- Robert Smits
- University of Alabama, Tuscaloosa
- Date: Sept. 25, Wednesday, 2024
- Time: 11:00am -- 11:50am
- Host: Erkan Nane
- Room: Parker 328
- 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.