The Kummer distribution in free probability, and its characterizations

Published 19 Jun 2024 in math.OA | (2406.13475v1)

Abstract: We study the analogue of Kummer distribution in free probability. We prove characterization of free-Kummer and free Poisson distributions by freeness properties together with some assumptions about conditional moments. Our main tools are subordination of free multiplicative convolution and Boolean cumulants.

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Marcin Świeca

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