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20072026
most citedPure Point spectrum for measure dynamical systems on locally compact Abelian groups

41 citations · 310 across the 48 of their papers we have counts for

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6 papers · 1 filter

math-ph2026

Eberlein convolution as an inner product and quantitative Bombieri--Taylor results

Daniel Lenz, Nicolae Strungaru

We present a simple argument providing a very general Bombieri--Taylor-type result to compute Bragg peaks in diffraction theory as limits. At its abstract core the argument relies…

math-ph2026

Pseudorandomness and Diffraction

David Damanik, Nicolae Strungaru

Pseudorandom structures are structures that behave like random ones, without necessarily being random themselves. It is a prominent, and evidently very difficult, conjecture that $…

math.FA2026

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…

math.FA2026

On almost periodicity in crystalline measures

Jan Mazáč, 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. H…

math.CO2026

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…

math.DS2026

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…