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Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation
Erdos, Laszlo; LMU-University of Munich - Ramirez, Jose A.; Universidad de Costa Rica - Schlein, Benjamin; University of Bonn - Yau, Horng-Tzer; Harvard University
Formato: |
Peer-reviewed Article, |
Enlaces: |
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…
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Fecha: |
2010-01-01 |
Recurso: |
Electronic journal of probability |
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