Special Session 128: 

Stability of the Gaussian Isoperimetric Problem

Marco Barchiesi
University of Naples Federico II
Italy
Co-Author(s):    Vesa Julin
Abstract:
I will present an analysis of the sets that minimize the gaussian perimeter plus the norm of the barycenter. These two terms are in competition, and in general the solutions are not the half-spaces. In fact we prove that for small masses the solutions are the complements of strips centered in the origin.