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The Normal Distribution Is Freely Self-decomposable

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Publication:5382559
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DOI10.1093/imrn/rnx171zbMath1482.46082arXiv1701.00409OpenAlexW2963541750MaRDI QIDQ5382559

Takahiro Hasebe, Steen Thorbjørnsen, Noriyoshi Sakuma

Publication date: 18 June 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00409


zbMATH Keywords

free probabilityself-decomposable distributionsAskey-Wimp-Kerov distribution


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54)


Related Items (9)

Selfsimilar free additive processes and freely selfdecomposable distributions ⋮ On Boolean selfdecomposable distributions ⋮ Unnamed Item ⋮ On the free Lévy measure of the normal distribution ⋮ Free self-decomposability and unimodality of the Fuss-Catalan distributions ⋮ On free generalized inverse Gaussian distributions ⋮ Monotone increment processes, classical Markov processes, and Loewner chains ⋮ Convolution of beta prime distribution ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications







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