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arXiv · 2310.04338

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

Ferenc Bencs·Khallil Berrekkal·Guus Regts
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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 [arXiv.2304.01954] 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 [arXiv.2304.01954].

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Ferenc Bencs, Khallil Berrekkal, Guus Regts. 2023-10-06. Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees. https://arxiv.org/abs/2310.04338

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