Steen Pedersen, Jason D. Phillips
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.
Key concepts: Cantor function, Hausdorff measure, Mathematics, Cantor set, Measure (data warehouse), Outer measure, σ-finite measure, Cantor's diagonal argument