On the Potts antiferromagnet on random graphs (Q727170)
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scientific article
| Language | Label | Description | Also known as |
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| English | On the Potts antiferromagnet on random graphs |
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On the Potts antiferromagnet on random graphs (English)
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6 December 2016
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Summary: Extending a prior result of \textit{P. Contucci} et al. [Commun. Math. Phys. 323, No. 2, 517--554 (2013; Zbl 1285.82007)], we determine the free energy of the Potts antiferromagnet on the Erdős-Rényi random graph at all temperatures for average degrees \(d\leq (2k-1)\ln k - 2 - k^{-1/2}\). In particular, we show that for this regime of \(d\) there does not occur a phase transition.
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Potts model
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random graphs
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