Combinatorics and loop equations for antisymmetrised and Hermitised matrix product ensembles

Stephane Dartois, Anas. A Rahman

The order $m$ antisymmetrised matrix product ensemble is represented by the product $X_1^T\cdots X_m^{T}J{X}_m\cdots X_1$, where $X_1,\dots ,X_m$ are independent real Ginibre matrices…