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Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous

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We compute the exact Hausdorff and packing measures of linear Cantor sets which might not be self similar or homogeneous . The calculation is based on the local behavior of… Click to show full abstract

We compute the exact Hausdorff and packing measures of linear Cantor sets which might not be self similar or homogeneous . The calculation is based on the local behavior of the natural probability measure supported on the sets.

Keywords: self similar; exact hausdorff; cantor sets; hausdorff packing; similar homogeneous

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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