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2013•arXiv (Cornell University)Open access

Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets

Steen Pedersen, Jason D. Phillips

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Abstract

We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.

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We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.

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Available abstract

We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.

Key concepts: Hausdorff measure, Measure (data warehouse), Outer measure, Cantor function, σ-finite measure, Mathematics, Cantor set, Hausdorff space

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