Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622945 | Journal of Mathematical Analysis and Applications | 2007 | 7 Pages |
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.
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