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Results tagged with hausdorff-dimension
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user 5701
Questions about dimensions of possibly highly irregular or "rough" sets, Hausdorff–Besicovitch dimension and related concepts such as box-counting or Minkowski–Bouligand dimension.
7
votes
Accepted
Hausdorff dimension of a subset of Cantor set
The comments by Andreas and Anton give you the answer already to your specific question. Let me give a more general answer, since your question is very representative of a whole class of examples.
T …
- 8,903
6
votes
Accepted
Measures maximizing entropy in a set of measures with fixed average for some observable
In the setting you describe, for each $\alpha \in (0,1)$ the $(1-\alpha,\alpha)$-Bernoulli measure is the unique measure achieving the maximum. The function $\alpha \mapsto \eta(\alpha)$ is the Legen …
- 8,903