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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 $\beta$-matrix models in the multi-cut regime.
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P. Bourgade, L. Erdös, and H.-T. Yau · 2014
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Universality of general β \beta -ensembles
P. Bourgade, L. Erdős, and H.-T. Yau · 2014
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Universality in several-matrix models via approximate transport maps
A. Figalli and A. Guionnet · 2014
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Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices
M. Maïda and É. Maurel-Segala · 2014
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Change of variables as a method to study general β \beta -models: bulk universality
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Asymptotic expansion of β \beta matrix models in the multi-cut regime
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G. Borot and A. Guionnet · 2013
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Fluctuations of linear eigenvalue statistics of β \beta matrix models in the multi-cut regime
M. Shcherbina · 2013
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