> Details

Ebrahimi-Fard, Kurusch [Author]; Patras, Frédéric [Author]; Tapia, Nikolas [Author]; Zambotti, Lorenzo [Author]

Wick polynomials in non-commutative probability: A group-theoretical approach - [published Version]

Reference
management

Bookmarks

Remove from
bookmarks

Share this on Whatsapp

Close

Bookmarks



You can manage bookmarks using lists, please log in to your user account for this.
  • Media type: E-Book; Report; Text
  • Title: Wick polynomials in non-commutative probability: A group-theoretical approach
  • Contributor: Ebrahimi-Fard, Kurusch [Author]; Patras, Frédéric [Author]; Tapia, Nikolas [Author]; Zambotti, Lorenzo [Author]
  • imprint: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2020
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/8365; https://doi.org/10.20347/WIAS.PREPRINT.2677
  • ISSN: 2198-5855
  • Keywords: shuffle algebra ; group actions ; boolean cumulants ; free cumulants ; combinatorial Hopf algebra ; formal power series ; monotone cumulants ; Wick polynomials
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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.
  • Access State: Open Access