From Ehrhard to Generalized Bobkov inequality, and more

Stochastics Seminar
Thursday, April 11, 2024 - 3:30pm for 1 hour (actually 50 minutes)
Skiles 006
Galyna Livshyts – Georgia Tech – glivshyts6@gatech.edu
Galyna Livshyts

We discuss a general scheme that allows to realize certain geometric functional inequalities as statements about convexity of some functionals, and, inspired by the work of Bobkov and Ledoux, we obtain various interesting inequalities as their realizations. For example, we draw a link between Ehrhard’s inequality and an interesting extension of Bobkov’s inequality, and several new and more general inequalities are discussed as well. In this talk we discuss a joint project with Barthe, Cordero-Erausquin and Ivanisvili, and also mention briefly some results from a joint project with Cordero-Erausquin and Rotem.