An analogue of Hinčin's characterization of infinite divisibility for operator-valued free probability

DOI10.1016/j.jfa.2014.04.006zbMath1308.46070arXiv1110.2691OpenAlexW2963990574MaRDI QIDQ2253294

John D. Williams

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2691

zbMATH Keywords

limit theoremsfree probability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (1)

Analytic function theory for operator-valued free probability

Cites Work

• Infinite divisibility and a non-commutative Boolean-to-free Bercovici-Pata bijection
• A Khintchine decomposition for free probability
• Addition of certain non-commuting random variables
• Processes with free increments
• Free analysis questions II: The Grassmannian completion and the series expansions at the origin
• On the Power of Linear Dependencies
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• A free analogue of Hincin’s characterization of infinite divisibility
• Hinčin's Theorem for Multiplicative Free Convolution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An analogue of Hinčin's characterization of infinite divisibility for operator-valued free probability