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Local Semicircle Law and Complete Delocalization for Wigner Random Matrices
(Springer Nature, 2008)
We consider N × N Hermitian random matrices with independent identical distributed entries. The matrix is normalized so that the average spacing between consecutive eigenvalues is of order 1/N. Under suitable assumptions ...
Wegner Estimate and Level Repulsion for Wigner Random Matrices
(Oxford University Press (OUP), 2009)
We consider N × N Hermitian random matrices with independent identically distributed entries (Wigner matrices). The matrices are normalized so that the average spacing between consecutive eigenvalues is of order 1/ N. Under ...