Speaker: Robert Smits (Professor, University of Alabama, Tuscaloosa)

 

Title: Tug-of-War and p-Harmonic Measure

 

Abstract: We investigate p-harmonic measure, a concept that extends classical harmonic measure to the nonlinear setting of p-harmonic functions. Specifically, we focus on estimating p-harmonic measure for a class of domains which give insight into its local and global behavior. The intuition for these results is based on tug-of-war, which provides a nonlinear version of Kakutani's principle of using Brownian motion to solve the Dirichlet problem with given boundary data.

 

 

Faculty host: Erkan Nane