Algebraic structures for cumulants in non-commutative probability theory

  • Kurusch Ebrahimi-Fard (Norwegian University of Science and Technology, Trondheim)
E1 05 (Leibniz-Saal)


In this talk, we will discuss several algebraic structures relevant to the concise description of relations between the R- and S-transforms in non-commutative probability theory. This includes shuffle, pre- and post-Lie algebras. We will focus on Dykema’s so-called twisted factorisation formula for Voiculescu's S-transform, which can be understood in an operadic framework.

Based on joint work F. Patras (CNRS, Nice, FR) and N. Gilliers (IMT, Toulouse, FR).

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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