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arxiv: 1612.08895 · v2 · pith:M3XE6QPDnew · submitted 2016-12-28 · 🧮 math.CA

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

classification 🧮 math.CA
keywords setscantorexacthausdorffhomogeneousmeasurepackingbehavior
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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 the natural probability measure supported on the sets.

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