110 citations · 1.1k across the 88 of their papers we have counts for
23 papers · 1 filter
Uniformity Aspects of Cocycles and Applications to Schrödinger Operators Defined Over Boshernitzan Subshifts
David Damanik, Daniel Lenz
We consider continuous valued cocycles over general dynamical systems and discuss a variety of uniformity notions. In particular, we provide a descripti…
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…
Modulated crystals and almost periodic measures
Jeong-Yup Lee, Daniel Lenz, Christoph Richard +2
Modulated crystals and quasicrystals can simultaneously be described as modulated quasicrystals, a class of point sets introduced by de Bruijn in 1987. With appropriate modulation…
Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs
Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda +1
We introduce a class of subshifts governed by finitely many two-sided infinite words. We call these words leading sequences. We show that any locally constant cocycle over such a s…
The structure of mean equicontinuous group actions
Gabriel Fuhrmann, Maik Gröger, Daniel Lenz
We study mean equicontinuous actions of locally compact -compact amenable groups on compact metric spaces. In this setting, we establish the equivalence of mean equicontinuity a…
Spectral theory of dynamical systems as diffraction theory of sampling functions
Daniel Lenz
We consider topological dynamical systems over $\ZZ$ and, more generally, locally compact, -compact abelian groups. We relate spectral theory and diffraction theory. We first us…