Semicircle law and freeness for random matrices with symmetries or correlations
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For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.
14 pages, Latex. To appear in Math. Res. Lett
14 pages, Latex. To appear in Math. Res. Lett