| Título: | Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix |
| Autores: |
Sen, Arnab; University of Cambridge Virag, Balint; University of Toronto |
| Fecha: | 2011-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Toeplitz matrix, eigenvalue distribution, spectral averaging 35P20; 60B20 |
| Descripción: | We show that the limiting eigenvalue distribution of random symmetric Toeplitz matrices is absolutely continuous with density bounded by 8, partially answering a question of Bryc, Dembo and Jiang (2006). The main tool used in the proof is a spectral averaging technique from the theory of random Schrödinger operators. The similar question for Hankel matrices remains open |
| Idioma: | No aplica |
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