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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.PR2025★ 1 cited
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 $τ\in [0,1]…
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…