Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution

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

Mathematics Subject Classification ID

Enumerative combinatorics (05A99) Graph theory (05C99) Symbolic dynamics (37B10) Automata sequences (11B85)

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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

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