Christoffel words and weak Markoff theory

DOI10.1016/j.aam.2021.102179OpenAlexW3131369943MaRDI QIDQ2020059

Christophe Reutenauer

Publication date: 23 April 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2021.102179

zbMATH Keywords

continued fractionsChristoffel wordscombinatorics on wordsindefinite binary quadratic formsfinite Sturmian words

Mathematics Subject Classification ID

Combinatorics on words (68R15) Permutations, words, matrices (05A05) Continued fractions (11A55) General binary quadratic forms (11E16)

Cites Work

• Combinatorics on words and the theory of Markoff
• Lyndon morphisms
• Continued fractions and the Markoff tree
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• From Christoffel Words to Markoff Numbers
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