Transport maps for Beta-matrix models and Universality
Probability
2015-01-27 v4
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.
Keywords
Cite
@article{arxiv.1311.2315,
title = {Transport maps for Beta-matrix models and Universality},
author = {Florent Bekerman and Alessio Figalli and Alice Guionnet},
journal= {arXiv preprint arXiv:1311.2315},
year = {2015}
}