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arxiv: 1611.06598 · v2 · pith:6YGGZYRQnew · submitted 2016-11-20 · 🧮 math.CO · math.OA

Cumulants for finite free convolution

classification 🧮 math.CO math.OA
keywords cumulantsfreeconvolutionfinitetheyadditiveapproachdefine
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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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