Date of Completion

Spring 5-3-2018

Thesis Advisor(s)

Murat Akman

Honors Major

Applied Mathematical Sciences

Disciplines

Partial Differential Equations

Abstract

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.

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