Gaussian random matrix models for \(q\)-deformed Gaussian variables

DOI10.1007/s002200000345zbMath1021.81025arXivmath/0007158OpenAlexW3103917713MaRDI QIDQ5940462

Piotr Śniady

Publication date: 9 August 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007158

zbMATH Keywords

\(q\)-deformed commutation relationjoint distribution of their entries is Gaussianrandom matrix models

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Random matrices (algebraic aspects) (15B52)

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Hypercontractivity in non-commutative holomorphic spaces ⋮ Asymptotic matricial models and QWEP property for \(q\)-Araki-Woods algebras ⋮ Segal-Bargmann transform: the \(q\)-deformation ⋮ Fourth moment theorem and \(q\)-Brownian chaos ⋮ A dynamical version of the SYK model and theq-Brownian motion ⋮ A dual and conjugate system for \(q\)-Gaussians for all \(q\) ⋮ Free monotone transport ⋮ A free stochastic partial differential equation ⋮ Generalized \(q\)-Gaussian von Neumann algebras with coefficients. I. Relative strong solidity

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