125 citations · 509 across the 15 of their papers we have counts for
15 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…
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…
Logarithmic Spectral Distribution of a Non-Hermitian -Ensemble
Gernot Akemann, Francesco Mezzadri, Patricia Päßler +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 com…
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 -ensembles…
On relations between one-dimensional quantum and two-dimensional classical spin systems
J. Hutchinson, J. P. Keating, F. Mezzadri
We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems with critical properties equivalent to those of the class…
Random matrix theory and critical phenomena in quantum spin chains
J. Hutchinson, J. P. Keating, F. Mezzadri
We compute critical properties of a general class of quantum spin chains which are quadratic in the Fermi operators and can be solved exactly under certain symmetry constraints rel…