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

Related Topics
Physical Sciences and Engineering Mathematics Analysis