The limiting spectral density of the new non-Hermitian beta-ensemble is the logarithm of the radius plus a constant, rotationally invariant on a compact disk.
Statistical ensembles of complex, quaternion, and real matrices
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Logarithmic Spectral Distribution of a non-Hermitian $\beta$-Ensemble
The limiting spectral density of the new non-Hermitian beta-ensemble is the logarithm of the radius plus a constant, rotationally invariant on a compact disk.