1 citations · 2 across the 7 of their papers we have counts for
10 papers
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…
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…
Splitting for integer tilings
Izabella Łaba, Itay Londner
We consider translational integer tilings by finite sets . We introduce a new method based on \emph{splitting}, together with a new combinatorial interpretation…
The Coven-Meyerowitz tiling conditions for 3 prime factors: the even case
Izabella Laba, Itay Londner
We consider finite sets tiles the integers by translations. By periodicity, any such tiling is equivalent to a factorization of a fini…
The Coven-Meyerowitz tiling conditions for 3 odd prime factors
Izabella Laba, Itay Londner
It is well known that if a finite set tiles the integers by translations, then the translation set must be periodic, so that the tiling is equivalent to a fact…
Combinatorial and harmonic-analytic methods for integer tilings
Izabella Laba, Itay Londner
A finite set of integers tiles the integers by translations if can be covered by pairwise disjoint translated copies of . Restricting attention to one tiling pe…
Optimal arithmetic structure in exponential Riesz sequences
Itay Londner
We consider exponential systems for . It has been shown by Londner and Olevskii in [9] that there exists a su…
On syndetic Riesz sequences
Marcin Bownik, Itay Londner
Applying the solution to the Kadison-Singer problem, we show that every subset of the torus of positive Lebesgue measure admits a Riesz sequence of exponentials $\lef…
Riesz sequences and generalized arithmetic progressions
Itay Londner
The purpose of this note is to verify that the results attained in [6] admit an extension to the multidimensional setting. Namely, for subsets of the two dimensional torus we find…
Riesz sequences and arithmetic progressions
Itay Londner, Alexander Olevskii
Given a set of positive measure on the circle and a set of integers , one may consider the family of exponentials $E\left(Λ\right):=\left\{ e^{iλt}\right\}_{λ\inΛ}…