Probabilistic Operator Algebra Seminar: Analytic subordination for bi-free convolution

Seminar | April 10 | 3-5 p.m. | 736 Evans Hall

 Yinzheng Gu, Queens University, Canada

 Department of Mathematics

We discuss some analytic properties of the additive bi-free convolution, both scalar-valued and operator-valued. We show that using the one-variable subordination functions associated with the additive free convolution, simple formulas for additive bi-free convolutions can be derived. As an application, we prove a result about atoms of the additive bi-free convolution.