An Equivalent Condition for the Self Similar Sets on the Real Line to Have Best Coverings

作     者：Jian Dong YIN Zuo Ling ZHOU 

作者机构：Department of Mathematics Nanchang University Lingnan College Zhongshan University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第9期

页      面：1637-1646页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundations of China (Grant Nos. 10971236  11261039) 

主　　题：Self similar set open set condition upper convex density best covering 

摘      要：In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., Feng, L.： Twelve open problems on the exact value of the Hausdorff measure and on topological entropy： A brief survey of recent results. Nonlinearity, 17（2）, 493-502 （2004）].