Varun Jog, University of Wisconsin-Madison, Reverse Euclidean and Gaussian isoperimetric inequalities for parallel sets with applications
The r-parallel set of a measurable set A is the set of all points whose distance from A is at most r. In this talk, we discuss some recent results that establish upper bounds on the Euclidean and Gaussian surface areas of r-parallel sets. We also discuss a reverse form of the Brunn-Minkowski inequality for…