All ETDs from UAB

Advisory Committee Chair

John C Mayer

Advisory Committee Members

Mubenga Nkashama

Lex Oversteegen

Document Type

Thesis

Date of Award

2017

Degree Name by School

Master of Science (MS) College of Arts and Sciences

Abstract

Laminations have proved useful in proving facts about polynomial Julia sets. In this thesis, a process by which to construct laminations for certain exponential Julia sets will be presented. This thesis will consider those exponential Julia sets where hairs are identified at a single repelling fixed point, as opposed to multiple repelling fixed points or repelling periodic points. This construction will make use of known facts about the complex exponential function and an itinerary system similar to those used in polynomial laminations.

Share

COinS