Certain words on the real projective line
From MaRDI portal
Publication:1311042
DOI10.5802/jtnb.77zbMath0839.11008OpenAlexW2067989196MaRDI QIDQ1311042
Jean-Pierre Borel, François Laubie
Publication date: 19 June 1996
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_1993__5_1_23_0
Combinatorics on words (68R15) Continued fractions (11A55) Automata sequences (11B85) Other number representations (11A67)
Related Items (57)
An output-sensitive algorithm to compute the normal vector of a digital plane ⋮ The Characterization of Rational Numbers Belonging to a Minimal Path in the Stern-Brocot Tree According to a Second Order Balancedness ⋮ Lyndon + Christoffel = digitally convex ⋮ Moments of conjugacy classes of binary words ⋮ Sturmian words, \(\beta\)-shifts, and transcendence ⋮ Two equivalence relations on digital lines with irrational slopes. A continued fraction approach to upper mechanical words ⋮ On a generalization of Christoffel words: epichristoffel words ⋮ Conjugacy of morphisms and Lyndon decomposition of standard Sturmian words ⋮ A characterization of binary morphisms generating Lyndon infinite words ⋮ Quasiperiodic and Lyndon episturmian words ⋮ Palindromes in the Fibonacci word ⋮ Decision algorithms for Fibonacci-automatic Words, I: Basic results ⋮ Unnamed Item ⋮ Episturmian words: a survey ⋮ On the conjugation of standard morphisms ⋮ Invariance properties of Sturmian words ⋮ Unnamed Item ⋮ Sturmian words, Lyndon words and trees ⋮ Standard Sturmian morphisms ⋮ Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum ⋮ Convexity preserving deformations of digital sets: characterization of removable and insertable pixels ⋮ Reprint of: ``Palindromization and construction of Markoff triples ⋮ Algorithms for pixelwise shape deformations preserving digital convexity ⋮ Properties of SAT formulas characterizing convex sets with given projections ⋮ On the Stern-Brocot expansion of real numbers ⋮ A one-parameter family of Dirichlet series whose coefficients are Sturmian words ⋮ A remark on morphic sturmian words ⋮ Dynamic Minimum Length Polygon ⋮ On an involution of Christoffel words and Sturmian morphisms ⋮ MINIMAL DUVAL EXTENSIONS ⋮ Discrete segments of \(\mathbb{Z}^3\) constructed by synchronization of words ⋮ Palindromic factors of billiard words ⋮ Minimal non-convex words ⋮ Factors of characteristic words of irrational numbers ⋮ On a characteristic property of ARNOUX–RAUZY sequences ⋮ A Sturmian sequence related to the uniqueness conjecture for Markoff numbers ⋮ On Markoff's property and Sturmian words ⋮ On Christoffel and standard words and their derivatives ⋮ Sturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\) ⋮ On quadratic numbers and forms, and Markoff theory ⋮ Palindromization and construction of Markoff triples ⋮ Combinatorial View of Digital Convexity ⋮ On Christoffel classes ⋮ Operations on Christoffel words ⋮ Sturmian substitutions on two letters, cutting paths and their projections ⋮ Intertwinings of periodic sequences ⋮ Two linear-time algorithms for computing the minimum length polygon of a digital contour ⋮ Two Linear-Time Algorithms for Computing the Minimum Length Polygon of a Digital Contour ⋮ Sturmian words and Cantor sets arising from unique expansions over ternary alphabets ⋮ Christoffel Words and Markoff Triples: An Algebraic Approach ⋮ SOME EXTREMAL PROPERTIES OF THE FIBONACCI WORD ⋮ Inequalities characterizing standard Sturmian and episturmian words ⋮ Further steps on the reconstruction of convex polyominoes from orthogonal projections ⋮ Second Order Balance Property on Christoffel Words ⋮ Sturmian words and the Stern sequence ⋮ On low-complexity bi-infinite words and their factors ⋮ Studies on finite Sturmian words
Cites Work
- Arithmetical properties of a certain power series
- Free Lie algebras and free monoids. Bases of free Lie algebras and factorizations of free monoids
- Substitution invariant cutting sequences
- On continued fractions and finite automata
- A Characterization of the Quadratic Irrationals
- Descriptions of the Characteristic Sequence of an Irrational
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Certain words on the real projective line