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 $\nu \in \mathbb{N}$ and the non-Hermiticity parameter $τ\in [0,1]…