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math.OA2017
On free Generalized Inverse Gaussian distributions
Takahiro Hasebe, Kamil Szpojankowski
We study here properties of free Generalized Inverse Gaussian distributions (fGIG) in free probability. We show that in many cases the fGIG shares similar properties with the class…
math.OA2017
Quantum Bernstein's Theorem and the Hyperoctahedral Quantum Group
Paweł Józiak, Kamil Szpojankowski
We study an extension of Bernstein's theorem to the setting of quantum groups. For a d-tuple of free, identically distributed random variables we consider a problem of preservation…