Hinčin's theorem for additive free convolutions of tracial \(R\)-diagonal \(\ast\)-distributions

DOI10.1007/S11785-021-01166-8zbMath1492.46061OpenAlexW3217623446MaRDI QIDQ2054449

Cong Zhou

Publication date: 2 December 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01166-8

zbMATH Keywords

infinitely divisiblefree probability\(R\)-diagonal

Mathematics Subject Classification ID

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

Cites Work

• Stable laws and domains of attraction in free probability theory
• Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
• Free Random Variables
• Lectures on the Combinatorics of Free Probability
• Brown measures of unbounded operators affiliated with a finite von Neumann algebra
• $R$-diagonal pairs - a common approach to Haar unitaries and circular elements
• A free analogue of Hincin’s characterization of infinite divisibility
• Hinčin's Theorem for Multiplicative Free Convolution

This page was built for publication: Hinčin's theorem for additive free convolutions of tracial \(R\)-diagonal \(\ast\)-distributions