151 citations · 518 across the 50 of their papers we have counts for
51 papers
Maximality and completeness of orthogonal exponentials on the cube
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
It is possible to have a packing by translates of a cube that is maximal (i.e.\ no other cube can be added without overlapping) but does not form a tiling. In the long running anal…
Difference sets and positive exponential sums II: cubic residues in cyclic groups
Mate Matolcsi, Imre Z. Ruzsa
By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set in cyclic groups $\ZZ_q$ such that the difference set avoid…
The fractional chromatic number of the plane is at least 4
Máté Matolcsi, Imre Z. Ruzsa, Dániel Varga +1
We prove that the fractional chromatic number of the unit distance graph of the Euclidean plane is greater than or equal to . Interestingly, however, we canno…
Tiling and weak tiling in
Gergely Kiss, Dávid Matolcsi, Máté Matolcsi +1
We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary -groups , we introduce an averaging pro…
Spectral sets and weak tiling
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
A set is said to be spectral if the space admits an orthogonal basis of exponential functions. Fuglede (1974) conjectured that is spectral if a…
The density of planar sets avoiding unit distances
Gergely Ambrus, Adrián Csiszárik, Máté Matolcsi +2
By improving upon previous estimates on a problem posed by L. Moser, we prove a conjecture of Erdős that the density of any measurable planar set avoiding unit distances cannot exc…