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math.OA2024
The Kummer distribution in free probability, and its characterizations
Marcin Świeca
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…
math.OA2021
The Matsumoto-Yor property in free probability via subordination and Boolean cumulants
Marcin Świeca
We study the Matsumoto-Yor property in free probability. We prove three characterizations of free-GIG and free Poisson distributions by freeness properties together with some assum…