New scaling of Itzykson-Zuber integrals
| dc.creator | Collins, Benoit | |
| dc.creator | Sniady, Piotr | |
| dc.date | 2005-05-30 | |
| dc.date.accessioned | 2026-07-07T07:49:20Z | |
| dc.date.available | 2026-07-07T07:49:20Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0505664 | |
| dc.identifier | http://arxiv.org/abs/math/0505664 | |
| dc.identifier | Ann. Inst. H. Poincare Probab. Statist. 43 (2007) no. 2, 139--146 | |
| dc.identifier | doi:10.1016/j.anihpb.2005.12.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124810 | |
| dc.subject | Probability | |
| dc.subject | 60F10; 15A52 | |
| dc.title | New scaling of Itzykson-Zuber integrals | |
| dc.type | text |