A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms
Operator Algebras
2016-07-06 v1 Probability
Abstract
In this paper, we present a combinatorial approach to the 2-variable bi-free partial - and -transforms recently discovered by Voiculescu. This approach produces an alternate definition of said transforms using -cumulants.
Cite
@article{arxiv.1504.06005,
title = {A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms},
author = {Paul Skoufranis},
journal= {arXiv preprint arXiv:1504.06005},
year = {2016}
}