Unimodality of the freely selfdecomposable probability laws

DOI10.1007/s10959-015-0595-yzbMath1362.46066arXiv1309.6776OpenAlexW1991717807MaRDI QIDQ325905

Steen Thorbjørnsen, Takahiro Hasebe

Publication date: 11 October 2016

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6776

zbMATH Keywords

free convolutionfree probabilityunimodalityfree selfdecomposabilityYamazato's theorem

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Related Items (7)

On Boolean selfdecomposable distributions ⋮ Unimodality of Boolean and monotone stable distributions ⋮ Free self-decomposability and unimodality of the Fuss-Catalan distributions ⋮ On free generalized inverse Gaussian distributions ⋮ Classical scale mixtures of Boolean stable laws ⋮ Large time unimodality for classical and free Brownian motions with initial distributions ⋮ Monotone increment processes, classical Markov processes, and Loewner chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-decomposability and Lévy processes in free probability
• Addition of certain non-commuting random variables
• Addition of freely independent random variables
• Unimodality of infinitely divisible distribution functions of class L
• Stable laws and domains of attraction in free probability theory
• On the free Gamma distributions
• On the free convolution with a semi-circular distribution

This page was built for publication: Unimodality of the freely selfdecomposable probability laws