13 citations · 39 across the 22 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.OA2019
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…
math.OA2019★ 3 cited
Boolean Cumulants and Subordination in Free Probability
Franz Lehner, Kamil Szpojankowski
We study subordination of free convolutions. We prove that for free random variables and a Borel function the conditional expectation $E_φ\left[ (z-X-f(X)Yf^*(X))^{-1}| X…
math.OA2019
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…