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A Survey on Newhouse Thickness, Fractal Intersections and Patterns Yavicoli, Alexia
Abstract
In this article, we introduce a notion of size for sets, called the thickness, that can be used to guarantee that two Cantor sets intersect (the Gap Lemma) and show a connection among thickness, Schmidt games and patterns. We work mostly in the real line, but we also introduce the topic in higher dimensions.
Item Metadata
Title |
A Survey on Newhouse Thickness, Fractal Intersections and Patterns
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Creator | |
Publisher |
Multidisciplinary Digital Publishing Institute
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Date Issued |
2022-12-14
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Description |
In this article, we introduce a notion of size for sets, called the thickness, that can be used to guarantee that two Cantor sets intersect (the Gap Lemma) and show a connection among thickness, Schmidt games and patterns. We work mostly in the real line, but we also introduce the topic in higher dimensions.
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Subject | |
Genre | |
Type | |
Language |
eng
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Date Available |
2025-01-31
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Provider |
Vancouver : University of British Columbia Library
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Rights |
CC BY 4.0
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DOI |
10.14288/1.0447888
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URI | |
Affiliation | |
Citation |
Mathematical and Computational Applications 27 (6): 111 (2022)
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Publisher DOI |
10.3390/mca27060111
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Peer Review Status |
Reviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
CC BY 4.0