The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

In a seminal paper, Page found the exact formula for the average entanglement entropy for a
pure random state. We consider the analogous problem for the ensemble of pure fermionic …

We study the statistical behavior of entanglement in quantum bipartite systems over
fermionic Gaussian states as measured by von Neumann entropy and entanglement …

The randomised Horn problem, in both its additive and multiplicative versions, has recently
drawn an increasing interest. Especially, closed analytical results have been found for the …

We study the statistical behavior of quantum entanglement in bipartite systems over
fermionic Gaussian states as measured by von Neumann entropy. The formulas of average …

We study Markov chains formed by squared singular values of products of truncated
orthogonal, unitary, symplectic matrices (corresponding to the Dyson index β= 1, 2, 4 …

In the present work we show that the joint probability distribution of the eigenvalues can be
expressed in terms of a differential operator acting on the distribution of some other matrix …

In this work, we consider the weighted difference of two independent complex Wishart
matrices and derive the joint probability density function of the corresponding eigenvalues in …

We establish universality for the largest singular values of products of random matrices with
right unitarily invariant distributions, in a regime where the number of matrix factors and size …

Let x ̂ be a normalised standard complex Gaussian vector, and project an Hermitian matrix
A onto the hyperplane orthogonal to x ̂. In a recent paper Faraut (Tunisian J. Math. 1 …