Hausdorrff Dimension of the Subsets of Perturbed Cantor Sets
Bo Li
Abstract
Bo Li
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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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)