151 citations
- University of WarwickGB4 papers
- Max Planck Institute for the Physics of Complex SystemsDE3 papers
- University of South AfricaZA3 papers
- Charles UniversityCZ2 papers
- Durham UniversityGB2 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ2 papers
- Technische Universität BerlinDE2 papers
- Technische Universität DresdenDE2 papers
- Bielefeld UniversityDE1 paper
- California Polytechnic State UniversityUS1 paper
- CEA Paris-SaclayFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
4 papers · 1 filter
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…
On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
Vadim Kostrykin, Ivan Veselic
The present paper is devoted to the study of spectral properties of random Schroedinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate f…
An ergodic theorem for Delone dynamical systems and existence of the integrated density of states
Daniel Lenz, Peter Stollmann
We study strictly ergodic Delone dynamical systems and prove an ergodic theorem for Banach space valued functions on the associated set of pattern classes. As an application, we pr…
Algebras of random operators associated to Delone dynamical systems
D. Lenz, P. Stollmann
We carry out a careful study of operator algebras associated with Delone dynamical systems. A von Neumann algebra is defined using noncommutative integration theory. Features of th…