24 citations · 24 across the 6 of their papers we have counts for
13 papers
Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
We show that a translation bounded measure has pure point diffraction if and only if it is mean almost periodic. We then go on and show that a translation bounded measure has pure…
Continuous diffraction spectrum and the uniform vanishing of Fourier--Bohr coefficients
Nicolae Strungaru
In this paper we review the connection among continuity of the diffraction spectrum, the (uniform) vanishing of the Fourier--Bohr coefficients and the so called consistent phase fr…
Generating functions of substitutions
Aisling Pouti, Christopher Ramsey, Nicolae Strungaru
In this paper we study substitutions and some of their associated generating functions. This association takes aperiodicity to transcendence, and vice-versa. These generating funct…
On almost periodicity in crystalline measures
Jan MazáÄ, Christoph Richard, Nicolae Strungaru
Meyer defined crystalline measures as tempered distributions such that both and its Fourier transform are pure-point Radon measures of locally finite support…
The 1-2-3 conjecture for polygonal tilings
Alison Charlesworth, Christopher Ramsey, Nicolae Strungaru
The 1-2-3 conjecture has been solved positively in 2024 for finite graphs and by extension for infinite graphs which are locally finite. The solution is non-constructive, and findi…
On the spectrum of non-ergodic measures
Michael Francis, Christopher Ramsey, Nicolae Strungaru
Consider a topological dynamical system where the group is abelian and the topologies are locally compact and second-countable. Given an invariant measure for this system, we show…