| Título: | Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation |
| Autores: |
Erdos, Laszlo; LMU-University of Munich Ramirez, Jose A.; Universidad de Costa Rica Schlein, Benjamin; University of Bonn Yau, Horng-Tzer; Harvard University |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Wigner random matrix, Dyson sine kernel 15A52, 82B44 |
| Descripción: | We consider $N\times N$ Hermitian random matrices with independent identically distributed entries (Wigner matrices). We assume that the distribution of the entries have a Gaussian component with variance $N^{-3/4+\beta}$ for some positive $\beta>0$. We prove that the local eigenvalue statistics follows the universal Dyson sine kernel. |
| Idioma: | No aplica |
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