Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution
From MaRDI portal
Publication:1606161
DOI10.5802/jtnb.328zbMath1038.37010OpenAlexW2334574648MaRDI QIDQ1606161
Nataliya Chekhova, Pascal Hubert, Ali Messaoudi
Publication date: 24 July 2002
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_2001__13_2_371_0
Enumerative combinatorics (05A99) Graph theory (05C99) Symbolic dynamics (37B10) Automata sequences (11B85)
Related Items
Some properties of the Tribonacci sequence ⋮ Dynamical directions in numeration ⋮ Recurrence functions of Arnoux-Rauzy sequences, and answer to a question of Morse and Hedlund ⋮ Mechanical Proofs of Properties of the Tribonacci Word ⋮ On the product of balanced sequences ⋮ Abelian Complexity and Synchronization ⋮ Episturmian words: a survey ⋮ Minoration of the complexity function associated to a translation on the torus ⋮ Fractal tiles associated with shift radix systems ⋮ Sparse generalised polynomials ⋮ Unnamed Item ⋮ Sturmian and Episturmian Words ⋮ Dynamical generalizations of the Lagrange spectrum ⋮ Return words in Sturmian and episturmian words ⋮ Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\) ⋮ Weak mixing and eigenvalues for Arnoux-Rauzy sequences ⋮ Best simultaneous Diophantine approximations of some cubic algebraic numbers ⋮ Structure of three interval exchange transformations. I: An arithmetic study ⋮ On a class of Rauzy fractals without the finiteness property ⋮ Coding of a translation of the two-dimensional torus ⋮ Complexity for finite factors of infinite sequences ⋮ A class of cubic Rauzy fractals ⋮ Episturmian words and episturmian morphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relationships between the dynamical systems associated to the Rauzy substitutions
- Frequencies of factors of Sturmian sequences
- On the number of factors of Sturmian words
- On Rauzy fractal
- Sur les facteurs des suites de Sturm. (On the factors of the Sturmian sequences.)
- A family of counterexamples in ergodic theory
- Substitution dynamical systems - spectral analysis
- Recurrent sets
- Fibonacci morphisms and Sturmian words
- Arithmetical properties of a certain power series
- Arithmetic and dynamical properties of the Rauzy fractal
- Limit values of the recurrence quotient of Sturmian sequences
- Some combinatorial properties of Sturmian words
- Transcendence of numbers with a low complexity expansion
- On some dynamical subsets of the Rauzy fractal
- Three distance theorems and combinatorics on words
- The fractional part of \(n\theta + \phi\) and Beatty sequences
- A certain power series and the inhomogeneous continued fraction expansions
- Covering numbers of rotations
- Finite beta-expansions
- Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
- Nombres algébriques et substitutions
- Systems of Numeration
- Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
- Complex Numbers with Three Radix Expansions
- Représentation géométrique de suites de complexité $2n+1$
- Transformations With Discrete Spectrum are Stacking Transformations
- A GEOMETRIC PROOF OF THE ENUMERATION FORMULA FOR STURMIAN WORDS
- Systems of finite rank
- Frontière du fractal de Rauzy et système de numération complexe
- Reconnaissabilité des substitutions et complexité des suites automatiques
- On the characteristic word of the inhomogeneous Beatty sequence
- A certain power series associatedwith a Beatty sequence
- Meilleures approximations d'un élément du tore
- Sequences with minimal block growth
- The scenery flow for geometric structures on the torus: The linear setting
