| Título: | Joint convergence of several copies of different patterned random matrices |
| Autores: |
Basu, Riddhipratim; University of California, Berkeley Bose, Arup; Indian Statistical Institute Ganguly, Shirshendu; University of Washington Hazra, Rajat Subhra; University of Zurich |
| Fecha: | 2012-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Random matrices, free probability, joint convergence, patterned matrices, Toeplitz matrix, Hankel matrix, Reverse Circulant matrix, Symmetric Circulant matrix, Wigner matrix Primary 60B20; Secondary 60B10; 46L53;46L54 |
| Descripción: | 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. |
| Idioma: | Inglés |
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