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Dimensions of the popcorn graph.
- Source :
-
Proceedings of the American Mathematical Society . Nov2022, Vol. 150 Issue 11, p4729-4742. 14p. - Publication Year :
- 2022
-
Abstract
- The 'popcorn function' is a well-known and important example in real analysis with many interesting features. We prove that the box dimension of the graph of the popcorn function is 4/3, as well as computing the Assouad dimension and Assouad spectrum. The main ingredients include Duffin-Schaeffer type estimates from Diophantine approximation and the Chung-Erdős inequality from probability theory. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POPCORN
*PROBABILITY theory
*DIOPHANTINE approximation
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 150
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 159358907
- Full Text :
- https://doi.org/10.1090/proc/15729