Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees
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].
Authors
- Guus Regts (ORCID: https://orcid.org/0000-0002-7813-4952)
- Ferenc Bencs
- Khallil Berrekkal
Institutions
- Centrum Wiskunde & Informatica (NL)
- Vrije Universiteit Amsterdam (NL)
- University of Amsterdam (NL)
Publication Details
- Journal
- Electronic Journal of Probability
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1214/25-ejp1327
- Primary Topic
- Markov Chains and Monte Carlo Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek