Cumulants for finite free convolution

Published 20 Nov 2016 in math.CO and math.OA | (1611.06598v2)

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.

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