2 papers
math.PR2022
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…
math.PR2017
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…