Classical and free infinite divisibility for Boolean stable laws

DOI10.1090/S0002-9939-2014-12111-3zbMath1302.46052arXiv1205.1575OpenAlexW2065191219MaRDI QIDQ5401504

Octavio Arizmendi, Takahiro Hasebe

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1575

zbMATH Keywords

Boolean stable lawfree stable lawfree multiplicative convolutionBoolean convolutionfree infinite divisibility

Mathematics Subject Classification ID

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

Related Items (10)

Regularity results for free Lévy processes ⋮ Log-unimodality for free positive multiplicative Brownian motion ⋮ On the free Lévy measure of the normal distribution ⋮ Unimodality of Boolean and monotone stable distributions ⋮ Free self-decomposability and unimodality of the Fuss-Catalan distributions ⋮ On free generalized inverse Gaussian distributions ⋮ Boolean convolutions and regular variation ⋮ Classical scale mixtures of Boolean stable laws ⋮ Classification and GNS-construction for general universal products ⋮ Monotone increment processes, classical Markov processes, and Loewner chains

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