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Exact spectral densities of complex noise-plus-structure random matrices

Exact spectral densities of complex noise-plus-structure random matrices

We use supersymmetry to calculate exact spectral densities for a class of complex random matrix models having the form $M=S+LXR$, where $X$ is a random noise part $X$, and $S,L,R$ are fixed structure parts. This is a certain version of the ``external field'' random matrix models. We find twofold integral …