Date of Completion
Applied Mathematical Sciences
Partial Differential Equations
The purpose of this thesis is to give a brief introduction to the field of harmonic measure. In order to do this we first introduce a few important properties of harmonic functions and show how to find a Green’s function for a given domain. Following this we calculate the harmonic measure for some easy cases and end by examining the connection between harmonic measure and Brownian motion.
McDonald, David, "Harmonic Functions and Harmonic Measure" (2018). Honors Scholar Theses. 558.