1 citations · 4 across the 6 of their papers we have counts for
8 papers
Non-commutative Stein's Method: Applications to Free Probability and Sums of Non-commutative Variables
Mario Díaz, Arturo Jaramillo
We present a straightforward formulation of Stein's method for the semicircular distribution, specifically designed for the analysis of non-commutative random variables. Our approa…
On the Analytic Structure of Second-Order Non-Commutative Probability Spaces and Functions of Bounded Fréchet Variation
Mario Diaz, James A. Mingo
In this paper we propose a new approach to the central limit theorem (CLT), based on functions of bounded Féchet variation for the continuously differentiable linear statistics of…
Fluctuations for matrix-valued Gaussian processes
Mario Diaz, Arturo Jaramillo, Juan Carlos Pardo
We consider a symmetric matrix-valued Gaussian process and its empirical spectral measure process . Under some mild condit…
On the Global Fluctuations of Block Gaussian Matrices
Mario Diaz, James Mingo, Serban Belinschi
In this paper we study the global fluctuations of block Gaussian matrices within the framework of second-order free probability theory. In order to compute the second-order Cauchy…
On the Symmetries and the Capacity Achieving Input Covariance Matrices of Multiantenna Channels
Mario Diaz
In this paper we study the capacity achieving input covariance matrices of a single user multiantenna channel based solely on the group of symmetries of its matrix of propagation c…
On the Capacity of Block Multiantenna Channels
Mario Diaz, Víctor Pérez-Abreu
In this paper we consider point-to-point multiantenna channels with certain block distributional symmetries which do not require the entries of the channel matrix to be either Gaus…
On Random Operator-Valued Matrices: Operator-Valued Semicircular Mixtures and Central Limit Theorem
Mario Diaz
Motivated by a random matrix theory model from wireless communications, we define random operator-valued matrices as the elements of $L^{\infty-}(Ω,{\mathcal F},{\mathbb P}) \otime…
Random Matrix Systems with Block-Based Behavior and Operator-Valued Models
Mario Diaz, Víctor Pérez-Abreu
A model to estimate the asymptotic isotropic mutual information of a multiantenna channel is considered. Using a block-based dynamics and the angle diversity of the system, we deri…