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Semicircle law and freeness for random matrices with symmetries or correlations

Jeffrey H. Schenker·Hermann Schulz-Baldes
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Abstract

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.

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Jeffrey H. Schenker, Hermann Schulz-Baldes. 2005-05-02. Semicircle law and freeness for random matrices with symmetries or correlations. https://arxiv.org/abs/math-ph/0505003

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