Asymptotic Freeness of Random Permutation Matrices from Gaussian Matrices
| dc.creator | Neagu, Mihail G. | |
| dc.date | 2004-10-01 | |
| dc.date | 2004-12-03 | |
| dc.date.accessioned | 2026-07-07T06:26:35Z | |
| dc.date.available | 2026-07-07T06:26:35Z | |
| dc.description | We show that an independent family of uniformly distributed random permutation matrices is asymptotically *-free from an independent family of square complex Gaussian matrices and from an independent family of complex Wishart matrices, and that in both cases the convergence in *-distribution actually holds almost surely. An immediate consequence is that, if the rows of a GUE matrix are randomly permuted, then the resulting (non self-adjoint) random matrix has a *-distribution which is asymptotically circular; similarly, a random permutation of the rows of a complex Wishart matrix results in a random matrix which is asymptotically *-distributed like an R-diagonal element from free probability theory. | |
| dc.description | 22 pages, no figures; added section 4 and minor modifications to sections 1-3 | |
| dc.identifier | https://arxiv.org/abs/math/0410028 | |
| dc.identifier | http://arxiv.org/abs/math/0410028 | |
| dc.identifier | J. Ramanujan Math. Soc. 20 (2005), no. 3, 189-213. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97152 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54 (primary), 15A52 (secondary) | |
| dc.title | Asymptotic Freeness of Random Permutation Matrices from Gaussian Matrices | |
| dc.type | text |