Kohei Noda

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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 $m \in N_{> 0}$ outposts. An outpost is a connected component of the coincidence set that lies outside the droplet.…

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 $N$ , indexed by the rectangular parameter $I^½ \in N$ and the non-Hermiticity parameter $Ï\in [0,…