Basu, Riddhipratim ; Bose, Arup ; Ganguly, Shirshendu ; Hazra, Rajat (2012) Joint convergence of several copies of different patterned random matrices Electronic Journal of Probability, 17 (none). ISSN 1083-6489
Full text not available from this repository.
Official URL: http://doi.org/10.1214/EJP.v17-1970
Related URL: http://dx.doi.org/10.1214/EJP.v17-1970
Abstract
We study the joint convergence of independent copies of several patterned matrices in the non-commutative probability setup. In particular, joint convergence holds for the well known Wigner, Toeplitz, Hankel, Reverse Circulant and Symmetric Circulant matrices. We also study some properties of the limits. In particular, we show that copies of Wigner becomes asymptotically free with copies of any of the above other matrices.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematical Statistics. |
| ID Code: | 135056 |
| Deposited On: | 18 Jan 2023 09:10 |
| Last Modified: | 18 Jan 2023 09:10 |
Repository Staff Only: item control page
