Analysis Seminar
Monday, March 3, 2014 - 2:30pm
Malott 406
We first survey the relation between the classical isoperimetric problem, the isoperimetric problem for the Gaussian measure, and the Ornstein-Uhlenbeck operator. We then describe a generalization of these isoperimetric problems to multiple sets, which was posed by Isaksson and Mossel. Next, we briefly describe a proof of a very specific case of this conjecture of Isaksson and Mossel. Our proof uses Hermite-Fourier analysis and specific Gaussian heat kernel bounds. If time permits, we will describe applications to theoretical computer science, which provided the impetus for the above conjecture.