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Christoffel Words and Markoff Triples
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Christophe Reutenauer
Published/Copyright:
August 20, 2009
Abstract
We construct a bijection between Markoff triples and Christoffel words.
Keywords.: Christoffel words; Markoff numbers; Fricke identities; free group; special linear group; continued fractions; discrete lines
Received: 2008-08-05
Accepted: 2009-01-26
Published Online: 2009-08-20
Published in Print: 2009-August
© de Gruyter 2009
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Articles in the same Issue
- Preface
- Symmetric CNS Trinomials
- On the β-Expansion of an Algebraic Number in an Algebraic Base β
- A Planar Integral Self-Affine Tile with Cantor Set Intersections with Its Neighbors
- Beta-Expansions with Negative Bases
- Convergence in Möbius Number Systems
- Factor Complexity of Infinite Words Associated with Non-Simple Parry Numbers
- On the Boundary of the Set of the Closure of Contractive Polynomials
- Christoffel Words and Markoff Triples
- Characterizations of Words with Many Periods
Keywords for this article
Christoffel words;
Markoff numbers;
Fricke identities;
free group;
special linear group;
continued fractions;
discrete lines
Articles in the same Issue
- Preface
- Symmetric CNS Trinomials
- On the β-Expansion of an Algebraic Number in an Algebraic Base β
- A Planar Integral Self-Affine Tile with Cantor Set Intersections with Its Neighbors
- Beta-Expansions with Negative Bases
- Convergence in Möbius Number Systems
- Factor Complexity of Infinite Words Associated with Non-Simple Parry Numbers
- On the Boundary of the Set of the Closure of Contractive Polynomials
- Christoffel Words and Markoff Triples
- Characterizations of Words with Many Periods
