2008Science Technology and EngineeringRequires access

Hausdorrff Dimension of the Subsets of Perturbed Cantor Sets

Bo Li

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Abstract

The property of Hausdorff dimension for the subset BP(ω)of a perturbed Cantor set E(ω)associated with ω in compatible case and incompatible case is discussed,then the exact value of the Hausdorff dimension of BP(ω)is obtained.

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What this paper is about

The property of Hausdorff dimension for the subset BP(ω)of a perturbed Cantor set E(ω)associated with ω in compatible case and incompatible case is discussed,then the exact value of the Hausdorff dimension of BP(ω)is obtained.

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Available abstract

The property of Hausdorff dimension for the subset BP(ω)of a perturbed Cantor set E(ω)associated with ω in compatible case and incompatible case is discussed,then the exact value of the Hausdorff dimension of BP(ω)is obtained.

Key concepts: Hausdorff dimension, Packing dimension, Cantor function, Mathematics, Cantor set, Effective dimension, Minkowski–Bouligand dimension, Dimension (graph theory)

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