Spectral theory of substitutions

DOI10.1017/etds.2016.66zbMath1388.37021OpenAlexW2532590789MaRDI QIDQ4643284

Alan Bartlett

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2016.66

zbMATH Keywords

aperiodic \(\mathbb{Z}^{d}\) substitutiontable tiling

Mathematics Subject Classification ID

Related Items (18)

Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples ⋮ On substitution automorphisms with pure singular spectrum ⋮ Substitution-based structures with absolutely continuous spectrum ⋮ Spectral theory of spin substitutions ⋮ Spectral properties of substitutions on compact alphabets ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Lyapunov exponents for binary substitutions of constant length ⋮ Admissible reversing and extended symmetries for bijective substitutions ⋮ Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems ⋮ Automaticity and Invariant Measures of Linear Cellular Automata ⋮ Introduction to Hierarchical Tiling Dynamical Systems ⋮ Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions ⋮ Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials ⋮ Spectral theory of substitutions ⋮ Spectral analysis of a family of binary inflation rules ⋮ Singular substitutions of constant length ⋮ Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction ⋮ Spectral and arithmetic structures in aperiodic order

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