Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract

Mitja Mastnak 1 Alexandru Nica 2
1 Halifax - Department of Mathematics and Computing Science
2 Department of Pure Mathematics [Waterloo]
Abstract : 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.
Keywords : non-crossing partition symmetric function Hopf algebra free probability
Type de document :
Communication dans un congrès
Krattenthaler, Christian and Strehl, Volker and Kauers, Manuel. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp.623-634, 2009, DMTCS Proceedings
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Mitja Mastnak, Alexandru Nica. Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract. Krattenthaler, Christian and Strehl, Volker and Kauers, Manuel. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp.623-634, 2009, DMTCS Proceedings. 〈hal-01185371〉

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