114 citations · 373 across the 31 of their papers we have counts for
23 papers · 1 filter
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 the Partial Transpose of a Haar Unitary Matrix
James A. Mingo, Mihai Popa, Kamil Szpojankowski
We consider the effect of a partial transpose on the limit -distribution of a Haar distributed random unitary matrix. If we fix, , the number of blocks, we show that the part…
The Partial Transpose and Asymptotic Free Independence for Wishart Random Matrices: Part II
Mihai Popa, James A. Mingo
Using new combinatorial techniques, we significantly improve the previous results on asymptotic distributions and asymptotic free independence relations of partial transposes of Wi…
Second Order Cumulants: second order even elements and R-diagonal elements
Octavio Arizmendi, James A. Mingo
We introduce -diagonal and even operators of second order. We give a formula for the second order free cumulants of the square of a second order even element in terms of t…
The Cyclic Group and the Transpose of an R-cyclic matrix
Octavio Arizmendi, James A. Mingo
We show that using the cyclic group the transpose of an R-cyclic matrix can be decomposed along diagonal parts into a sum of parts which are freely independent over diagonal scalar…