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Bibliographic Details
Main Authors:	Chen, Haipeng, Fraser, Jonathan M., Yu, Han
Format:	Preprint
Published:	2020
Subjects:	Metric Geometry Classical Analysis and ODEs Number Theory 28A80, 11B57
Online Access:	https://arxiv.org/abs/2007.08407
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Table of Contents:

The 'popcorn function' isThe `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.