Hausdorff dimension of fiber-coding sub-Sierpinski carpets

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