114 citations · 373 across the 31 of their papers we have counts for
34 papers
Infinitesimal Freeness of Wigner Matrices
Samuel Gurrola-Viramontes, James A. Mingo
In this paper, within the framework of real infinitesimal free probability introduced by Cébron and the second author, we compute the real infinitesimal free cumulants of independe…
Infinitesimal Operators and the Distribution of Anticommutators and Commutators
James A. Mingo, Pei-Lun Tseng
In an infinitesimal probability space we consider operators which are infinitesimally free and one of which is infinitesimal, in that all its moments vanish. Many previously analys…
On partial transposes of unitarily invariant random matrices
James A. Mingo, Mihai Popa
We compute the limit distribution of partial transposes (when both the number and the size of blocks tends to infinity) for a large class of ensembles of unitarily invariant random…
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…
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…
The Asymptotic Infinitesimal Distribution of a Real Wishart Random Matrix
James A. Mingo, Josue Vazquez-Becerra
Let be a real Wishart random matrix with aspect ratio . The limit eigenvalue distribution of is the Marchenko-Pastur law with parameter $c = \lim_N M/…