5 citations · 14 across the 9 of their papers we have counts for
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math.OA2020★ 5 cited
On operator-valued infinitesimal Boolean and monotone independence
Daniel Perales, Pei-Lun Tseng
We introduce the notion of operator-valued infinitesimal (OVI) independence for the Boolean and monotone cases. Then show that OVI Boolean (resp. monotone) independence is equivale…
math.PR2020★ 5 cited
Cumulant-cumulant relations in free probability theory from Magnus' expansion
A. Celestino, K. Ebrahimi-Fard, F. Patras +1
Relations between moments and cumulants play a central role in both classical and non-commutative probability theory. The latter allows for several distinct families of cumulants c…