40 citations · 115 across the 27 of their papers we have counts for
4 papers · 1 filter
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…
Topological Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
Daniel Lenz, Marcel Schmidt, Peter Stollmann
We study topological Poincaré type inequalities on general graphs. We characterize graphs satisfying such inequalities and then turn to the best constants in these inequalities. In…
Geometric properties of Dirichlet forms under order isomorphisms
Daniel Lenz, Marcel Schmidt, Melchior Wirth
We study pairs of Dirichlet forms related by an intertwining order isomorphisms between the associated -spaces. We consider the measurable, the topological and the geometric s…