Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies

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dc.creatorBaake, Michael
dc.creatorLenz, Daniel
dc.creatorRichard, Christoph
dc.date2007-06-12
dc.date2007-09-14
dc.date.accessioned2026-07-07T08:55:06Z
dc.date.available2026-07-07T08:55:06Z
dc.descriptionDelone 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 frequencies and is pure point diffractive. We also note that the patch counting entropy is 0 whenever the repetitivity function satisfies a certain growth restriction.
dc.description16 pages; revised and slightly expanded version
dc.identifierhttps://arxiv.org/abs/0706.1677
dc.identifierhttp://arxiv.org/abs/0706.1677
dc.identifierLett. Math. Phys. 82 (2007) 61-77
dc.identifierdoi:10.1007/s11005-007-0186-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146170
dc.subjectDynamical Systems
dc.subjectCombinatorics
dc.subject37A35, 37B40, 52C23
dc.titlePure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
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