February 05, 2020
Math Tower P-131
|Jack Burkart, Stony Brook University|
Intro to Harmonic Measure
Harmonic meausre is a fundamental tool in modern complex analysis and harmonic analysis. In this talk, we will define harmonic measure in simply connected Jordan domains in the plane, discussing how it is related to a variety of topics including 1. The probability a random walker leaves the domain at a certain subset of the boundary 2. The solvability of the Dirichlet problem 3. Geometric properties of the domain.