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arxiv: 0910.1199 · v2 · pith:C2ZW2EPKnew · submitted 2009-10-07 · 🧮 math.PR · math.OA

Free infinite divisibility and free multiplicative mixtures of the Wigner distribution

classification 🧮 math.PR math.OA
keywords freedivisibilityinfinitemultiplicativewigneradditivearcsineconditions
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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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