We construct approximate transport maps for non-critical Beta-matrix models, that is, maps so that the push forward of a non-critical Beta-matrix model with a given potential is a non-critical Beta-matrix model with another potential, up to a small error in the total variation distance.
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Asymptotic Expansion of β \beta Matrix Models in the multi-cut Regime
G. Borot and A. Guionnet · 2013
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M. Shcherbina · 2013
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Universality of general β \beta -ensembles
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P. Bourgade, H.-T. Yau, and J. Yin · 2014
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G. De Philippis and A. Figalli · 2014
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