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arXiv · 0910.1199

Free infinite divisibility and free multiplicative mixtures of the Wigner distribution

Victor Perez-Abreu·Noriyoshi Sakuma
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Abstract

We find necessary and sufficient conditions for the free additive infinite divisibility of some free multiplicative convolutions with the Wigner, the arcsine, the free Poisson and other distributions, including explicit examples.

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Victor Perez-Abreu, Noriyoshi Sakuma. 2009-10-07. Free infinite divisibility and free multiplicative mixtures of the Wigner distribution. https://arxiv.org/abs/0910.1199

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