44 citations · 120 across the 27 of their papers we have counts for
30 papers
Freely infinitely divisible -diagonal elements and Brown measure
Yu Kitagawa, Mihai Popa, Ping Zhong
We study freely infinitely divisible -diagonal elements in the unbounded setting and Brown measures for free additive perturbations by such elements. This class includes circula…
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…
Asymptotic free independence and entry permutations for Gaussian random matrices. Part II: Infinitesimal freeness
M. Popa, K. Szpojankowski, P. -L. Tseng
We study asymptotic infinitesimal distributions of Gaussian Unitary Ensembles with permuted entries. We show that for random uniform permutations, the asymptotically permuted GUE m…
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski
Mihai Popa
A recent work by A. Mandarino, T. Linowski and K. Życzkowski left open the following question. If is a certain permutation of entries of a matrix ("mixin…
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…
Asymptotic --distribution of permuted Haar unitary matrices
James A. Mingo, Mihai Popa, Kamil Szpojankowski
We study Haar unitary random matrices with permuted entries. For a sequence of permutations , where acts on matrices we identify conditions un…