Intersections of Deleted Digits Cantor Sets With Their Translates
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| Language: | English |
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Wright State University / OhioLINK
2011
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=wright1308100597 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-wright13081005972021-08-03T06:17:13Z Intersections of Deleted Digits Cantor Sets With Their Translates Phillips, Jason D. Mathematics deleted digits Cantor sets fractals fractal dimension fractional dimension We define a family of deleted digits Cantor sets which satisfy specific constraints on the generating set of digits. We explore the structure and dimension of the intersection of a deleted digits Cantor set with its translate by a real value t. These results apply directly to the traditional Middle Thirds Cantor set as well as regular and uniform Cantor sets. We show that this family includes certain irregular sets which have not been previously analyzed. Our methods not only reveal the upper and lower bounds for the Minkowskidimension, but also uncover a formula for calculating the dimension of these intersections when specific conditions are met. 2011-06-15 English text Wright State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=wright1308100597 http://rave.ohiolink.edu/etdc/view?acc_num=wright1308100597 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 fractals fractal dimension fractional dimension |
| spellingShingle |
Mathematics deleted digits Cantor sets fractals fractal dimension fractional dimension Phillips, Jason D. Intersections of Deleted Digits Cantor Sets With Their Translates |
| author |
Phillips, Jason D. |
| author_facet |
Phillips, Jason D. |
| author_sort |
Phillips, Jason D. |
| title |
Intersections of Deleted Digits Cantor Sets With Their Translates |
| title_short |
Intersections of Deleted Digits Cantor Sets With Their Translates |
| title_full |
Intersections of Deleted Digits Cantor Sets With Their Translates |
| title_fullStr |
Intersections of Deleted Digits Cantor Sets With Their Translates |
| title_full_unstemmed |
Intersections of Deleted Digits Cantor Sets With Their Translates |
| title_sort |
intersections of deleted digits cantor sets with their translates |
| publisher |
Wright State University / OhioLINK |
| publishDate |
2011 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=wright1308100597 |
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AT phillipsjasond intersectionsofdeleteddigitscantorsetswiththeirtranslates |
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