37 citations · 202 across the 38 of their papers we have counts for
4 papers · 1 filter
A new uncertainty principle at low energies
Daniel lenz, peter Stollmann
We present a new method to prove uncertainty principles for functions of low energy in a very general set-up. This leads to results for metric measure spaces, Dirichlet spaces and…
Essential spectrum and Feller type properties
Ali BenAmor, Batu Gueneysu, Peter Stollmann
We give necessary and sufficient conditions for a regular semi-Dirichlet form to enjoy a new Feller type property, which we call \emph{weak Feller property}. Our characterization i…
Metric Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
Daniel Lenz, Marcel Schmidt, Peter Stollmann
We study metric Poincaré type inequalities on general graphs. We characterize graphs satisfying such inequalities and then turn to the best constants in these inequalities. Invokin…
An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs
Daniel Lenz, Peter Stollmann, Gunter Stolz
We prove a quantitative uncertainty principle at low energies for the Laplacian on fairly general weighted graphs with a uniform explicit control of the constants in terms of geome…