8 citations · 15 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Wiener--Wintner points for topological dynamical systems
Daniel Lenz, Nicolae Strungaru
We consider measurable and topological dynamical systems over locally compact abelian groups. Our main observation relates convergence of Wiener-Wintner type averages to eigenvalue…
Model sets with precompact Borel windows
Nicolae Strungaru
Given a cut and project scheme and a pre-compact Borel window we show that almost surely all positions of the window give rise to point sets with Besicovitch almost periodic Dirac…
Pure point spectrum for dynamical systems and mean almost periodicity
Daniel Lenz, Timo Spindeler, Nicolae Strungaru
We consider metrizable ergodic topological dynamical systems over locally compact, -compact abelian groups. We study pure point spectrum via suitable notions of almost periodici…
On arithmetic progressions in model sets
Anna Klick, Nicolae Strungaru, Adi Tcaciuc
In this project we show the existence of arbitrary length arithmetic progressions in model sets and Meyer sets in the Euclidean -space. We prove a van der Waerden type theorem f…