Cumulants for finite free convolution
arXiv:1611.06598
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.
arXiv comment17 pages, v2: Typos corrected. Added Theorem 6.5 and Proposition 6.8