Publication Date
2020
Document Type
Thesis
Committee Members
Steen Pedersen, Ph.D. (Advisor); Qingbo Huang, Ph.D. (Committee Member); Anthony Evans, Ph.D. (Committee Member); Ayse Sahin, Ph.D. (Other)
Degree Name
Master of Science (MS)
Abstract
In this paper, the intersections of deleted digits Cantor sets and their fractal dimensions were analyzed. Previously, it had been shown that for any dimension between 0 and the dimension of the given deleted digits Cantor set of the real number line, a translate of the set could be constructed such that the intersection of the set with the translate would have this dimension. Here, we consider deleted digits Cantor sets of the complex plane with Gaussian integer bases and show that the result still holds.
Page Count
44
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
2020
Copyright
Copyright 2020, all rights reserved. My ETD will be available under the "Fair Use" terms of copyright law.
