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arxiv: 1207.7258 · v1 · pith:JJ6TRLJKnew · submitted 2012-07-31 · 🧮 math.PR · math.OA

Free Infinite Divisibility for Ultrasphericals

classification 🧮 math.PR math.OA
keywords distributiondivisibilityfreeanotherbyproductclassicaldivisiblefreely
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We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infnite divisibility of the classical Gaussian distribution.

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