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We prove a local law in the bulk of the spectrum for random Gram matrices $XX^*$, a generalization of sample covariance matrices, where $X$ is a large matrix with independent, centered entries with arbitrary variances.
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A. Knowles and J. Yin, Anisotropic local laws for random matrices , Prob. Theor. Rel. Fields (2016), doi:10.1007/s00440-016-0730-4 (Online)
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