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.
arXiv:math- ph/2305.13184
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Derives coupled SDEs for eigenvalue and eigenvector-overlap processes in non-Hermitian Brownian motion and SPDEs for the regularized FK determinant random field.
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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.
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Eigenvalues, eigenvector-overlaps, and regularized Fuglede-Kadison determinant of the non-Hermitian matrix-valued Brownian motion
Derives coupled SDEs for eigenvalue and eigenvector-overlap processes in non-Hermitian Brownian motion and SPDEs for the regularized FK determinant random field.