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We study n by n symmetric random matrices H, possibly discrete, with iid above-diagonal entries.
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T. Tao, V. Vu, Random matrices: universality of local eigenvalue statistics
2011
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T. Tao, V. Vu, Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
2009
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H. Nguyen, Inverse Littlewood-Offord problems and the singularity of random symmetric matrices
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H. Nguyen, On the least singular value of random symmetric matrices
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R. Vershynin, Introduction to the non-asymptotic analysis of random matrices
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T. Tao, V. Vu, Random matrices: Localization of the eigenvalues and the necessity of four moments
2011
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