore prove weak spatial mixing results complementing results in [CLMM23]. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1214/25-EJP1327 |
| Other links | https://www.scopus.com/pages/publications/105003222809 |
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Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees
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