Work

Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees

Year: 2025

Type: article

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].

Source: Electronic Journal of Probability

DOI: 10.1214/25-ejp1327

Authors: Ferenc Bencs, Khallil Berrekkal, Guus Regts

Institutions: Centrum Wiskunde & Informatica, University of Amsterdam

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek