Transport Maps for β-Matrix Models in the Multi-Cut Regime

2015/12/01 by Bekerman, Florent
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1512.00302

Abstract

We use the transport methods developped in [3] to obtain universality results for local statistics of eigenvalues in the bulk and at the edge for β-matrix models in the multi-cut regime. We construct an approximate transport map inbetween two probability measures from the fixed filling fraction model discussed in [6] and deduce from it universality in the initial model.

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