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Results tagged with hausdorff-dimension
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user 496115
Questions about dimensions of possibly highly irregular or "rough" sets, Hausdorff–Besicovitch dimension and related concepts such as box-counting or Minkowski–Bouligand dimension.
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Best Hölder exponents of surjective maps from the unit square to the unit cube
Arnold posed a problem (1988-5 in "Arnold's problems") if there is a surjective map $[0,1]^2 \to [0,1]^3$ with Holder exponent $2/3$. E. V. Shchepin proved that one can get arbitrarily close to that ( …
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