New limit theorems related to free multiplicative convolution

DOI10.4064/sm214-3-4zbMath1280.46044arXiv1103.6156OpenAlexW1970492529MaRDI QIDQ4920575

Hiroaki Yoshida, Noriyoshi Sakuma

Publication date: 21 May 2013

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6156

zbMATH Keywords

limit theoreminfinite divisibilityfree convolutionsBoolean convolutionLambert's \(W\)-function

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Random matrices (algebraic aspects) (15B52)

Related Items (4)

A survey on the effects of free and Boolean convolutions on Cauchy-Stieltjes kernel families ⋮ Some properties of the free stable distributions ⋮ BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES ⋮ Limit theorems for free Lévy processes

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