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OHIOLinkIntersectionsDeletedDigitsCantorSetsGaussBases copy.pdf (1.06 MB)
ETD Abstract Container
Abstract Header
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases
Author Info
Shaw, Vincent T.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137
Abstract Details
Year and Degree
2020, Master of Science (MS), Wright State University, Mathematics.
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.
Committee
Steen Pedersen, Ph.D. (Advisor)
Qingbo Huang, Ph.D. (Committee Member)
Anthony Evans, Ph.D. (Committee Member)
Ayse Sahin, Ph.D. (Other)
Pages
44 p.
Subject Headings
Mathematics
Keywords
deleted digits Cantor sets
;
Gaussian integer bases
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Citations
Shaw, V. T. (2020).
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases
[Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137
APA Style (7th edition)
Shaw, Vincent.
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases.
2020. Wright State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137.
MLA Style (8th edition)
Shaw, Vincent. "Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases." Master's thesis, Wright State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137
Chicago Manual of Style (17th edition)
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Document number:
wright1588311633767137
Download Count:
174
Copyright Info
© 2020, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.