Probabilistic Operator Algebra Seminar: Monotone Increment Processes

Seminar | April 8 | 2 a.m.-4 p.m. | 736 Evans Hall

 Ian Charlesworth, NSF Postdoctoral Fellow UC Berkeley

 Department of Mathematics

Chordal Loewner equations have been shown to be connected with evolution equations for semigroups in monotone probability. I will briefly recall these connections and then discuss recent related work of Franz, Hasebe and Schleissinger which uses these connections to probability measures on $\mathbb R$ with univalent Cauchy transform and some of the analytic and geometric properties thereof. Time permitting, I will also discuss results in the multiplicative setting.