125 citations · 509 across the 15 of their papers we have counts for
10 papers · 1 filter
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…
Moments of the transmission eigenvalues, proper delay times and random matrix theory II
F. Mezzadri, N. J. Simm
We systematically study the first three terms in the asymptotic expansions of the moments of the transmission eigenvalues and proper delay times as the number of quantum channels n…
Moments of the transmission eigenvalues, proper delay times and random matrix theory I
F. Mezzadri, N. J. Simm
We develop a method to compute the moments of the eigenvalue densities of matrices in the Gaussian, Laguerre and Jacobi ensembles for all the symmetry classes beta = 1,2, 4 and fin…
Rate of convergence of linear functions on the unitary group
J. P. Keating, F. Mezzadri, B. Singphu
We study the rate of convergence to a normal random variable of the real and imaginary parts of Tr(AU), where U is an N x N random unitary matrix and A is a deterministic complex m…
A matrix model with a singular weight and Painleve' III
L. Brightmore, F. Mezzadri, M. Y. Mo
We investigate the matrix model with weight and unitary symmetry. and unitary symmetry. In particular we study the double scaling limit as $N…
On an average over the Gaussian Unitary Ensemble
F. Mezzadri, M. Y. Mo
We study the asymptotic limit for large matrix dimension N of the partition function of the unitary ensemble with weight exp(-z^2/2x^2 + t/x - x^2/2). We compute the leading order…
Entanglement entropy in quantum spin chains with finite range interaction
A. R. Its, F. Mezzadri, M. Y. Mo
We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Suc…