Eui Jong Yoo

Three Topological Phases of the Elliptic Ginibre Ensembles with a Point Charge

Abstract We consider the complex and symplectic elliptic Ginibre matrices of size $$(c+1)N \times (c+1)N$$ ( c + 1 ) N × ( c + 1 ) N , conditioned to have a deterministic eigenvalue at $$ p \in \mathbb {R} $$ p ∈ R with multiplicity cN . We show that their limiting spectrum is ei...