An algorithm for approximating Hausdorffmeasure of uniform Cantor sets

摘要

A kind of Hausdorff measure can be defined by using the entropyand this measure can be applied to the study of compact sets. Theauthor established a combinatorial formula for a large class of Hausdorffmeasures. In this paper, we develop an algorithm for approximating theHausdorff measure of uniform Cantor sets and prove the validity of thealgorithm.