18 citations · 31 across the 8 of their papers we have counts for
5 papers · 1 filter
Inhomogeneous self-similar sets with overlaps
Simon Baker, Jonathan M. Fraser, András Máthé
It is known that if the underlying iterated function system satisfies the open set condition, then the upper box dimension of an inhomogeneous self-similar set is the maximum of th…
Answer to a question of Kolmogorov
Richárd Balka, Márton Elekes, András Máthé
More than 80 years ago Kolmogorov asked the following question. Let be a measurable set with , where denotes the two-dimensional…
Generalized Hausdorff measure for generic compact sets
Richárd Balka, András Máthé
Let be a Polish space. We prove that the generic compact set (in the sense of Baire category) is either finite or there is a continuous gauge function such t…
Hausdorff dimension of metric spaces and Lipschitz maps onto cubes
Tamás Keleti, András Máthé, Ondřej Zindulka
We prove that a compact metric space (or more generally an analytic subset of a complete separable metric space) of Hausdorff dimension bigger than can be always mapped onto a…
Can we assign the Borel hulls in a monotone way?
Márton Elekes, András Máthé
A \emph{hull} of is a set containing such that . We investigate all four versions of the following problem. Does there exist a monotone (wr…