We describe a group law on formal power series in non-commuting variables in- duced by their interpretation as linear forms on a Hopf algebra of sentences. We study the corresponding structures and show how they can be used to recast in a group theoretic form various identities and transformations on formal power se- ries that have been central in the context of non-commutative probability theory. Based on a joint work with K. Ebrahimi-Fard, N. Tapia and L. Zambotti.
De Paul-André Melliès
De Paul-André Melliès
De Cyril Banderier
De Sergey Yurkevich
De Karol Penson
De Frédéric Patras
De Darij Grinberg
De Travis Scrimshaw
De Arthemy Kiselev
De Béa de Laporte
De Changliang Wang
De Dai Xianzhe
