An asymptotic log-Fourier interpretation of the R-transform
| dc.creator | Guionnet, Alice | |
| dc.creator | Maida, Mylene | |
| dc.date | 2004-06-07 | |
| dc.date | 2005-03-11 | |
| dc.date.accessioned | 2026-07-07T05:08:57Z | |
| dc.date.available | 2026-07-07T05:08:57Z | |
| dc.description | We estimate the asymptotics of spherical integrals when the rank of one matrix is finite. We show that it is given in terms of the R-transform of the spectral measure of the full rank matrix and give a new proof of the fact that the R-transform is additive under free convolution. These asymptotics also extend to the case where one matrix has rank one but complex eigenvalue, a result related with the analyticity of the corresponding spherical integrals. | |
| dc.description | Revised version : the proof for the full asymptotics in rank one has been corrected and a bit shortened. An appendix was added | |
| dc.identifier | https://arxiv.org/abs/math/0406121 | |
| dc.identifier | http://arxiv.org/abs/math/0406121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71464 | |
| dc.subject | Probability | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 60F10; 15A52; 46L50 | |
| dc.title | An asymptotic log-Fourier interpretation of the R-transform | |
| dc.type | text |