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math.PR2022
Third order moments of complex Wigner matrices
Daniel Munoz George, James A. Mingo
We compute the third order moments of a complex Wigner matrix. We provide a formula for the third order moments in terms of quotient graphs wh…
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…