Invertible substitutions and Sturmian sequences.
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Publication:1414634
DOI10.1016/S0195-6698(03)00105-7zbMath1040.11014MaRDI QIDQ1414634
Publication date: 4 December 2003
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Combinatorics on words (68R15) Free semigroups, generators and relations, word problems (20M05) Automata sequences (11B85)
Related Items (7)
Hidden automatic sequences ⋮ Symmetric and congruent Rauzy fractals ⋮ Spectra of discrete Schrödinger operators with primitive invertible substitution potentials ⋮ On extended boundary sequences of morphic and Sturmian words ⋮ Mirror substitutions and palindromic sequences ⋮ On an involution of Christoffel words and Sturmian morphisms ⋮ On substitution invariant Sturmian words: an application of Rauzy fractals
Cites Work
- Substitutions in dynamics, arithmetics and combinatorics
- Substitution dynamical systems - spectral analysis
- Fibonacci morphisms and Sturmian words
- Decomposition theorem on invertible substitutions
- Substitution invariant inhomogeneous Beatty sequences
- Substitution invariant cutting sequences
- Polynomials associated with endomorphisms of free groups
- Sturmian morphisms and Rauzy's rules
- Invariance properties of Sturmian words
- Some properties of the factors of Sturmian sequences.
- On invertible substitutions with two fixed points
- Substitution invariant Sturmian bisequences
- Beatty Sequences, Continued Fractions, and Certain Shift Operators
- Determination of [nθ by its Sequence of*Differences]
- A Characterization of the Quadratic Irrationals
- Sturmian Minimal Sets
- Some properties of the singular words of the Fibonacci word
- Pisot substitutions and Rauzy fractals
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