M. Matolcsi

activity

20012024

most citedComplex Hadamard matrices and the Spectral Set Conjecture

151 citations · 518 across the 50 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.CO2022

Tiling and weak tiling in $(Z_{p})^{d}$

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 $p$ -groups $(Z_{p})^{d}$ , we introduce an averaging pro…

math.CA2022★ 5 cited

Spectral sets and weak tiling

Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi

A set $Ω \subset R^{d}$ is said to be spectral if the space $L^{2} (Ω)$ admits an orthogonal basis of exponential functions. Fuglede (1974) conjectured that $Ω$ is spectral if a…

math.MG2022★ 4 cited

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…

Tiling and weak tiling in (Zp​)d

Spectral sets and weak tiling

The density of planar sets avoiding unit distances

Tiling and weak tiling in $(Z_{p})^{d}$