18 citations · 31 across the 8 of their papers we have counts for
12 papers
Some Epistemic Extensions of Gödel Fuzzy Logic
D. Dastgheib, H. Farahani, A. H. Sharafi
In this paper we prove soundness and completeness of some epistemic extensions of Gödel fuzzy logic, based on Kripke models in which both propositions at each state and accessibili…
Measurable equidecompositions for group actions with an expansion property
Łukasz Grabowski, András Máthé, Oleg Pikhurko
Given an action of a group on a measure space , we provide a sufficient criterion under which two sets are measurably equidecomposable, i.e., can be pa…
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…
Measurable equidecompositions via combinatorics and group theory
Łukasz Grabowski, András Máthé, Oleg Pikhurko
We give a sketch of proof that any two (Lebesgue) measurable subsets of the unit sphere in , for , with non-empty interiors and of the same measure are equidecomposabl…
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…
Self-similar and self-affine sets; measure of the intersection of two copies
Márton Elekes, Tamás Keleti, András Máthé
Let K be a self-similar or self-affine set in R^d, let μbe a self-similar or self-affine measure on it, and let G be the group of affine maps, similitudes, isometries or translatio…