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

DOI10.1007/s11005-007-0186-7zbMath1129.37006arXiv0706.1677OpenAlexW3124096974MaRDI QIDQ2466413

Christoph Richard, Michael Baake, Daniel H. Lenz

Publication date: 14 January 2008

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1677

zbMATH Keywords

entropysubstitutionsDelone setsmodel sets

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (13)

Amorphic complexity of group actions with applications to quasicrystals ⋮ Diffraction of compatible random substitutions in one dimension ⋮ Entropy and diffraction of the \(k\)-free points in \(n\)-dimensional lattices ⋮ Inflation word entropy for semi-compatible random substitutions ⋮ ON HIGHER DIMENSIONAL ARITHMETIC PROGRESSIONS IN MEYER SETS ⋮ Complexity as a homeomorphism invariant for tiling spaces ⋮ A note on entropy of Delone sets ⋮ Spectral triples for subshifts ⋮ Ergodic properties of visible lattice points ⋮ Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes ⋮ On pattern entropy of weak model sets ⋮ On embedding of repetitive Meyer multiple sets into model multiple sets ⋮ Irregular model sets and tame dynamics

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