Now showing items 1-2 of 2

    • Bulk universality for Wigner matrices 

      Erdos, Laszlo; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer (Wiley-Blackwell, 2010)
      We consider N × N Hermitian Wigner random matrices H where the probability density for each matrix element is given by the density ν(x) = e−U(x). We prove that the eigenvalue statistics in the bulk are given by the Dyson ...
    • Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation 

      Erdos, Laszlo; Ramirez, Jose; Schlein, Benjamin; Yau, Horng-Tzer (Institute of Mathematical Statistics, 2010)
      We consider N×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+βN−3/4+β for some ...