A short note on strong convergence of q-Gaussians

DOI10.1142/s0129167x23500878arXiv2306.16679OpenAlexW4386422585MaRDI QIDQ6146143

Akihiro Miyagawa

Publication date: 10 January 2024

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.16679

zbMATH Keywords

strong convergence\(q\)-Gaussianrapid decay property

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

• An example of a generalized Brownian motion
• An example of a non nuclear C*-algebra, which has the metric approximation property
• \(q\)-Gaussian processes: Non-commutative and classical aspects
• A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
• Contractivity properties of Ornstein-Uhlenbeck semigroup for general commutation relations
• Strong Asymptotic Freeness for Free Orthogonal Quantum Groups
• Strong convergence for reduced free products
• ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)
• Haagerup's inequality and additivity violation of the Minimum Output Entropy
• Property RD and Hypercontractivity for Orthogonal Free Quantum Groups
• A random matrix approach to the Peterson-Thom conjecture
• The strong asymptotic freeness of Haar and deterministic matrices
• Parastochastics
• Operator Khintchine inequality in non-commutative probability

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