Free self-decomposability and unimodality of the Fuss-Catalan distributions

DOI10.1007/s10955-020-02488-1zbMath1451.46056arXiv1908.07887OpenAlexW3101822792WikidataQ126317257 ScholiaQ126317257MaRDI QIDQ1984813

Yuki Ueda, Noriyoshi Sakuma, Wojciech Młotkowski

Publication date: 7 April 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07887

zbMATH Keywords

unimodalityfree cumulantsVoiculescu transformfree self-decomposabilityfree infinite divisibilityfree cumulant transformfree \(L_1\)free Lévy measuresfree regularityFuss-Catalan distributions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Free probability and free operator algebras (46L54)

Related Items (4)

Selfsimilar free additive processes and freely selfdecomposable distributions ⋮ On Boolean selfdecomposable distributions ⋮ Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

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