Asymptotic expansion of the expected spectral measure of Wigner matrices
نویسندگان
چکیده
We compute an asymptotic expansion with precision 1/n of the moments of the expected empirical spectral measure of Wigner matrices of size n with independent centered entries. We interpret this expansion as the moments of the addition of the semicircle law and 1/n times an explicit signed measured with null total mass. This signed measure depends only on the second and fourth moments of the entries. MSC 2010 Classification: 60B20.
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