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arXiv · 1504.06005

A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms

Paul Skoufranis
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Abstract

In this paper, we present a combinatorial approach to the 2-variable bi-free partial $S$- and $T$-transforms recently discovered by Voiculescu. This approach produces an alternate definition of said transforms using $(\ell, r)$-cumulants.

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Paul Skoufranis. 2015-04-22. A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms. https://doi.org/10.2140/pjm.2016.283.419

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