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.
Recommended Citation
Hartley, Patrick Barry, "Exponential Laminations" (2017). All ETDs from UAB. 1885.
https://digitalcommons.library.uab.edu/etd-collection/1885