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math.CO2024
Functional tilings and the Coven-Meyerowitz tiling conditions
Gergely Kiss, Itay Londner, Máté Matolcsi +1
Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conject…
math.CA2024★ 1 cited
Spectrality of the product does not imply that the components are spectral
Gábor Somlai
Greenfeld and Lev conjectured that the Cartesian product of two sets and is spectral if and only if and are spectral. We construct a counterexample to this fact usi…
math.CO2024
A lonely weak tile
Gergely Kiss, Itay Londner, Máté Matolcsi +1
The notion of weak tiling was a key ingredient in the proof of Fuglede's spectral set conjecture for convex bodies \cite{conv}, due to the fact that every spectral set tiles its co…