Sums of random matrices and the Potts model on random planar maps

We compute the partition function of the $q$-states Potts model on a random planar lattice with $p\leq q$ allowed, equally weighted colours on a connected boundary. To this end, we employ its matrix model representation in the planar limit, generalising a result by Voiculescu for the addition of ran...

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Bibliographic Details
Main Authors: Atkin, M, Niedner, B, Wheater, J
Format: Journal article
Published: IOP Publishing 2016