Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases
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Wright State University / OhioLINK
2020
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-wright15883116337671372021-08-03T07:14:50Z Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases Shaw, Vincent T. Mathematics deleted digits Cantor sets Gaussian integer bases 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. 2020-05-18 English text Wright State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137 http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Mathematics deleted digits Cantor sets Gaussian integer bases |
| spellingShingle |
Mathematics deleted digits Cantor sets Gaussian integer bases Shaw, Vincent T. Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases |
| author |
Shaw, Vincent T. |
| author_facet |
Shaw, Vincent T. |
| author_sort |
Shaw, Vincent T. |
| title |
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases |
| title_short |
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases |
| title_full |
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases |
| title_fullStr |
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases |
| title_full_unstemmed |
Intersections of Deleted Digits Cantor Sets with Gaussian Integer Bases |
| title_sort |
intersections of deleted digits cantor sets with gaussian integer bases |
| publisher |
Wright State University / OhioLINK |
| publishDate |
2020 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=wright1588311633767137 |
| work_keys_str_mv |
AT shawvincentt intersectionsofdeleteddigitscantorsetswithgaussianintegerbases |
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1719457299963052032 |