Cumulants for finite free convolution
Combinatorics
2017-03-09 v2 Operator Algebras
Abstract
In this paper we define cumulants for finite free convolution. We give a moment-cumulant formula and show that these cumulants satisfy desired properties: they are additive with respect to finite free convolution and they approach free cumulants as the dimension goes to infinity.
Cite
@article{arxiv.1611.06598,
title = {Cumulants for finite free convolution},
author = {Octavio Arizmendi and Daniel Perales},
journal= {arXiv preprint arXiv:1611.06598},
year = {2017}
}
Comments
17 pages, v2: Typos corrected. Added Theorem 6.5 and Proposition 6.8