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

Year Degree Awarded

2020


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