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arxiv: 1309.6776 · v3 · pith:QL5KIDNZnew · submitted 2013-09-26 · 🧮 math.PR · math.OA

Unimodality of the freely selfdecomposable probability laws

Takahiro Hasebe , Steen Thorbjornsen This is my paper
classification 🧮 math.PR math.OA
keywords freelyprobabilityselfdecomposableanalogfreelawsprobabprobabilistic
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We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato's result in [Ann. Probab. 6 (1978), 523-531].

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