Presented by: 
Joe Neeman (University of Texas Austin)
Date: 
Mon 19 May, 2:00 pm - 2:45 pm
Venue: 
Hawken Engineering Building (50), room N202

Given two correlated Gaussian vectors, X and Y, the noise stability of a set A is the probability that both X and Y fall in A. In 1985, C. Borell proved that half-spaces maximize the noise stability among all sets of a given Gaussian measure. We will give a new, and simpler, proof of this fact, along with some extensions and applications. Specifically, we will discuss hitting times for the Ornstein-Uhlenbeck process, and a noisy Gaussian analogue of the "double bubble" problem.