Hausdorff dimension of fiber-coding sub-Sierpinski carpets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:331

Article

Gui, Yongxin ; Li, Wenxia

关键词: Sierpinskii carpets;    Hausdorff dimension;    Hausdorff measure;    packing dimension;    packing measure;   

DOI  :  10.1016/j.jmaa.2006.08.071

来源: Elsevier

【 摘 要 】

In this paper we study a class of subset of Sierpinski carpets for which the allowed digits in the expansions fall into each fiber set with a prescribed frequency. We calculate the Hausdorff and packing dimensions of these subsets and give necessary and sufficient conditions for the corresponding Hausdorff and packing measures to be finite. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free