114 citations · 120 across the 7 of their papers we have counts for
4 papers · 1 filter
On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem
Roland Speicher
We address the question of a Berry Esseen type theorem for the speed of convergence in a multivariate free central limit theorem. For this, we estimate the difference between the o…
On slow-fading non-separable correlation MIMO systems
Reza Rashidi Far, Tamer Oraby, Wlodzimierz Bryc +1
In a frequency selective slow-fading channel in a MIMO system, the channel matrix is of the form of a block matrix. We propose a method to calculate the limit of the eigenvalue dis…
Multiplication of free random variables and the S-transform: the case of vanishing mean
N. Raj Rao, Roland Speicher
This note extends Voiculescu's S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show t…
Operator-valued semicircular elements: Solving a quadratic matrix equation with positivity constraints
J. William Helton, Reza Rashidi Far, Roland Speicher
We show that the quadratic matrix equation , for given with positive real part and given analytic mapping with some positivity preserving properties, has ex…