Dimensions and spectra of the t-popcorn graphs

被引：1
|
作者：
Chen, Haipeng [1 ]
机构：
[1] Shenzhen Technol Univ, Coll Big Data & Internet, Shenzhen 518118, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 510卷 / 01期
关键词：
t-pop corn graph; t-pop corn function; Box dimension; Assouad spectrum; Assouad dimension;
D O I：
10.1016/j.jmaa.2022.126013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the dimensions and spectra of t-pop corn graphs where t is a positive finite real number. We give the explicit formulae of the box dimensions and the Assouad spectra of t-pop corn graphs for 0 < t < 2. The results follow from finer layer estimates developed by Duffin-Schaeffer type estimates and Chung-Erdos inequality in horizontal views and nonlinear collapsed views respectively related to the parameter t. (C) 2022 Elsevier Inc. All rights reserved.
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页数：19
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