5 citations · 14 across the 9 of their papers we have counts for
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math.OA2024
-transform in Finite Free Probability
Octavio Arizmendi, Katsunori Fujie, Daniel Perales +1
We present a simplified explanation of why free fractional convolution corresponds to the differentiation of polynomials, by finding how the finite free cumulants of a polynomial b…
math.OA2021
On the anti-commutator of two free random variables
Daniel Perales
Let denote the sequence of free cumulants of a random variable in a non-commutative probability space . Based on some considerations on bi…
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…