4 papers
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…
Using Boolean cumulants to study multiplication and anticommutators of free random variables
Maxime Fevrier, Mitja Mastnak, Alexandru Nica +1
We study how Boolean cumulants can be used in order to address operations with freely independent random variables, particularly in connection to the -distribution of the produc…
Conditional expectations through Boolean cumulants and subordination -- towards a better understanding of the Lukacs property in free probability
Kamil Szpojankowski, Jacek Wesołowski
We use here a recent idea of studying functions of free random variables using Boolean cumulants. We develop idea of explicit calculations of conditional expectation using Boolean…