Spectrum of a Rudin-Shapiro-like sequence

DOI10.1016/j.aam.2016.12.003zbMath1375.37035arXiv1611.04446OpenAlexW2556896145MaRDI QIDQ2356766

Lax Chan, Uwe Grimm

Publication date: 6 June 2017

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04446

zbMATH Keywords

spectral measurediffractionsubstitution dynamical systemBartlett's algorithm

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Symbolic dynamics (37B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (10)

On substitution automorphisms with pure singular spectrum ⋮ Pseudorandom sequences derived from automatic sequences ⋮ Substitution-based structures with absolutely continuous spectrum ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Lyapunov exponents for binary substitutions of constant length ⋮ On the \(N\)th maximum order complexity and the expansion complexity of a Rudin-Shapiro-like sequence ⋮ Introduction to Hierarchical Tiling Dynamical Systems ⋮ Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions ⋮ Singular substitutions of constant length ⋮ Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction

Cites Work

• Unnamed Item
• Some properties of a Rudin-Shapiro-like sequence
• Substitutions in dynamics, arithmetics and combinatorics
• Substitution dynamical systems. Spectral analysis
• Spectral theory and x-ray diffraction
• Some Theorems on Fourier Coefficients
• Generalized Rudin-Shapiro sequences
• Automatic Sequences
• Substitution sequences in \mathbb{Z}^{d} with a non-simple Lebesgue component in the spectrum
• On a Golay-Shapiro-Like Sequence
• Decidability of periodicity for infinite words

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