Spectral and topological properties of a family of generalised Thue-Morse sequences

DOI10.1063/1.3688337zbMath1274.28006arXiv1201.1423OpenAlexW2039654286MaRDI QIDQ2861765

Michael Baake, Franz Gähler, Uwe Grimm

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1201.1423

zbMATH Keywords

Devil's staircasesingular continuous measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Singular functions, Cantor functions, functions with other special properties (26A30) Spectral sets of linear operators (47A25) Continuity and singularity of induced measures (60G30) Real analysis on time scales or measure chains (26E70)

Related Items (15)

Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples ⋮ Diffraction of compatible random substitutions in one dimension ⋮ Dynamical versus diffraction spectrum for structures with finite local complexity ⋮ Mini-workshop: Dynamical versus diffraction spectra in the theory of quasicrystals. Abstracts from the mini-workshop held November 30 -- December 6, 2014. ⋮ Squirals and beyond: substitution tilings with singular continuous spectrum ⋮ Hexagonal inflation tilings and planar monotiles ⋮ Reversing and extended symmetries of shift spaces ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ On the modulus of continuity for spectral measures in substitution dynamics ⋮ A natural probability measure derived from Stern’s diatomic sequence ⋮ A spectral cocycle for substitution systems and translation flows ⋮ A note on measures vanishing at infinity ⋮ Singular substitutions of constant length ⋮ Spectral and arithmetic structures in aperiodic order ⋮ Monochromatic arithmetic progressions in binary Thue-Morse-like words

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