2 citations · 2 across the 3 of their papers we have counts for
3 papers
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…
math.CO2020
A shuffle algebra point of view on operator-valued probability theory
Nicolas Gilliers
We extend the shuffle algebra perspective on scalar-valued non-commutative probability theory to the operator-valued case. Given an operator-valued probability space with an algebr…
math.PR2020★ 2 cited
Matricial approximations of higher dimensional master fields
Nicolas Gilliers
We study matricial approximations of master fields we constructed in a previous work. These approximations (in non-commutative distribution) are obtained by extracting blocks of a…