Superconvergence in free probability limit theorems for arbitrary triangular arrays

DOI10.1090/proc/16033OpenAlexW4221163607WikidataQ113822886 ScholiaQ113822886MaRDI QIDQ5039249

Hari Bercovici, Jiun-Chau Wang, Ping Zhong, Ching-Wei Ho

Publication date: 12 October 2022

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

Full work available at URL: https://arxiv.org/abs/2202.02240

zbMATH Keywords

free convolutionsuperconvergence

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Related Items (1)

Superconvergence and regularity of densities in free probability

Cites Work

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• Asymptotic expansions in the CLT in free probability
• Local limit theorems for multiplicative free convolutions
• On the supports of measures in free multiplicative convolution semigroups
• Superconvergence to freely infinitely divisible distributions
• Superconvergence to the central limit and failure of the Cramér theorem for free random variables
• On superconvergence of sums of free random variables
• The norm of products of free random variables
• A free analogue of Hincin’s characterization of infinite divisibility
• Hinčin's Theorem for Multiplicative Free Convolution
• Supports of Measures in a Free Additive Convolution Semigroup

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