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 abstractConference paper

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: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] Hopf algebra, free probability, non-crossing partition, symmetric function
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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