4 papers
Logarithmic Spectral Distribution of a Non-Hermitian -Ensemble
Gernot Akemann, Francesco Mezzadri, Patricia PäÃler +1
We introduce a non-Hermitian -ensemble and determine its spectral density in the limit of large and large matrix size . The ensemble is given by a general tridiagonal c…
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…
Higher order derivative moments of CUE characteristic polynomials and the Riemann zeta function
Alexander Grover, Francesco Mezzadri, Nick Simm
We use random matrix theory for the Circular Unitary Ensemble (CUE) to study moments of derivatives of the Riemann zeta function shifted a small distance from the critical line. Th…
A matrix model of a non-Hermitian -ensemble
Francesco Mezzadri, Henry Taylor
We introduce the first random matrix model of a complex -ensemble. The matrices are tridiagonal and can be thought of as the non-Hermitian analogue of the Hermite -ensemble…