151 citations
- Max Planck Institute for the Physics of Complex SystemsDE6 papers
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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.MG2002★ 1 cited
Aperiodic linearly repetitive Delone sets are densely repetitive
Daniel Lenz
We show that aperiodic linearly repetitive Delone sets are densely repetitive. This confirms a conjecture of Lagarias and Pleasants.