114 citations · 373 across the 31 of their papers we have counts for
8 papers · 1 filter
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/…
Joint Global Fluctuations of complex Wigner and deterministic Matrices
Camile Male, James A. Mingo, Sandrine Péché +1
We characterize the limiting fluctuations of traces of several independent Wigner matrices and deterministic matrices under mild conditions. A CLT holds but in general the families…
Freely Independent Coin Tosses, Standard Young Tableaux, and the Kesten--McKay Law
Iris Stephanie Arenas Longoria, James A. Mingo
In this article, we shall start with a closed walk on a regular tree of degree . These walks are described by the Kesten-McKay law which arises as the asymptotic distribution of…