37 citations · 202 across the 38 of their papers we have counts for
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math-ph2002★ 4 cited
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…
math-ph2002★ 20 cited
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…
math-ph2002★ 37 cited
Delone dynamical systems and associated random operators
Daniel Lenz, Peter Stollmann
We carry out a careful study of basic topological and ergodic features of Delone dynamical systems. We then investigate the associated topological groupoids and in particular their…