Connectedness of the support of a free convolution

Seminar: 
Discrete harmonic and non-commutative probabilistics analysis
Speaker: 
Hari Bercovici( Indiana University )
Date: 
Thursday, 15. June 2023 - 10:15
Room: 
603
Abstract: 
An upper bound on the number of connected components of a free convolution of measures was established recently by Moreillon and Schnelli provided that the measures being convolved have sufficiently regular densities. We argue that similar bounds hold for arbitrary probability measures. Recent insight about properties of subordination functions provide essential tools. This is joint work with S. Belinschi and C. K. Ho.