Multidimensional constant-length substitution sequences

DOI10.1016/j.topol.2004.08.014zbMath1074.37016OpenAlexW1965297456MaRDI QIDQ2566256

Natalie Priebe Frank

Publication date: 22 September 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.08.014

zbMATH Keywords

symbolic dynamicsdynamical spectrumtiling dynamical systemssubstitution sequencesselfsimilar tilings

Mathematics Subject Classification ID

Related Items (24)

Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples ⋮ Factor maps and embeddings for random \(\mathbb{Z}^d\) shifts of finite type ⋮ Dynamical versus diffraction spectrum for structures with finite local complexity ⋮ Squirals and beyond: substitution tilings with singular continuous spectrum ⋮ CORRELATION AND SPECTRAL PROPERTIES OF MULTIDIMENSIONAL THUE–MORSE SEQUENCES ⋮ Spectral theory of spin substitutions ⋮ Homomorphisms between multidimensional constant-shape substitutions ⋮ Spectral properties of substitutions on compact alphabets ⋮ Admissible reversing and extended symmetries for bijective substitutions ⋮ Monochromatic arithmetic progressions in automatic sequences with group structure ⋮ The Thue-Morse-Pascal double sequence and similar structures ⋮ 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 notions of aperiodic order ⋮ Spectral theory of substitutions ⋮ A primer of substitution tilings of the Euclidean plane ⋮ Averages of automatic sequences ⋮ Extended symmetry groups of multidimensional subshifts with hierarchical structure ⋮ 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 ⋮ A computer search for planar substitution tilings with \(n\)-fold rotational symmetry ⋮ Spectral and topological properties of a family of generalised Thue-Morse sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the table and the chair
• Substitutions in dynamics, arithmetics and combinatorics
• Substitution dynamical systems - spectral analysis
• Non-negative matrices and Markov chains. 2nd ed
• Space tilings and local isomorphism
• Nonperiodicity implies unique composition for self-similar translationally finite tilings
• Tiling and local rank properties of the Morse sequence
• A survey of recent results in the spectral theory of ergodic dynamical systems
• Strongly mixing g-measures
• On the Spectral Multiplicity of a Class of Finite Rank Transformations
• The spectrum of dynamical systems arising from substitutions of constant length
• Dynamics of self-similar tilings
• Substitution sequences in \mathbb{Z}^{d} with a non-simple Lebesgue component in the spectrum
• Reconnaissabilité des substitutions et complexité des suites automatiques
• Generalized Morse sequences

This page was built for publication: Multidimensional constant-length substitution sequences