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Universality and critical behaviour in the chiral two-matrix model

Universality and critical behaviour in the chiral two-matrix model

We study the chiral two-matrix model with polynomial potential functions V and W, which was introduced by Akemann, Damgaard, Osborn and Splittorff. We show that the squared singular values of each of the individual matrices in this model form a determinantal point process with correlation kernel determined by a matrix-valued …