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Hopf algebras and the logarithm of the S-transform in free probability โ€• Extended abstract

Hopf algebras and the logarithm of the S-transform in free probability โ€• Extended 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.