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math-ph2024★ 3 cited
Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble
Gernot Akemann, Sung-Soo Byun, Kohei Noda
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ensemble of Gaussian non-Hermitian random matrices with indepe…
math-ph2024
Large gap probabilities of complex and symplectic spherical ensembles with point charges
Sung-Soo Byun, Seongjae Park
We consider eigenvalues of complex and symplectic induced spherical ensembles, which can be realised as two-dimensional determinantal and Pfaffian Coulomb gases on the Riemann…
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…