New scaling of Itzykson-Zuber integrals
Probability
2007-05-23 v1
Abstract
We study asymptotics of the Itzykson-Zuber integrals in the scaling when one of the matrices has a small rank compared to the full rank. We show that the result is basically the same as in the case when one of the matrices has a fixed rank. In this way we extend the recent results of Guionnet and Maida who showed that for a latter scaling the Itzykson-Zuber integral is given in terms of the Voiculescu's R-transform of the full rank matrix.
Keywords
Cite
@article{arxiv.math/0505664,
title = {New scaling of Itzykson-Zuber integrals},
author = {Benoit Collins and Piotr Sniady},
journal= {arXiv preprint arXiv:math/0505664},
year = {2007}
}