Samenvatting
We study the antiferromagnetic Potts model on the Poissonian Erdos-Rényi random graph. By identifying a suitable interpolation structure and an extended variational principle, together with a positive temperature second-moment analysis we prove the existence of a phase transition at a positive critical temperature. Upper and lower bounds on the temperature critical value are obtained from the stability analysis of the replica symmetric solution (recovered in the framework of Derrida-Ruelle probability cascades) and from an entropy positivity argument.
Originele taal-2 | Engels |
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Pagina's (van-tot) | 517-554 |
Tijdschrift | Communications in Mathematical Physics |
Volume | 323 |
Nummer van het tijdschrift | 2 |
DOI's | |
Status | Gepubliceerd - 2013 |