3 papers
math.PR2026
Two-dimensional Coulomb gases with multiple outposts
Kohei Noda
We study two-dimensional Coulomb gases in the presence of outposts. An outpost is a connected component of the coincidence set that lies outside the droplet.…
math-ph2025
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.PR2025
Real Eigenvalues of Asymmetric Wishart Matrices: Expected Number, Global Density and Integrable Structure
Sung-Soo Byun, Kohei Noda
We investigate the real eigenvalues of asymmetric Wishart matrices of size , indexed by the rectangular parameter and the non-Hermiticity parameter $Ï\in [0,…