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The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space

The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space

Let E be a Borel set of R N . The α -outer Hausdorff measure of E has been defined to be where and each B i is a closed ball. d(B i ) denotes the diameter of B i . It is easily seen that the same value H …