Arithmetic properties of spectra produced by Farey hierarchies of approximants

DOI10.1063/1.532804zbMath0960.82032OpenAlexW1974640362MaRDI QIDQ4701789

Ovidiu Radulescu, T. Janssen

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532804

zbMATH Keywords

diffraction patternsBragg reflectionsFarey setsapproximants of aperiodic crystalsspectra of elementary-excitations

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Miscellaneous applications of number theory (11Z05)

Cites Work

• Modular smoothing and KAM tori
• Dynamics of lattice vibrations for one-dimensional commensurate and incommensurate composites with harmonic interaction
• The Structure of Farey Series

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