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• W3040923142 abstract "We completely determine the Brown measure of the sum of a self-adjoint element and an elliptic element, which is the limiting eigenvalue distribution of the random matrix [Y_N+sqrt{s-frac{t}{2}}X_N+isqrt{frac{t}{2}}X_N'] where $Y_N$ is an $Ntimes N$ deterministic Hermitian matrix whose eigenvalue distribution converges as $Ntoinfty$ and $X_N$ and $X_N'$ are independent Gaussian unitary ensembles. We also study various asymptotic behaviors of this Brown measure as the variance of the elliptic element approaches infinity." @default.
• W3040923142 created "2020-07-16" @default.
• W3040923142 creator A5063578054 @default.
• W3040923142 date "2020-07-12" @default.
• W3040923142 modified "2023-09-27" @default.
• W3040923142 title "The Brown measure of the sum of a self-adjoint element and an elliptic element" @default.
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• W3040923142 doi "https://doi.org/10.48550/arxiv.2007.06100" @default.
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