Publication Date
2022
Document Type
Dissertation/Thesis
First Advisor
Fletcher, Alastair N.
Degree Name
M.S. (Master of Science)
Legacy Department
Department of Mathematical Sciences
Abstract
Eremenko’s Conjecture is a long-standing problem in complex dynamics that asks whetherevery connected component of the set of escaping points of a transcendental entire function is unbounded. It was finally proven false in a paper by Mart ́ı-Pete, Lasse Rempe, and James Waterman that constructs a counterexample to the conjecture. This thesis seeks to pro- vide a background on Eremenko’s Conjecture, discuss the partial results surrounding it, and explain the construction of the counterexample in Mart ́ı-Pete, et al.’s paper.
Recommended Citation
Low, Paradise, "Counterexample to Eremenko's Conjecture" (2022). Graduate Research Theses & Dissertations. 7378.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/7378
Extent
69 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
