Freeness characterizations on free chaos spaces

DOI10.2140/pjm.2020.305.447zbMath1454.46060arXiv1702.07427OpenAlexW2602141773MaRDI QIDQ2181505

Solesne Bourguin, Ivan Nourdin

Publication date: 19 May 2020

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

Full work available at URL: https://arxiv.org/abs/1702.07427

zbMATH Keywords

free probabilitycharacterization of freenessfree fourth movement theoremsfree Malliavin calculusfree Poisson integralsWigner integrals

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic calculus of variations and the Malliavin calculus (60H07)

Cites Work

• Unnamed Item
• Vector-valued semicircular limits on the free Poisson chaos
• Poisson approximations on the free Wigner chaos
• Wigner chaos and the fourth moment
• Convergence in law in the second Wiener/Wigner chaos
• Poisson convergence on the free Poisson algebra
• Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
• Central limit theorems for sequences of multiple stochastic integrals
• Strong asymptotic independence on Wiener chaos
• Convergence of Wigner integrals to the tetilla law
• Free Random Variables
• Lectures on the Combinatorics of Free Probability
• Free Quantitative Fourth Moment Theorems on Wigner Space

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