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math.CA2023
New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions
Richárd Balka, Tamás Keleti
We introduce a new family of fractal dimensions by restricting the set of diameters in the coverings in the usual definition of the Hausdorff dimension. Among others, we prove that…
math.CA2023
Lipschitz images and dimensions
Richárd Balka, Tamás Keleti
We consider the question which compact metric spaces can be obtained as a Lipschitz image of the middle third Cantor set, or more generally, as a Lipschitz image of a subset of a g…