151 citations · 518 across the 50 of their papers we have counts for
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A note on the pyjama problem
R. D. Malikiosis, M. Matolcsi, I. Z. Ruzsa
This note concerns the so-called pyjama problem, whether it is possible to cover the plane by finitely many rotations of vertical strips of half-width . We first prove…
Difference sets and positive exponential sums I. General properties
Mate Matolcsi, Imre Z. Ruzsa
We describe general connections between intersective properties of sets in Abelian groups and positive exponential sums. In particular, given a set the maximal size of a set wh…
The problem of mutually unbiased bases in dimension 6
Philippe Jaming, Mate Matolcsi, Peter Mora
We outline a discretization approach to determine the maximal number of mutually unbiased bases in dimension 6. We describe the basic ideas and introduce the most important definit…
Real and complex unbiased Hadamard matrices
Mate Matolcsi, Imre Z. Ruzsa, Mihaly Weiner
We use combinatorial and Fourier analytic arguments to prove various non-existence results on systems of real and complex unbiased Hadamard matrices. In particular, we prove that a…
Sets with no solutions to
Mate Matolcsi, Imre Z. Ruzsa
This short note gives an upper bound on the measure of sets such that has no solutions in .