On a Conjectural Symmetric Version of the Ehrhard Inequality

Explore a 24-minute conference talk by Galyna Livshyts from Georgia Institute of Technology on a conjectural symmetric version of the Ehrhard inequality. Delve into the sharp inequality about Gaussian measure of Minkowski sum of sets and examine a proposed conjecture for symmetric and convex sets. Investigate the functional minimization on "k-round cylinders" and its connection to Gaussian perimeter of symmetric sets. Discover new lower estimates for this functional and understand the equality cases characterized as k-round cylinders. Learn about the equality cases in the general form of the Brascamp-Leib inequality on convex sets. Gain insights into the methods combining variational calculus with L2 estimates in this presentation from IPAM's Calculus of Variations in Probability and Geometry Workshop.

Galyna Livshyts - On a conjectural symmetric version of the Ehrhard inequality