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

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.
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Mitja Mastnak, Alexandru Nica. Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.623-634. ⟨hal-01185371⟩

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