Spectral triples and characterization of aperiodic order

DOI10.1112/PLMS/PDR025zbMath1243.46062arXiv1010.0156OpenAlexW2328418351MaRDI QIDQ3115850

Jean Savinien, Johannes Kellendonk

Publication date: 11 February 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0156

zbMATH Keywords

zeta-functionspectral triplesSturmian subshiftsepisturmian subshiftsrepetitive tilings

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (8)

Regularity of aperiodic minimal subshifts ⋮ Isometries of Kellendonk–Savinien spectral triples and Connes metrics ⋮ A characterization of subshifts with bounded powers ⋮ Spectral triples for subshifts ⋮ Quantum Metric Spaces and the Gromov-Hausdorff Propinquity ⋮ Fractal spectral triples on Kellendonk's \(C^\ast\)-algebra of a substitution tiling ⋮ A metric characterisation of repulsive tilings ⋮ A classification of aperiodic order via spectral metrics and Jarník sets

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