Transport maps for Beta-matrix models and Universality

Florent Bekerman; Alessio Figalli; Alice Guionnet

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arXiv · 1311.2315

Transport maps for Beta-matrix models and Universality

Florent Bekerman·Alessio Figalli·Alice Guionnet

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Abstract

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. As a consequence, we deduce that local statistics have the same asymptotic behavior for both models.

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Florent Bekerman, Alessio Figalli, Alice Guionnet. 2015-01-26. Transport maps for Beta-matrix models and Universality. https://arxiv.org/abs/1311.2315

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