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Results tagged with hausdorff-dimension
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user 50455
Questions about dimensions of possibly highly irregular or "rough" sets, Hausdorff–Besicovitch dimension and related concepts such as box-counting or Minkowski–Bouligand dimension.
4
votes
1
answer
174
views
Existence of an $\alpha$-Hölder continuous function whose graph has positive Hausdorff measu...
It is standard that if $f:[0,1] \rightarrow \mathbb{R}$ is $\alpha$-Hölder continuous, then its graph has Hausdorff dimension at most $2-\alpha$. My naive expectation was that "most" graphs of $\alpha …
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