Title of article
Hausdorff dimension of fiber-coding sub-Sierpinski carpets
Author/Authors
Yongxin Gui، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
7
From page
62
To page
68
Abstract
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.
© 2006 Elsevier Inc. All rights reserved
Keywords
Sierpinski carpets , Hausdorff dimension , Hausdorff measure , Packing measure , Packing dimension
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935747
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