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Wick polynomials in non-commutative probability

Abstract : Wick polynomials and Wick products are studied in the context of non-commutative probability theory. It is shown that free, boolean and conditionally free Wick polynomials can be defined and related through the action of the group of characters over a particular Hopf algebra. These results generalize our previous developments of a Hopf algebraic approach to cumulants and Wick products in classical probability theory.
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Contributor : Lorenzo Zambotti <>
Submitted on : Tuesday, January 14, 2020 - 10:35:26 AM
Last modification on : Tuesday, May 26, 2020 - 6:50:08 PM

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  • HAL Id : hal-02438241, version 1
  • ARXIV : 2001.03808


K. Ebrahimi-Fard, F. Patras, Nikolas Tapia, Lorenzo Zambotti. Wick polynomials in non-commutative probability. 2020. ⟨hal-02438241⟩



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