23 citations · 43 across the 5 of their papers we have counts for
5 papers
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…
Graphs at infinity: Liouville theorems, Recurrence and Characterization of Dirichlet forms
Matthias Keller, Daniel Lenz, Marcel Schmidt
We survey recent results on graphs and their Laplacians related to the behavior of the graph at large. In particular, we focus on Liouville theorems, recurrence and characterizatio…
Aperiodic order and pure point diffraction
Daniel Lenz
We give a leisurely introduction into mathematical diffraction theory with a focus on pure point diffraction. In particular, we discuss various characterisations of pure point diff…
Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature
S. Klassert, D. Lenz, N. Peyerimhoff +1
This paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curva…
Discontinuities of the integrated density of states for random operators on Delone sets
Steffen Klassert, Daniel Lenz, Peter Stollmann
Despite all the analogies with "usual random" models, tight binding operators for quasicrystals exhibit a feature which clearly distinguishes them from the former: the integrated d…