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Results tagged with hausdorff-measure
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user 71104
Questions about Hausdorff measures, their variants (such as spherical Hausdorff measures) and generalisations.
13
votes
1
answer
1k
views
Are there any exact results for Hausdorff Measure?
The computation of the Hausdorff measure is extremely difficult due to the infimum appearing in its definition. This has made the calculation of the Hausdorff measure for nearly all fractals difficult …
2
votes
1
answer
620
views
Results for Hausdorff Measure after Linear Transformation
For the Sierpinski Triangle, $S$, the $d$ dimensional Hausdorff measure is given by, $H^{d}(S)$. If a linear transformation, $W$ is applied to $S$, with
$$W(x,y)=\begin{bmatrix} 1/2 & 0 \\ 0 & 1 \end …