M. J. Crumpton

collaborators

2 papers

math-ph2026

Interpolating non-Hermitian universality classes A and AI $^{†}$ : eigenvalue density and transition regime

Mark J. Crumpton, Francesco Mezzadri

We employ the recently developed Kac-Rice formalism for non-Hermitian random matrices to derive the joint distribution of an eigenvalue and its associated normalised right eigenvec…

math-ph2024

Spectral density of complex eigenvalues and associated mean eigenvector self-overlaps at the edge of elliptic Ginibre ensembles

Mark J. Crumpton, Tim R. WÃ¼rfel

We consider the density of complex eigenvalues, $I ¨ (z)$ , and the associated mean eigenvector self-overlaps, $O (z)$ , at the spectral edge of $N \times N$ real and complex…

Interpolating non-Hermitian universality classes A and AI†: eigenvalue density and transition regime

Spectral density of complex eigenvalues and associated mean eigenvector self-overlaps at the edge of elliptic Ginibre ensembles

Interpolating non-Hermitian universality classes A and AI $^{†}$ : eigenvalue density and transition regime