Mitja Mastnak ; Alexandru Nica - Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract

dmtcs:2679 - Discrete Mathematics & Theoretical Computer Science, January 1, 2009, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) - https://doi.org/10.46298/dmtcs.2679
Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstractArticle

Authors: Mitja Mastnak 1; Alexandru Nica 2

  • 1 Department of Mathematics and Computing Science [Halifax]
  • 2 Department of Pure Mathematics [Waterloo]

This document is an extended abstract of the paper `Hopf algebras and the logarithm of the S-transform in free probability' in which we introduce a Hopf algebraic approach to the study of the operation $\boxtimes$ (free multiplicative convolution) from free probability.

https://doi.org/10.46298/dmtcs.2679
Source: HAL:hal-01185371v1
Volume: DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
Section: Proceedings
Published on: January 1, 2009
Imported on: January 31, 2017
Keywords: non-crossing partition,symmetric function,Hopf algebra,free probability,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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