26 citations · 33 across the 7 of their papers we have counts for
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math.DS2007
Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity
Daniel Lenz
We give an introduction into diffraction theory for aperiodic order. We focus on an approach via dynamical systems and the phenomenon of pure point diffraction. We review recent re…
math.SP2007★ 1 cited
Sch'nol's Theorem For Strongly Local Forms
Anne Boutet de Monvel, Daniel Lenz, Peter Stollmann
We prove a variant of Sch'nol's theorem in a general setting: for generators of strongly local Dirichlet forms perturbed by measures. As an application, we discuss quantum graphs w…
math.DS2007★ 26 cited
Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
Michael Baake, Daniel Lenz, Christoph Richard
Delone sets of finite local complexity in Euclidean space are investigated. We show that such a set has patch counting and topological entropy 0 if it has uniform cluster frequenci…