Moments of quantum Lévy areas using sticky shuffle Hopf algebras

We study a family of quantum analogs of Lévy's stochastic area for planar Brownian motion depending on a variance parameter σ≥1 which deform to the classical Lévy area as σ→∞. They are defined as second rank iterated stochastic integrals against the components of planar Brownian motion, which a...

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Bibliographic Details
Main Authors: Hudson, R, Schauz, U, Wu, Y
Format: Journal article
Language:English
Published: European Mathematical Society Publishing House 2018