# Rigidity of eigenvalues of generalized Wigner matrices

@article{Erds2010RigidityOE,
title={Rigidity of eigenvalues of generalized Wigner matrices},
author={L. Erdős and H. Yau and Jun Yin},
year={2010},
volume={229},
pages={1435-1515}
}
• Published 2010
• Physics, Mathematics
Consider N×N Hermitian or symmetric random matrices H with independent entries, where the distribution of the (i,j) matrix element is given by the probability measure νij with zero expectation and with variance σij2. We assume that the variances satisfy the normalization condition ∑iσij2=1 for all j and that there is a positive constant c such that c⩽Nσij2⩽c−1. We further assume that the probability distributions νij have a uniform subexponential decay. We prove that the Stieltjes transform of… Expand
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