Free Probability Seminar

Date: November 3, 2014

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Paul Skoufranis, TAMU

Title: Free Probability for Pairs of Faces, II

Abstract: Last year, Voiculescu introduced the notion of bi-free independence in order to simultaneously study the left and right representations of algebras on reduced free product spaces. In this talk, we will discuss a combinatorial approach to bi-free independence. In particular, we will explicitly describe the bi-free universal polynomials of Voiculescu using LR-diagrams and define the bi-free cumulant functions via bi-non-crossing partitions. In addition, methods for constructing various types of independences in non-commutative probability theory will be discussed.