2 citations · 2 across the 7 of their papers we have counts for
Showing math.OAShow all
3 papers · 1 filter
math.OA2024
Post-Hopf algebra in non-commutative probability theory
Nicolas Gilliers
We study -operators and post-Lie products over the same Lie algebra compatible in a certain sense. We prove that the group product corresponding to the formal integrat…
math.OA2023
Combinatorics of cyclic-conditional freeness
Octavio Arizmendi, Guillaume Cébron, Nicolas Gilliers
This work investigates the combinatorial structures underlying cyclic conditional freeness and introduces cumulants that serve to linearize the cyclic conditional additive convolut…
math.OA2021
On the twisted factorization of the -transform
Kurusch Ebrahimi-Fard, Nicolas Gilliers
The amalgamated -transform of a non-commutative distribution was introduced by K.~Dykema. It provides a fundamental tool for computing distributions of random variables in Voicu…