18 citations · 31 across the 8 of their papers we have counts for
4 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…
Measuring sets with translation invariant Borel measures
András Máthé
Following Davies, Elekes and Keleti, we study measured sets, i.e. Borel sets in (or in a Polish group) for which there is a translation invariant Borel measure ass…
Restrictions of Hölder continuous functions
Omer Angel, Richárd Balka, András Máthé +1
For let denote the supremum of the numbers such that every -Hölder continuous function is of bounded variation on a set of Hausdorff dimension . Kahane and…
Measurable circle squaring
Łukasz Grabowski, András Máthé, Oleg Pikhurko
Laczkovich proved that if bounded subsets and of have the same non-zero Lebesgue measure and the box dimension of the boundary of each set is less than , then ther…