On multiplication in \(q\)-Wiener chaoses

DOI10.1214/17-ECP104zbMath1397.46050OpenAlexW4300343362MaRDI QIDQ1748547

René Schott, Aurélien Deya

Publication date: 11 May 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ecp/1515467249

zbMATH Keywords

\(q\)-Brownian motionnon-commutative stochastic calculus\(q\)-Wiener chaos

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Stochastic integrals (60H05) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Fourth moment theorem and \(q\)-Brownian chaos
• An example of a generalized Brownian motion
• Limit laws for random matrices and free products
• Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
• \(q\)-Gaussian processes: Non-commutative and classical aspects
• On stochastic calculus with respect to \(q\)-Brownian motion
• Stochastic integration with respect to \(q\) Brownian motion
• The Malliavin Calculus and Related Topics
• Lectures on the Combinatorics of Free Probability
• A Course in Enumeration
• Gaussian Hilbert Spaces
• Feynman diagrams and Wick products associated withq-Fock space
• Parastochastics

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