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math.PR2024
-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions
Sung-Soo Byun, Peter J. Forrester, Jaeseong Oh
The eigenvalue probability density function of the Gaussian unitary ensemble permits a -extension related to the discrete -Hermite weight and corresponding -orthogonal pol…
math.PR2024★ 1 cited
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles
Sung-Soo Byun, Kohei Noda
Non-Hermitian Wishart matrices were introduced in the context of quantum chromodynamics with a baryon chemical potential. These provide chiral extensions of the elliptic Ginibre en…
math.PR2021
Random normal matrices in the almost-circular regime
Sung-Soo Byun, Seong-Mi Seo
We study random normal matrix models whose eigenvalues tend to be distributed within a narrow "band" around the unit circle of width proportional to , where is the siz…