Date of Completion

Spring 5-1-2018

Thesis Advisor(s)

Murat Akman

Honors Major

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.