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19992004
most citedAlgebras of random operators associated to Delone dynamical systems

4 citations · 6 across the 4 of their papers we have counts for

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Showing 2002Show all

3 papers · 1 filter

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.

math-ph2002

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…