论文标题
爆米花图的尺寸
Dimensions of the popcorn graph
论文作者
论文摘要
“爆米花函数”是“爆米花函数”，是具有许多有趣功能的真实分析中的一个众所周知且重要的例子。我们证明爆米花函数图的框尺寸为4/3，并且计算Assouad dimension和Assouad Spectrum。主要的成分包括二芬太汀近似值的达芬链甲型类型估计值和概率理论中的不平等现象。
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.
