2008•Analysis in Theory and ApplicationsRequires access

On the exact Hausdorff measure of a class of self-similar sets satisfying open set condition

Shaoyuan Xu, Weiyi Su, Zuoling Zhou

Abstract

In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition (OSC). As applications, we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.

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Available abstract

Key concepts: Hausdorff measure, Mathematics, Outer measure, Hausdorff space, Class (philosophy), Measure (data warehouse), Simple (philosophy), Open set