An equivalent condition for the self similar sets on the real line to have best coverings

Authors
Yin, Jian Dong Zhou, Zuo Ling
Citation
Yin, Jian Dong et Zhou, Zuo Ling, An equivalent condition for the self similar sets on the real line to have best coverings, Acta mathematica Sinica. English series (Print) , 29(9), 2013, pp. 1637-1646
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
9
Year of publication
2013
Pages
1637 - 1646
Database
ACNP
SICI code
Abstract
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)].