Date

2014

Major

Mathematics (B.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Faculty Mentor

Hua Wang

Abstract

Percolation theory was officially introduced in 1957 to model the flow of fluids through porous material. This topic has since been extensively studied and generalized to many applications in industry, physics and related areas. In this thesis I will demonstrate the types of questions typically asked of percolation models while discussing elements of graph theory, probability and difference equations. I will propose questions about higher dimensions while highlighting graphical methods and established theorems for two-dimensional lattices.

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