2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Spectral density of complex eigenvalues and associated mean eigenvector self-overlaps at the edge of elliptic Ginibre ensembles
Mark J. Crumpton, Tim R. Würfel
We consider the density of complex eigenvalues, , and the associated mean eigenvector self-overlaps, , at the spectral edge of real and complex e…
Mean eigenvector self-overlap in the real and complex elliptic Ginibre ensembles at strong and weak non-Hermiticity
Mark J. Crumpton, Yan V. Fyodorov, Tim R. Würfel
We study the mean diagonal overlap of left and right eigenvectors associated with complex eigenvalues in non-Hermitian random Gaussian matrices. In well known works by…
Mean left-right eigenvector self-overlap in the real Ginibre ensemble
Tim R. Würfel, Mark J. Crumpton, Yan V. Fyodorov
We study analytically the Chalker-Mehlig mean diagonal overlap between left and right eigenvectors associated with a complex eigenvalue of matrices…